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Number of results: 62
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Abstract

The problem of the design of a perfect reduced-order unknown-input observer for standard systems is formulated and solved. The procedure of designing the observer using well-known canonical form is proposed and illustrated with a numerical example. Necessary and sufficient conditions for the solvability of the procedure are given.

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Authors and Affiliations

S. Krzemiński
T. Kaczorek
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Abstract

This paper deals with an observer design for a p-cell chopper. The goal is to reduce drastically the number of sensors in such system by using an observer in order to estimate all the capacitor voltages. Furthermore, considering an instantaneous model of a p-cell chopper, an interconnected observer is designed in order to estimate the capacitor voltages. This is realized by using only the load current measurement. Simulation results are given in order to illustrate the performance of such observer. To demonstrate the validity of our approach, experimental results based on Digital Signal Processor (DSP) are presented.

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Authors and Affiliations

Kamel Laidi
Khalifa Benmansour
Abdelaziz Ferdjouni
Ouahid Bouchhida
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Abstract

The paper presents the results of the studies on the determination of the degree of dependence between the adjusted observations, on the basis of the levels of their coexistence in a network. An approximate model is proposed making it possible to estimate that dependence without the necessity to perform the adjustment procedure. This model can be applied in the procedures of gross error detection in observations. Additionally, a supplementary algorithm to determine the coexistence levels for the observations on the grounds of the matrix of coefficients in the observation equations is presented.
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Authors and Affiliations

Mieczysław Kwaśniak
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Abstract

The paper recapitulates recently conducted investigations of non-proportional Luenberger observers, applied to reconstruction of state variables of induction motors. Three structures of non-proportional observers are analyzed, a proportional-integral observer, modified integral observer and observer with integrators. Criteria for gain selection of the observer are described, classical ones based on poles, as well as additional, increasing observer’s robustness. Fulfilment of the presented criteria can be ensured with the three proposed methods for gain selection, two analytical, based on dyadic transformation and one based on optimization.

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Authors and Affiliations

Tadeusz Białoń
Arkadiusz Lewicki
Marian Pasko
Roman Niestrój
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Abstract

The paper presents the method and results of measurements carried out at four secular points: P, — Wilczekodden, P2 — Hyttevika, P3 — Gashamna and P4 — Treskelodden. No essential changes were found in the distribution of the anomalous field ΔT with respect to the results of observations made in 1979.

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Authors and Affiliations

Andrzej Koblański
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Abstract

The article proposes a new method of reproducing the angular speed of the rotor of a cage induction machine designed for speed observers based on the adaptive method. In the proposed solution, the value of the angular speed of the rotor is not determined by the classical law of adaptation using the integrator only by an algebraic relationship. Theoretical considerations were confirmed by simulation and experimental tests.

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Authors and Affiliations

M. Morawiec
P. Kroplewski
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Abstract

The time period of a jet engines full acceleration (from idle run rotating speed to full thrust) is a very important operational parameter. Minimization of this period is an important problem to be solved during the design of the fuel supply and control system. There are many methods of acceleration process control, especially in the case of engines with complicated design configurations. This work presents the problem of acceleration of a simple, single spool turbine jet engine with a so-called stable geometry, in which only one input (control) signal exists - fuel flow rate. Two methods of acceleration control consisting of limitation of the maximum allowable temperature of working medium in front of and behind the turbine in transient states were analyzed. In order to avoid difficulties associated with the direct measurement of actual temperatures, the so-called nonlinear engine observer was applied. With the use of the computer simulation method it was proven that the control algorithm with the limited maximum temperature in front of the turbine makes it possible the shortening of the acceleration time period significantly in comparison with a similar algorithm, that realizes the limitation of temperature behind the turbine.
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Authors and Affiliations

Wojciech I. Pawlak
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Abstract

This paper deals with the problem of stabilization by an estimated state feedback for a family of nonlinear time-delay Takagi-Sugeno fuzzy parameterized systems. The delay is supposed to be constant where the parameter-dependent controls laws are used to compensate the nonlinearities which are formulated in terms of linear matrix inequalities (LMIs). Based on the Lyapunov- Krasovskii functionals, global exponential stability of the closed-loop systems is achieved. The controller and observer gains are able to be separately designed even in the presence of modeling uncertainty and state delay. Finally, a numerical example is given to show the applicability of the main result.
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Authors and Affiliations

Nizar Hadj Taieb
1
Mohamed Ali Hammami
2
François Delmotte
3

  1. University of Sfax, IPEIS Sfax, Tunisia
  2. University of Sfax, Faculty of Sciences of Sfax, Tunisia
  3. University of Artois, Bethune, France
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Abstract

The Bulletin of the Polish Academy of Sciences: Technical Sciences (Bull.Pol. Ac.: Tech.) is published bimonthly by the Division IV Engineering Sciences of the Polish Academy of Sciences, since the beginning of the existence of the PAS in 1952. The journal is peer‐reviewed and is published both in printed and electronic form. It is established for the publication of original high quality papers from multidisciplinary Engineering sciences with the following topics preferred: Artificial and Computational Intelligence, Biomedical Engineering and Biotechnology, Civil Engineering, Control, Informatics and Robotics, Electronics, Telecommunication and Optoelectronics, Mechanical and Aeronautical Engineering, Thermodynamics, Material Science and Nanotechnology, Power Systems and Power Electronics.

Journal Metrics: JCR Impact Factor 2018: 1.361, 5 Year Impact Factor: 1.323, SCImago Journal Rank (SJR) 2017: 0.319, Source Normalized Impact per Paper (SNIP) 2017: 1.005, CiteScore 2017: 1.27, The Polish Ministry of Science and Higher Education 2017: 25 points.

Abbreviations/Acronym: Journal citation: Bull. Pol. Ac.: Tech., ISO: Bull. Pol. Acad. Sci.-Tech. Sci., JCR Abbrev: B POL ACAD SCI-TECH Acronym in the Editorial System: BPASTS.

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Authors and Affiliations

N. Hadj Taieb
M.A. Hammami
F. Delmotte
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Abstract

The Bulletin of the Polish Academy of Sciences: Technical Sciences (Bull.Pol. Ac.: Tech.) is published bimonthly by the Division IV Engineering Sciences of the Polish Academy of Sciences, since the beginning of the existence of the PAS in 1952. The journal is peer‐reviewed and is published both in printed and electronic form. It is established for the publication of original high quality papers from multidisciplinary Engineering sciences with the following topics preferred: Artificial and Computational Intelligence, Biomedical Engineering and Biotechnology, Civil Engineering, Control, Informatics and Robotics, Electronics, Telecommunication and Optoelectronics, Mechanical and Aeronautical Engineering, Thermodynamics, Material Science and Nanotechnology, Power Systems and Power Electronics.

Journal Metrics: JCR Impact Factor 2018: 1.361, 5 Year Impact Factor: 1.323, SCImago Journal Rank (SJR) 2017: 0.319, Source Normalized Impact per Paper (SNIP) 2017: 1.005, CiteScore 2017: 1.27, The Polish Ministry of Science and Higher Education 2017: 25 points.

Abbreviations/Acronym: Journal citation: Bull. Pol. Ac.: Tech., ISO: Bull. Pol. Acad. Sci.-Tech. Sci., JCR Abbrev: B POL ACAD SCI-TECH Acronym in the Editorial System: BPASTS.

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Authors and Affiliations

Nadhem Echi
Boulbaba Ghanmi
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Abstract

A kind of generalized proportional-integral(GPI) observer for descriptor linear systems is introduced. We first propose two complete parametric solutions to generalized Sylvester matrix equation corresponding to the left eigenvector matrices in the case of Jordan form. Then a parametric design approach for the observer is presented. The proposed method provides all parametric expression of the gain matrices and the corresponding finite left eigenvector matrix and guarantees the regularity and impulse-freeness of the expanded error system. Two numerical examples are given to explain the design procedure and illustrate the effectiveness of the proposed method.

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Authors and Affiliations

Xin-Tao Wang
Hai-Hua Yu
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Abstract

In this paper, we propose a robust nonlinear control design concept based on a coefficient diagram method and backstepping control, combined with a nonlinear observer for the magnetic levitation system to achieve precise position control in the existence of external disturbance, parameters mismatch with considerable variations and sensor noise in the case, where the full system states are supposed to be unavailable. The observer converges exponentially and leads to good estimate as well as a good track of the steel ball position with the reference trajectory. A simulation results are provided to show the excellent performance of the designed controller.
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Authors and Affiliations

Fouad Haouari
Mohamed Seghir Boucherit
Nourdine Bali
Mohamed Tadjine
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Abstract

Automation of earth moving machineries is a widely studied problem. This paper focusses on one of the main challenges in automation of the earth moving industry, estimation of loading torque acting on the machinery. Loading torque acting on the excavation machinery is a very significant aspect in terms of both machine and operator safety. In this study, a disturbance observer-assisted control system for the estimation of loading torque acting on a robotic backhoe during excavation process is presented. The proposed observer does not use any acceleration measurements, rather, is proposed as a function of joint velocity. Numerical simulations are performed to demonstrate the effectiveness of the proposed control scheme in tracking the reaction torques for a given dig cycle. Co-simulation experiments demonstrate robust performance and accurate tracking of the proposed control in both disturbance torque and position tracking. Further, the performance and sensitivity of the proposed control are also analyzed through the help of performance error quantifiers, the root-mean-square (RMS) values of the position and disturbance tracking errors.

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Bibliography

[1] R.C. Winck, M. Elton, and W.J. Book. A practical interface for coordinated position control of an excavator arm. Automation in Construction, 51:46–58, 2015. doi: 10.1016/j.autcon.2014.12.012.
[2] D. Wang, L. Zheng, H. Yu, W. Zhou, and L. Shao. Robotic excavator motion control using a nonlinear proportional-integral controller and cross-coupled pre-compensation. Automation in Construction, 64:1-6, 2016. doi: 10.1016/j.autcon.2015.12.024.
[3] H. Feng, C. Yin, W. Weng, W. Ma, J. Zhou, W. Jia, and Z. Zhang. Robotic excavator trajectory control using an improvedGAbased PID controller. Mechanical Systems and Signal Processing, 105:153–168, 2018. doi: 10.1016/j.ymssp.2017.12.014.
[4] P. Saeedi, P.D. Lawrence, D.G. Lowe, P. Jacobsen, D. Kusalovic, K. Ardron, and P.H. Sorensen. An autonomous excavator with vision-based track-slippage control. IEEE Transactions on Control Systems Technology, 13(1):67–84, 2005. doi: 10.1109/TCST.2004.838551.
[5] D. Kim, J. Kim, K. Lee, C. Park, J. Song, and D. Kang. Excavator tele-operation system using a human arm. Automation in Construction, 18(2):173–182, 2009. doi: 10.1016/j.autcon.2008.07.002.
[6] J. Yoon and A. Manurung. Development of an intuitive user interface for a hydraulic backhoe. Automation in Construction, 19(6):779–790, 2010. doi: 10.1016/j.autcon.2010.04.002.
[7] S. Dadhich, U. Bodin, and U. Andersson. Key challenges in automation of earth-moving machines. Automation in Construction, 68:212–222, 2016. doi: 10.1016/j.autcon.2016.05.009.
[8] Y. Liu, M.S. Hasan, and H.-N. Yu. Modelling and remote control of an excavator. International Journal of Automation and Computing, 7(3):349–358, 2010. doi: 10.1007/s11633-010-0514-8.
[9] S. Kim, J. Park, S. Kang, P.Y. Kim, and H.J. Kim.Arobust control approach for hydraulic excavators using μ-synthesis. International Journal of Control, Automation and Systems, 16(4):1615–1628, 2018. doi: 10.1007/s12555-017-0071-9.
[10] Q.H. Nguyen, Q.P. Ha, D.C. Rye, and H.F. Durrant-Whyte. Force/position tracking for electrohydraulic systems of a robotic excavator. In Proceedings of the 39th IEEE Conference on Decision and Control, volume 5, pages 5224–5229, Sydney, Australia, 12-15 Dec. 2000. doi: 10.1109/CDC.2001.914787.
[11] Q. P. Ha, Q.H. Nguyen, D.C. Rye, and H.F. Durrant-Whyte. Impedance control of a hydraulically actuated robotic excavator. Automation in Construction, 9(5-6):421–435, 2000. doi: 10.1016/S0926-5805(00)00056-X.
[12] Q. Ha, M. Santos, Q. Nguyen, D. Rye, and H. Durrant-Whyte. Robotic excavation in construction automation. IEEE Robotics & Automation Magazine, 9(1):20–28, 2002. doi: 10.1109/100.993151.
[13] S.E. Salcudean, S. Tafazoli, P.D. Lawrence, and I. Chau. Impedance control of a teleoperated mini excavator. In 1997 8th International Conference on Advanced Robotics. Proceedings. ICAR’97, pages 19–25, Monterey, USA, 7-9 July 1997. doi: 10.1109/ICAR.1997.620156.
[14] S. Tafazoli, S.E. Salcudean, K. Hashtrudi-Zaad, and P.D. Lawrence. Impedance control of a teleoperated excavator. IEEE Transactions on Control System Technology, 10(3):355–367, 2002. doi: 10.1109/87.998021.
[15] M.D. Elton and W.J. Book. Comparison of human-machine interfaces designed for novices teleoperating multi-DOF hydraulic manipulators. In 2 011 RO-MAN Symposium, pages 395–400, Atlanta, USA, 31 July – 3 Aug. 2011. doi: 10.1109/ROMAN.2011.6005250.
[16] M.E. Kontz. Haptic Control of Hydraulic Machinery Using Proportional Valves. Ph.D Thesis, School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, USA, 2007.
[17] B. Frank, L. Skogh, R. Filla, A. Fröberg, and M. Alaküla. On increasing fuel efficiency by operator assistant systems in a wheel loader. In Proceedings of International Conference on Advanced Vehicle Technologies and Integration, pages 155–161, Changchun, China, 2012. doi: 10.13140/RG.2.1.3129.1362.
[18] H. Cannon and S. Singh. Models for automated earthmoving. In Experimental Robotics VI, pages 163–172, Springer, London 2000. doi: 10.1007/BFb0119395.
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[21] A.J. Koivo, M. Thoma, E. Kocaoglan, and J. Andrade-Cetto. Modeling and control of excavator dynamics during digging operation. Journal of Aerospace Engineering, 9(1):10–18, 1996. doi: 10.1061/(ASCE)0893-1321(1996)9:1(10).
[22] S. Li, J. Yang, W.H. Chen, and X. Chen. Disturbance Observer Based Control: Methods and Applications. CRC Press, 2014.
[23] S. Mohan and J. K. Mohanta. Dual integral sliding mode control loop for mechanical error correction in trajectory-tracking of a planar 3-PRP parallel manipulator. Journal of Intelligent & Robotic Systems, 89(3-4):371–385, 2018. doi: 10.1007/s10846-017-0553-2.
[24] S. Mohan. Error analysis and control scheme for the error correction in trajectorytracking of a planar 2PRP-PPR parallel manipulator. Mechatronics, 46:70–83, 2017. doi: 10.1016/j.mechatronics.2017.07.003.
[25] G.J. Maeda, I.R. Manchester, and D.C. Rye. Combined ILC and disturbance observer for the rejection of near-repetitive disturbances, with application to excavation. IEEE Transactions on Control Systems Technology, 23(5):1754–1769, 2015. doi: 10.1109/TCST.2014.2382579.
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[27] D. Sosa-Méndez, E. Lugo-González, M. Arias-Montiel, and R.A. García-García, ADAMSMATLAB co-simulation for kinematics, dynamics, and control of the Stewart–Gough platform. International Journal of Advanced Robotic Systems, 14(4), 2017. doi: 10.1177/1729881417719824.
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Authors and Affiliations

Meera C S
1
Mukul Kumar Gupta
1
Santhakumar Mohan
2

  1. Department of Electrical and Electronics Engineering, University of Petroleum and Energy Studies (UPES), Dehradun (UK), India.
  2. Discipline of Mechanical Engineering, Indian Institute of Technology Palakkad, Palakkad (Kerala), India.
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Abstract

The aim of the work is to develop and test an algorithm of adjustment of geodetic observations, resistant to gross errors (method of robust estimations), with the use of the damping function, proposed by the author. Detailed formulae of the damping function as a component of the objective function in a modified classic least squares method were derived. The selection criteria for the controlling parameters of the damping functions have also been provided. The effectiveness of the algorithm has been verified with two numerical examples. The results have been analysed with reference to the methods of resistant compensation, which apply other damping functions, e.g. Hampel's function.
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Authors and Affiliations

Tadeusz Gargula
ORCID: ORCID
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Abstract

The observation inflation effect consists in the fact that observing an action being performed can create false memories that this action has actually been performed by the observer. The present study examined the relationship between this effect and interrogative suggestibility. A procedure based on the Gudjonsson Suggestibility Scale was used to assess two kinds of suggestibility: the tendency to yield to suggestive questions (Yield) and the tendency to change answers after feedback (Shift). The participants first watched a film depicting a woman performing simple activities and performed various activities themselves during the film. In order to determine whether the observation inflation effect occurred, the participants performed a source-monitoring test. The observation inflation effect was replicated. Observation inflation correlated positively with Yield but not with Shift. This pattern of results can be explained by the fact these two indicators are different aspects of interrogative suggestibility. Shift is more related to social influence, while Yield is more cognitive in its nature.

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Authors and Affiliations

Magdalena Kękuś
Regina Dziubańska
Iga Komęza
Iwona Dudek
Klaudia Chylińska
Malwina Szpitalak
ORCID: ORCID
Romuald Polczyk
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Abstract

This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coefficient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.
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Authors and Affiliations

Lazaros Moysis
1
Meenakshi Tripathi
2
Mahendra Kumar Gupta
2
Muhammad Marwan
3
Christos Volos
1

  1. Laboratory of Nonlinear Systems – Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece
  2. Department of Mathematics, National Institute of Technology Jamshedpur, Jamshedpur, India
  3. Department of Mathematics, Zhejiang Normal University, Jinhua, China
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Abstract

We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability.Ageneral approachwas given to minimize the linear quadratic problem. Examples and numerical simulations are given.
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Authors and Affiliations

El Mostafa Magri
1
Chadi Amissi
1
Larbi Afifi
1
Mustapha Lhous
1

  1. Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P.5366-Maârif, Casablanca, Morocco
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Abstract

The present-day methods of supervising the operational use of jet engines are based, among other things, on computerised procedures of monitoring and recording various failure modes, including the surge. This dangerous mode of operation of a turbojet engine occurs quite commonly while operating it. In some cases, it could result even in the engine destruction. What has been presented in this study is the way of applying a non-linear observer of a one-spool single-flow turbojet to generate a computer algorithm to detect the surging. An exemplary application of such an algorithm to monitor the surging that occurs in the K-15 engine has also been shown.
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Authors and Affiliations

Wojciech I. Pawlak
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Abstract

A large class of nonlinear systems can be represented or well approximated by Takagi- Sugeno (TS) fuzzy models, which in theory can approximate a general nonlinear system to an arbitrary degree of accuracy. The TS fuzzy model consists of a fuzzy rule base. The rule antecedents partition a given subspace of the model variables into fuzzy regions, while the consequent of each rule is usually a linear or affine model, valid locally in the corresponding region. In this paper, the observer design problem for a T-S fuzzy system subject to Lypschitz perturbation is investigated. First, an observer of Kalman type is designed to estimate the unknown system states. Then, the class of one-sided Lipschitz for a TS fuzzy system subject to a sufficient condition on the bound is studied. The challenges are discussed and some analysis oriented tools are provided. An example is given to show the applicability of the main result.
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Authors and Affiliations

Francois Delmotte
1
Mohamed Ali Hammami
2
Nour El Houda Rettab
2

  1. University of Artois, Bethune, France
  2. University of Sfax, Faculty of Sciences of Sfax, Tunisia
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Abstract

The paper focuses on the problem of robust fault detection using analytical methods and soft computing. Taking into account the model-based approach to Fault Detection and Isolation (FDI), possible applications of analytical models, and first of all observers with unknown inputs, are considered. The main objective is to show how to employ the bounded-error approach to determine the uncertainty of soft computing models (neural networks and neuro-fuzzy networks). It is shown that based on soft computing models uncertainty defined as a confidence range for the model output, adaptive thresholds can be described. The paper contains a numerical example that illustrates the effectiveness of the proposed approach for increasing the reliability of fault detection. A comprehensive simulation study regarding the DAMADICS benchmark problem is performed in the final part.

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Authors and Affiliations

J. Korbicz
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Abstract

The paper presents a solution for sensorless field oriented control (FOC) system for five-phase induction motors with improved rotor flux pattern. In order to obtain the advantages of a third harmonic injection with a quasi-trapezoidal flux shape, two vector models, α1–β1 and α3–β3, were transformed into d1–q1, d3–q3 rotating frames, which correlate to the 1st and 3rd harmonic plane respectively. A linearization approach of the dual machine model in dq coordinate frames is proposed by introducing a new additional variable “x” which is proportional to the electromagnetic torque. By applying the static feedback control law, a dual mathematical model of the five-phase induction motor was linearized to synthesize a control system in which the electromagnetic torque and the rotor flux can be independently controlled. The results shows the air gap flux shape in steady as well transient states under various load conditions. Moreover, the implemented control structure acquires fault tolerant properties and leads to possible emergency running with limited operation capabilities. The fault-tolerant capability of the analyzed machine was guaranteed by a special implemented control system with a dedicated speed observer, which is insensitive to open-phase fault situation. The experimental tests have been performed with single and double-open stator phase fault. A torque measurement was implemented to present the mechanical characteristics under healthy and faulty conditions of the drive system.

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Authors and Affiliations

F. Wilczyński
P. Strankowski
J. Guziński
M. Morawiec
A. Lewicki
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Abstract

The paper studies the fault identification problem for linear control systems under the unmatched disturbances. A novel approach to the construction of a sliding mode observer is proposed for systems that do not satisfy common conditions required for fault estimation, in particular matching condition, minimum phase condition, and detectability condition. The suggested approach is based on the reduced order model of the original system. This allows to reduce complexity of sliding mode observer and relax the limitations imposed on the original system.
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Bibliography

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Authors and Affiliations

Alexey Zhirabok
1 2
Alexander Zuev
2
Vladimir Filaretov
3
Alexey Shumsky
1

  1. Far Eastern Federal University, Vladivostok 690091, Russia
  2. Institute of Marine Technology Problems, Vladivostok, 690091, Russia
  3. Institute of Automation and Processes of Control, Vladivostok, 690014, Russia
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Abstract

The studied problem in this paper, treat the issue of state and fault estimation using a fuzzy observer in the case of unmeasurable decision variable for Discrete-Time Takagi-Sugeno Singular Sytems (DTSSS). First, an augmented system is introduced to gather state and fault into a single vector, then on the basis of Singular Value Decomposition (SVD) approach, this observer is designed in explicit form to estimate both of state and fault of a nonlinear singular system. The exponential stability of this observer is studied using Lyapunov theory and the convergence conditions are solved with Linear Matrix Inequalities (LMIs). Finally a numerical example is simulated, and results are given to validate the offered approach.
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Authors and Affiliations

Khaoula Aitdaraou
1 2
Mohamed Essabre
3
Abdellatif El Assoudi
1 2
El Hassane El Yaagoubi
1 2

  1. Laboratory of High Energy Physics and Condensed Matter, Faculty of Science, Hassan II University of Casablanca, B.P 5366, Maarif Casablanca, Morocco
  2. ECPI, Department of Electrical Engineering, ENSEM Hassan II University of Casablanca, B.P 8118, Oasis Casablanca, Morocco
  3. Laboratory of Materials, Energy and Control Systems, Faculty of Sciences and Technologies Mohammedia, Hassan II University of Casablanca, Morocco
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Abstract

Generalized observers are proposed to relax the existing conditions required to design Luenberger observers for rectangular linear descriptor systems with unknown inputs. The current work is focused on designing index one generalized observers, which can be naturally extended to higher indexes. Sufficient conditions in terms of system operators for the existence of generalized observers are given and proved. Orthogonal transformations are used to derive the results. A physical model is presented to show the usefulness of the proposed theory.
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Authors and Affiliations

Abhinav Kumar
1
Mahendra Kumar Gupta
1 2

  1. Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand, India
  2. School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Argul, Khordha, Odisha, 752050 – India

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