Robust Stability Analysis for Uncertain Switched Discrete-Time Systems | Zendy

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Robust Stability Analysis for Uncertain Switched Discrete-Time Systems

Author(s) -

Yali Dong

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/523020

Subject(s) - discrete time and continuous time , control theory (sociology) , linear matrix inequality , mathematics , stability (learning theory) , class (philosophy) , lyapunov function , matrix (chemical analysis) , block (permutation group theory) , mathematical optimization , computer science , control (management) , nonlinear system , statistics , physics , materials science , geometry , quantum mechanics , artificial intelligence , machine learning , composite material

This paper is concerned with the robust stability for a class of switched discrete-time systems with state parameter uncertainty. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, a novel sufficient condition for robust stability of a class of uncertain switched discrete-time systems is presented. Furthermore, based on the result obtained, the switching law is designed and has been performed well, and some sufficient conditions of robust stability have been derived for the uncertain switched discrete-time systems using the Lyapunov stability theorem, block matrix method and inequality technology. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes

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