Stability Analysis and Synthesis for 2-D Switched Systems with Random Disturbance

Fei Meng, Xuyu Shen and Xiaofeng Li
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Fei Meng: Department of System Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Xuyu Shen: Department of System Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Xiaofeng Li: Department of Information and Computing Science, Huaiyin Institute of Technology, Huai’an 223001, China

Mathematics, 2022, vol. 10, issue 5, 1-18

Abstract: In this paper, the stability analysis and controller design of two-dimensional (2-D) switched system with random disturbances are studied. First, based on the Fornasini–Marchesini local state space model, a random discrete 2-D switched system model is proposed. Secondly, based on the method of switching quadratic Lyapunov function, Schur complement and linear matrix inequality the criterion of the sufficiency of the asymptotically stable under any switching signal is established. The extended average residence time method is used to obtain a sufficient criterion of the mean square exponential stability of the random discrete 2-D switched system under restricted switching conditions. According to the stability analysis results, the conditions for the existence of the state feedback controller are given and the corresponding state feedback controller is designed. Finally, two examples are given to illustrate the effectiveness of the proposed method.

Keywords: two-dimensional system; switching system; mean square asymptotic stability; stabilization; arbitrary switching; extended mean residence time (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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