Automatic Control for Time Delay Markov Jump Systems under Polytopic Uncertainties

被引:11
作者
Alattas, Khalid A. [1 ]
Mohammadzadeh, Ardashir [2 ]
Mobayen, Saleh [2 ]
Abo-Dief, Hala M. [3 ]
Alanazi, Abdullah K. [3 ]
Vu, Mai The [4 ]
Chang, Arthur [5 ]
机构
[1] Univ Jeddah, Coll Comp Sci & Engn, Dept Comp Sci & Artificial Intelligence, Jeddah 23890, Saudi Arabia
[2] Natl Yunlin Univ Sci & Technol, Future Technol Res Ctr, Touliu 64002, Yunlin, Taiwan
[3] Taif Univ, Fac Sci, Dept Chem, POB 11099, At Taif 21944, Saudi Arabia
[4] Sejong Univ, Sch Intelligent Mech Engn, Seoul 05006, South Korea
[5] Natl Yunlin Univ Sci & Technol, Bachelor Program Interdisciplinary Studies, Touliu 64002, Yunlin, Taiwan
关键词
control; mathematical algorithm; control systems; polytopic uncertainties; LMI set; time delay; markov jump systems; stability; robust control; NASH EQUILIBRIUM; FEEDBACK-CONTROL; STABILIZATION; STABILITY;
D O I
10.3390/math10020187
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
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页数:18
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