Automatic Control for Time Delay Markov Jump Systems under Polytopic Uncertainties

Khalid A. Alattas, Ardashir Mohammadzadeh, Saleh Mobayen, Hala M. Abo-Dief, Abdullah K. Alanazi, Mai The Vu and Arthur Chang
Additional contact information
Khalid A. Alattas: Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23890, Saudi Arabia
Ardashir Mohammadzadeh: Independent Researcher, Baku AZ1000, Azerbaijan
Saleh Mobayen: Future Technology Research Center, National Yunlin University of Science and Technology, Douliu 64002, Taiwan
Hala M. Abo-Dief: Department of Chemistry, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Abdullah K. Alanazi: Department of Chemistry, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Mai The Vu: School of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, Korea
Arthur Chang: Bachelor Program in Interdisciplinary Studies, National Yunlin University of Science and Technology, Yunlin 64002, Taiwan

Mathematics, 2022, vol. 10, issue 2, 1-18

Abstract: The Markov jump systems (MJSs) are a special case of parametric switching system. However, we know that time delay inevitably exists in many practical systems, and is known as the main source of efficiency reduction, and even instability. In this paper, the stochastic stable control design is discussed for time delay MJSs. In this regard, first, the problem of modeling of MJSs and their stability analysis using Lyapunov-Krasovsky functions is studied. Then, a state-feedback controller (SFC) is designed and its stability is proved on the basis of the Lyapunov theorem and linear matrix inequalities (LMIs), in the presence of polytopic uncertainties and time delays. Finally, by various simulations, the accuracy and efficiency of the proposed methods for robust stabilization of MJSs are demonstrated.

Keywords: control; mathematical algorithm; control systems; polytopic uncertainties; LMI set; time delay; markov jump systems; stability; robust control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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