Applied sciences

Archives of Control Sciences

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Archives of Control Sciences | 2023 | vol. 33 | No 4

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Abstract

In this work, a new 3-D modified WINDMI chaotic jerk system with exponential and sinusoidal nonlinearities is presented and its dynamical behaviours and properties are investigated. Firstly, some properties of the system are studied such as equilibrium points and their stability, Lyapunov exponents and Kaplan-Yorke dimension. Also, we study the new jerk system dynamics using numerical simulations and analyses, including phase portraits, Lyapunouv exponent spectrum, bifurcation diagram and Poincaré map, 0-1 test. Next, we exhibit that the new 3-D chaotic modified WINDMI jerk system has multistability with coexisting chaotic attractors. Moreover, we design an electronic circuit using MultiSim 14.1 for real implementation of the modified WINDMI chaotic jerk system. Finally, we design an active synchronization scheme for the complete synchronization of the modified WINDMI chaotic jerk systems via backstepping control.
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Authors and Affiliations

Mohamad Afendee Mohamed
1
Sundarapandian Vaidyanathan
2 3
Fareh Hannachi
4
Aceng Sambas
1
P. Darwin
5

  1. Faculty of Information and Computing,Universiti Sultan Zainal Abidin, Terengganu, Malaysia
  2. Centre for ControlSystems, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-600062 Tamil Nadu, India
  3. Faculty of Information and Computing, Universiti Sultan Zainal Abidin Terengganu, Malaysia
  4. Larbi Tebessi University – Tebessi routede constantine, 12022, Tebessa, Algeria
  5. Department of Computer Science and EngineeringRajalakshmi Institute of Technology, Kuthambakkam, Chennai-600 124, Tamil Nadu, India
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Abstract

This article concerns the use of an integrated RFID system with a mobile robot for the navigation and mapping of closed spaces. The architecture of a prototype mobile robot equipped with a set of RFID readers that performs the mapping functions is described. Laboratory tests of the robot have been carried out using a test stand equipped with a grid of appropriately programmed RFID transponders. A simulation model of the effectiveness of transponder reading by the robot has been prepared. The conclusions from measurements and tests are discussed, and methods for improving the solution are proposed.
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Authors and Affiliations

Bartosz Pawłowicz
1
ORCID: ORCID
Mariusz Skoczylas
1
ORCID: ORCID
Bartosz Trybus
2
ORCID: ORCID
Mateusz Salach
3
ORCID: ORCID
Marcin Hubacz
2
ORCID: ORCID
Damian Mazur
4
ORCID: ORCID

  1. Departmentof Electronic and Telecommunications Systems, Rzeszów University of Technology, WincentegoPola 2, 35-959 Rzeszow, Poland
  2. Department of Computer and ControlEngineering, Rzeszow University of Technology, Wincentego Pola 2, 35-959 Rzeszow, Poland
  3. Department of Complex Systems, Rzeszow Universityof Technology, Wincentego Pola 2, 35-959 Rzeszow, Poland
  4. Department of Electrical andComputer Engineering Fundamentals, Rzeszow University of Technology, Wincentego Pola 2, 35-959Rzeszow, Poland
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Abstract

In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory. Then, based on the obtained results, we study the ℎ-stability of perturbed and cascaded systems. Finally, an example illustrates the proposed theorems
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Authors and Affiliations

Sihem Boukthir
1 2
ORCID: ORCID
Boulbaba Ghanmi
3
ORCID: ORCID
Imed Basdouri
3
ORCID: ORCID
Dalil Ichalal
4
ORCID: ORCID
Jean Lerbet
5

  1. Department of Mathematics, Faculty of Sciencesof Sfax, Route Soukra Km 4, BP 802, 3018, Sfax, Tunisia
  2. The IBISC laboratory, University ofEvry Val d’Essonne, University of Paris Saclay University, 40, rue de Pelvoux, 91020, Evry Courcouronnes,France
  3. Department of Mathematics, Faculty of Sciences of Gafsa, Sidi AhmedZarroug, 2112, Gafsa, Tunisia
  4. The IBISC laboratory, University of Evry Vald’Essonne, University of Paris Saclay University, 40, rue de Pelvoux, 91020, Evry Courcouronnes, France
  5. The LaMME laboratory, UMR CNRS 8071, Universityof Evry Val d’Essonne, University of Paris Saclay, 23 Bd de France, 91037, Evry CEDEX, France
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Abstract

The asymptotic stability of the convex linear combination of continuous-time and discretetime linear systems is considered. Using the Gershgorin theorem it is shown that the convex linear combination of the linear asymptotically stable continuous-time and discretetime linear systems is also asymptotically stable. It is shown that the above thesis is also valid (even simpler) for positive linear systems.
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Authors and Affiliations

Tadeusz Kaczorek
1
ORCID: ORCID

  1. Bialystok University of Technology, Faculty ofElectrical Engineering, Wiejska 45D, 15-351 Białystok, Poland
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Abstract

This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: s α L α and 1/s α C α, (0 α 1) were obtained using the Laplace transform based on the expansion of the factor sign to an infinite fraction with varying degrees of accuracy – the continued fraction expansion method (CFE). Then circuit synthesis methods were applied. As a result, equivalent circuit diagrams of fractional order elements were obtained. The obtained equivalent schemes consist both of classical RLC elements, as well as active elements built based on operational amplifiers. Numerical experiments were conducted for the constructed models, presenting responses to selected input signals.
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Authors and Affiliations

Sebastian Różowicz
1
ORCID: ORCID
Maciej Włodarczyk
1
ORCID: ORCID
Andrzej Zawadzki
1
ORCID: ORCID

  1. Kielce Universityof Technology, Department of Industrial Electrical Engineering and Automatic Control, TysiacleciaPanstwa Polskiego 7, 25-314 Kielce, Poland
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Abstract

A boundary value problem for a non-linear difference equation of order three is considered. We show that this equation can be interpreted as the equation satisfied by the value function in a stochastic optimal control problem. We thus obtain an expression for the solution of the non-linear difference equation that can be used to find an explicit solution to this equation. An example is presented.
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Authors and Affiliations

Mario Lefebvre
1

  1. Department of Mathematics and Industrial Engineering,Polytechnique Montréal, C.P. 6079, Succursale Centreville, Montréal, Canada H3C 3A7, Canada
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Abstract

Disturbance rejection performance optimization with constraints on robustness for a multivariable process is commonly encountered in industrial control applications. This paper presents the tuning of a multi-loop Proportional Integral (PI) controller method to enhance the performance of load disturbance rejection using evolutionary optimization. The proposed design methodology is formulated to minimize the load disturbance rejection response and the input control energy under the constraints of robust stability. The minimum singular value of multiplicative uncertainty is considered a multi-loop system robust stability indicator. Optimization is performed to achieve the same, or higher level than the most-explored Direct Synthesis (DS) based multi-loop PI controller, which is derived from a conventional criterion. Simulation analysis clearly proved that the proposed multi-loop PI controller tuning method gives better disturbance rejection, and either, the same or a higher level of robust stability when compared to the DS-based multi-loop PI controller.
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Authors and Affiliations

R. Arun
1
ORCID: ORCID
R. Muniraj
2
ORCID: ORCID
S.R. Boselin Prabhu
3
ORCID: ORCID
T. Jarin
4
ORCID: ORCID
M. Willjuice Iruthayarajan
5
ORCID: ORCID

  1. Department of Electrical and Electronics Engineering, SriSivasubramaniya Nadar College of Engineering, Chennai, India
  2. Department of Electrical and Electronics Engineering, P.S.R Engineering College, Sivakasi, India
  3. Department ofElectronics and Communication Engineering, Surya Engineering College, India
  4. Department of Electrical and Electronics Engineering, Jyothi Engineering College, Thrissur, India
  5. Department of Electrical andElectronics Engineering, National Engineering College, Kovilpatti, India
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Abstract

The current task explores automatic generation control knowledge under old-style circumstances for a triple-arena scheme. Sources in area-1 are thermal-solar thermal (ST); thermalgeothermal power plant (GPP) in area-2 and thermal-hydro in area-3. An original endeavour has been set out to execute a new performance index named hybrid peak area integral squared error (HPA-ISE) and two-stage controller with amalgamation of proportional-integral and fractional order proportional-derivative, hence named as PI(FOPD). The performance of PI(FOPD) has been compared with varied controllers like proportional-integral (PI), proportional-integralderivative (PID). Various investigation express excellency of PI(FOPD) controller over other controller from outlook regarding lessened level of peak anomalies and time duration for settling. Thus, PI(FOPD) controller’s excellent performance is stated when comparison is undergone for a three-area basic thermal system. The above said controller’s gains and related parameters are developed by the aid of Artificial Rabbit Optimization (ARO). Also, studies with HPA-ISE enhances system dynamics over ISE. Moreover, a study on various area capacity ratios (ACR) suggests that high ACR shows better dynamics. The basic thermal system is united with renewable sources ST in area-1 also GPP in area-2. Also, hydro unit is installed in area-3. The performance of this new combination of system is compared with the basic thermal system using PI(FOPD) controller. It is detected that dynamic presentation of new system is improved. Action in existence of redox flow battery is also examined which provides with noteworthy outcome. PI(FOPD) parameters values at nominal condition are appropriate for higher value of disturbance without need for optimization.
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Authors and Affiliations

Arindita Saha
1
Tirumalasetty Chiranjeevi
2
Ramesh Devarapalli
3
ORCID: ORCID
Naladi Ram Babu
4
Puja Dash
5
Fausto Pedro Garcìa Màrquez
6

  1. Department of Electrical Engineering, RegentEducation & Research Foundation Group of Institutions, Kolkata, West Bengal, India
  2. Department of ElectricalEngineering, Rajkiya Engineering College Sonbhadra, U.P., India
  3. Institute of Chemical Technology, IndianOil Odisha Campus, Bhubaneswar, India
  4. Department of Electrical & Electronics Engineering,Aditya Engineering College, Surampalem, Andhra Pradesh, India
  5. Department of Electrical and Electronics Engineering,Gayatri Vidya Parishad College of Engineering (Autonomous), Visakhapatnam, Andhra Pradesh,India
  6. Ingenium ResearchGroup, University of Castilla-La Mancha, Spain

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