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Archives of Control Sciences

Archives of Control Sciences

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Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.

Aims and Scope: Archives of Control Sciences publishes papers in the broadly understood field of control science and related areas while promoting the closer integration of the Polish, as well as other Central and East European scientific communities with the international world of science.

IMPACT FACTOR 2022: 1.2

CiteScore 2022: 2.7

SCImago Journal Rank (SJR) 2022: 0.304

Source Normalized Impact per Paper (SNIP) 2021: 0.570

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ISSN 1230-2384
Publishers
Committee of Automatic Control and Robotics PAS

Editor-in-Chief prof. dr hab. inż. Andrzej Świerniak

Deputy/ Managing Editor
Zbigniew Ogonowski, Silesian University of Technology, Gliwice, Poland

Editorial Advisory Board
Sebastian Anita, University Alexandru Ioan Cuza, Romania
Roman Barták, Charles University, Prague, Czech Republic
Andrzej Bartoszewicz, Lodz University of Technology, Poland
Jacek Błażewicz, Poznań University of Technology, Poland
Adam Czornik, Silesian University of Technology, Poland
Reggie Davidrajuh, University of Stavanger, Norway
Moritz Diehl, University of Freiburg, Germany
Marcelo D.Fragoso, LNCC/MCT, Rio de Janeiro, Brasil
Avner Friedman, MBI Ohio State University, Columbus, USA
Mats Gyllenberg, University of Helsinki, Finland
Wassim M. Haddad, Georigia University, Atlanta, USA
Alberto Isidori, Università di Roma "La Sapienza" Italia
Asatur Zh. Khurshudyan, NAS of Armenia, Armenia
Marek Kimmel, Rice University Houston, USA
Jerzy Klamka, Institute of Theoretical and Applied Informatics PAS, Poland
Józef Korbicz, University of Zielona Góra, Poland
Piotr Kulczycki, Institute of System Research PAS, Poland
Irena Lasiecka, University of Virginia, USA
Urszula Ledzewicz, Southern Illinois University at Edwardsville, USA
Magdi S. Mahmoud, KFUM, Dahram, Saudi Arabia
Evgenii K. Makarov, NAS of Belarus, Belarus
Krzysztof Malinowski, Warsaw University of Technology, Poland
Wojciech Mitkowski, AGH University of Science and Technology, Poland
Francisco Javier Muros, University of Seville, Spain
Bozenna Pasik-Duncan, University of Kansas, Lawrence, USA
Marek Pawełczyk, Silesian University of Technology, Poland
Ian Postlethwaite, Newcastle University, Newcastle, UK
Witold Respondek, Institut National des Sciences Appliquées de Rouen, France
Eric Rogers, University of Southampton, UK
Heinz Schaettler, Washington University, St Louis, USA
Ryszard Tadeusiewicz, AGH University of Science and Technology, Poland
Jan Węglarz, Poznań University of Technology, Poland
Liu Yungang, Shandong University, PRC
Valery D. Yurkevich, Novosibirsk State Technical University, Russia

Institute of Automatic Control
Silesian University of Technology
Akademicka 16
44-101 Gliwice, Poland

acs@polsl.pl
http://acs.polsl.pl/

 

 

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Archives of Control Sciences | 2021 | vol. 31 | No 2

1 Sliding mode observers for fault identification in linear systems not satisfying matching and minimum phase conditions
Alexey Zhirabok , Alexander Zuev , Vladimir Filaretov , Alexey Shumsky
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 253-266 | DOI: 10.24425/acs.2021.137417
Keywords: linear systems faults identification disturbances sliding mode observers
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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
2 Output tracking control of an aircraft subject to additive state dependent disturbance: an optimal control approach
Ilker Tanyer , Enver Tatlicioglu , Erkan Zergeroglu
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 267-286 | DOI: 10.24425/acs.2021.137418
Keywords: optimal control aerospace applications nonlinear systems mechanical/mechatronics applications robust control
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Abstract

In this paper, model reference output feedback tracking control of an aircraft subject to additive, uncertain, nonlinear disturbances is considered. In order to present the design steps in a clear fashion: first, the aircraft dynamics is temporarily assumed as known with all the states of the system available. Then a feedback linearizing controller minimizing a performance index while only requiring the output measurements of the system is proposed. As the aircraft dynamics is uncertain and only the output is available, the proposed controller makes use of a novel uncertainty estimator. The stability of the closed loop system and global asymptotic tracking of the proposed method are ensured via Lyapunov based arguments, asymptotic convergence of the controller to an optimal controller is also established. Numerical simulations are presented in order to demonstrate the feasibility and performance of the proposed control strategy.
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Authors and Affiliations

Ilker Tanyer
1
Enver Tatlicioglu
2
Erkan Zergeroglu
3
  1. Gezgini Inc., Folkart Towers, BBuilding, Floor: 36, Office: 3608, Izmir, 35580, Turkey
  2. Department of Electrical and Electronics Engineering, Ege University, Izmir, 35100, Turkey
  3. Department of Computer Engineering, Gebze Technical University, Kocaeli, 41400, Turkey
3 Fractional discrete-continuous model of heat transfer process
Krzysztof Oprzędkiewicz , Klaudia Dziedzic
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 287-306 | DOI: 10.24425/acs.2021.137419
Keywords: non integer order systems heat transfer equation finite difference Caputo operator positive systems
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Abstract

The paper proposes a new, state space, finite dimensional, fractional order model of a heat transfer in one dimensional body. The time derivative is described by Caputo operator. The second order central difference describes the derivative along the length. The analytical formulae of the model responses are proved. The stability, convergence, and positivity of the model are also discussed. Theoretical results are verified by experiments.
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Authors and Affiliations

Krzysztof Oprzędkiewicz
1
ORCID: ORCID
Klaudia Dziedzic
1
  1. AGH University of Science and Technology in Krakow, Faculty of Electrical Engineering, Automatics, Computer Science and Robotics, Department of Automatics and Biomedical Engineering, Kraków, Poland
4 The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization
Saule Sh. Kazhikenova
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 307-332 | DOI: 10.24425/acs.2021.137420
Keywords: Navier–Stokes equations hydrodynamic approximations mathematical models incompressible melt
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Abstract

The article presents "-approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution. It was proved by a theorem on the existence of uniqueness of the hydrodynamics equations’ temperature model’s solution, taking into account energy dissipation. There was implemented the Galerkin method to study the Navier–Stokes equations, which provides the study of the boundary value problems correctness for an incompressible viscous flow both numerically and analytically. Approximations of stationary and non-stationary models of the hydrodynamics equations were constructed by a system of Cauchy–Kovalevsky equations with a small parameter ". There was developed an algorithm for numerical modelling of the Navier– Stokes equations by the finite difference method.
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Authors and Affiliations

Saule Sh. Kazhikenova
1
ORCID: ORCID
  1. Head of the Department of Higher Mathematics, Karaganda Technical University, Kazakhstan
5 Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law
Adel Ouannas , Fatiha Mesdoui , Shaher Momani , Iqbal Batiha , Giuseppe Grassi
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 333-345 | DOI: 10.24425/acs.2021.137421
Keywords: FitzHugh-Nagumo synchronization uni-dimensional control linear control reaction-diffusion system neuronal networks Lyapunov’s second method
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Abstract

The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the function of the so-called membrane potential, exhibits various formations in neuronal networks and rich complex dynamics. This work deals with the problem of control and synchronization of the FN reaction-diffusion model. The proposed control law in this study is designed to be uni-dimensional and linear law for the purpose of reducing the cost of implementation. In order to analytically prove this assertion, Lyapunov’s second method is utilized and illustrated numerically in one- and/or two-spatial dimensions.
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Authors and Affiliations

Adel Ouannas
1
Fatiha Mesdoui
2
Shaher Momani
2 3
Iqbal Batiha
4 3
Giuseppe Grassi
5
  1. Laboratory of Dynamical Systems and Control, University of Larbi Ben M’hidi, Oum El Bouaghi 04000, Algeria
  2. Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
  3. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
  4. Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jordan
  5. Dipartimento Ingegneria Innovazione, Universitadel Salento, 73100 Lecce, Italy
6 An improvement of Gamma approximation for reduction of continuous interval systems
Jagadish Kumar Bokam , Vinay Pratap Singh , Ramesh Devarapalli , Fausto Pedro García Márquez
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 347-373 | DOI: 10.24425/acs.2021.137422
Keywords: continuous interval systems Kharitonov polynomials Routh approximation modelling SISO systems MIMO systems
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Abstract

In recent, modeling practical systems as interval systems is gaining more attention of control researchers due to various advantages of interval systems. This research work presents a new approach for reducing the high-order continuous interval system (HOCIS) utilizing improved Gamma approximation. The denominator polynomial of reduced-order continuous interval model (ROCIM) is obtained using modified Routh table, while the numerator polynomial is derived using Gamma parameters. The distinctive features of this approach are: (i) It always generates a stable model for stable HOCIS in contrast to other recent existing techniques; (ii) It always produces interval models for interval systems in contrast to other relevant methods, and, (iii) The proposed technique can be applied to any system in opposite to some existing techniques which are applicable to second-order and third-order systems only. The accuracy and effectiveness of the proposed method are demonstrated by considering test cases of single-inputsingle- output (SISO) and multi-input-multi-output (MIMO) continuous interval systems. The robust stability analysis for ROCIM is also presented to support the effectiveness of proposed technique.
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Authors and Affiliations

Jagadish Kumar Bokam
1
Vinay Pratap Singh
2
Ramesh Devarapalli
3
ORCID: ORCID
Fausto Pedro García Márquez
4
ORCID: ORCID
  1. Department of Electrical Electronics and Communication Engineering, Gandhi Institute of Technology and Management (Deemed to be University), Visakhapatnam, 530045, Andhra Pradesh, India
  2. Department of Electrical Engineering, Malaviya National Institute of Technology Jaipur, India
  3. Department of Electrical Engineering, BITSindri, Dhanbad, Jharkhand
  4. Ingenium Research Group, University of Castilla-La Mancha, Spain
7 On transformation of conditional, conformant and parallel planning to linear programming
Adam Galuszka , Eryka Probierz
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 375-399 | DOI: 10.24425/acs.2021.137423
Keywords: planning conformant planning conditional planning parallel planning uncertainty linear programming computational complexity
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Abstract

Classical planning in Artificial Intelligence is a computationally expensive problem of finding a sequence of actions that transforms a given initial state of the problem to a desired goal situation. Lack of information about the initial state leads to conditional and conformant planning that is more difficult than classical one. A parallel plan is the plan in which some actions can be executed in parallel, usually leading to decrease of the plan execution time but increase of the difficulty of finding the plan. This paper is focused on three planning problems which are computationally difficult: conditional, conformant and parallel conformant. To avoid these difficulties a set of transformations to Linear Programming Problem (LPP), illustrated by examples, is proposed. The results show that solving LPP corresponding to the planning problem can be computationally easier than solving the planning problem by exploring the problem state space. The cost is that not always the LPP solution can be interpreted directly as a plan.
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Authors and Affiliations

Adam Galuszka
1
Eryka Probierz
1
  1. Department of Automatic Control and Robotics, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland
8 Mittag-Leffler stability analysis of a class of homogeneous fractional systems
Tarek Fajraoui , Boulbaba Ghanmi , Fehmi Mabrouk , Faouzi Omri
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 401-415 | DOI: 10.24425/acs.2021.137424
Keywords: homogeneous fractional systems Lyapunov homogeneous function Mittag-Leffler stability
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Abstract

In this paper,we start by the research of the existence of Lyapunov homogeneous function for a class of homogeneous fractional Systems, then we shall prove that local and global behaviors are the same. The uniform Mittag-Leffler stability of homogeneous fractional time-varying systems is studied. A numerical example is given to illustrate the efficiency of the obtained results.
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Authors and Affiliations

Tarek Fajraoui
1
Boulbaba Ghanmi
1
ORCID: ORCID
Fehmi Mabrouk
1
Faouzi Omri
1
  1. University of Gafsa, Tunisia, Faculty of Sciences of Gafsa, Department of Mathematics, University campus Sidi Ahmed Zarroug 2112 Gafsa, Tunisia
9 Heating control of a finite rod with a mobile source
Samvel H. Jilavyan , Edmon R. Grigoryan , Asatur Zh. Khurshudyan
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 417-430 | DOI: 10.24425/acs.2021.137425
Keywords: null-controllability mobile control nonlinear constraints triangular wave rectangular wave Green’s function approach heuristic control lack of exact controllability
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Abstract

The Green’s function approach is applied for studying the exact and approximate nullcontrollability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory. The intensity of the source remains constant. Applying the recently developed Green’s function approach, the analysis of the exact null-controllability is reduced to an infinite system of nonlinear constraints with respect to the control function. A sufficient condition for the approximate null-controllability of the rod is obtained. Since the exact solution of the system of constraints is a long-standing open problem, some heuristic solutions are used instead. The efficiency of these solutions is shown on particular cases of approximate controllability.
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Authors and Affiliations

Samvel H. Jilavyan
1
Edmon R. Grigoryan
1
Asatur Zh. Khurshudyan
2
  1. Faculty of Mathematics and Mechanics, Yerevan State University, 1 Alex Manoogian, 0025 Yerevan, Armenia
  2. Dynamicsof Deformable Systems and Coupled Fields, Institute of Mechanics, National Academy of Sciences of Armenia, 0019 Yerevan, Armenia
10 Power-aware scheduling of data-flow hardware circuits with symbolic control
Mete Özbaltan , Nicolas Berthier
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 431-446 | DOI: 10.24425/acs.2021.137426
Keywords: symbolic discrete controller synthesis digital synchronous circuits power efficiency
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Abstract

We devise a tool-supported framework for achieving power-efficiency of data-flowhardware circuits. Our approach relies on formal control techniques, where the goal is to compute a strategy that can be used to drive a given model so that it satisfies a set of control objectives. More specifically, we give an algorithm that derives abstract behavioral models directly in a symbolic form from original designs described at Register-transfer Level using a Hardware Description Language, and for formulating suitable scheduling constraints and power-efficiency objectives. We show how a resulting strategy can be translated into a piece of synchronous circuit that, when paired with the original design, ensures the aforementioned objectives. We illustrate and validate our approach experimentally using various hardware designs and objectives.
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Authors and Affiliations

Mete Özbaltan
1
Nicolas Berthier
2
  1. Erzurum Technical University, Erzurum, Turkey
  2. University of Liverpool, Liverpool, England
11 Unified design method of time delayed PI controller for first order plus dead-time process models with different dead-time to time constant ratio
Arun R. Pathiran , R. Muniraj , M. Willjuice Iruthayarajan , S.R. Boselin Prabhu , T. Jarin
Archives of Control Sciences | 2021 | vol. 31 | No 2 | 447-476 | DOI: 10.24425/acs.2021.137427
Keywords: PI controller time delayed PI controller dead-time compensation
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Abstract

The time delay element present in the PI controller brings dead-time compensation capability and shows improved performance for dead-time processes. However, design of robust time delayed PI controller needs much responsiveness for uncertainty in dead-time processes. Hence in this paper, robustness of time delayed PI controller has been analyzed for First Order plus Dead-Time (FOPDT) process model. The process having dead-time greater than three times of time constant is very sensitive to dead-time variation. A first order filter is introduced to ensure robustness. Furthermore, integral time constant of time delayed PI controller is modified to attain better regulatory performance for the lag-dominant processes. The FOPDT process models are classified into dead-time/lag dominated on the basis of dead-time to time constant ratio. A unified tuning method is developed for processes with a number of dead-time to time constant ratio. Several simulation examples and experimental evaluation are exhibited to show the efficiency of the proposed unified tuning technique. The applicability to the process models other than FOPDT such as high-order, integrating, right half plane zero systems are also demonstrated via simulation examples.
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Authors and Affiliations

Arun R. Pathiran
1
R. Muniraj
2
ORCID: ORCID
M. Willjuice Iruthayarajan
3
ORCID: ORCID
S.R. Boselin Prabhu
4
T. Jarin
5
ORCID: ORCID
  1. Department of Electrical and Electronics Technology, Ethiopian Technical University, Addis Ababa, Ethiopia
  2. Department of Electrical and Electronics Engineering, P.S.R. Engineering College, Sivakasi, Virudhunagar District, Tamilnadu, India
  3. Department of Electrical and Electronics Engineering, National Engineering College, Kovilpatti, India
  4. Department of Electronics and Communication Engineering, Surya Engineering College, Mettukadai, India
  5. Department of Electrical and Electronics Engineering, Jyothi Engineering College, Thrissur, India

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