Design of H∞-based sampled-data control for fuzzy Markov jump systems with stochastic sampling

被引：21
|
作者：
Kavikumar, R. [1 ]
Sakthivel, R. [2 ,3 ]
Liu, Yurong [4 ]
机构：
[1] Anna Univ, Dept Math, Reg Campus, Coimbatore 641046, Tamil Nadu, India
[2] Bharathiar Univ, Dept Appl Math, Coimbatore 641046, Tamil Nadu, India
[3] Sungkyunkwan Univ, Dept Math, Suwon 440746, India
[4] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 41卷
关键词：
Fuzzy Markov jump systems; Sampled-data H-infinity control; Stability analysis; Stochastic sampling; TIME-VARYING DELAYS; STABILITY ANALYSIS; CHAOTIC SYSTEMS; SYNCHRONIZATION; STABILIZATION; SATURATION;
D O I：
10.1016/j.nahs.2021.101041
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper concentrates on analyzing the stability problem for fuzzy Markov jump systems (FMJSs) via stochastic sampling and H-infinity-based sampled-data control scheme. With the help of input-delay technique, the probabilistic sampling intervals are reconstructed into a continuous time-varying system under stochastic parameters in the system matrices. Subsequently, a set of sufficient conditions ensuring the stochastic stability of the addressed FMJS with an allowable H-infinity disturbance attenuation value is formulated in the form of linear matrix inequalities (LMIs) by choosing a proper Lyapunov-Krasovskii functional involving triple integral terms and utilizing Wirtingerbased integral inequality. The desired sampled-data control gain can be determined in terms of the solution to the obtained LMIs. Lastly, the developed theoretical results and the benefits of the desired controllers are verified through numerical examples including a single link robot arm system. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：17
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