Open AccessNovel Robust Control of Stochastic Nonlinear Switched Fuzzy Systems
Author(s) -
Hong Ye,
Yu Zhang,
Le Zhang
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/9743351
Subject(s) - control theory (sociology) , nonlinear system , fuzzy logic , fuzzy control system , stability (learning theory) , class (philosophy) , regular polygon , computer science , control (management) , state (computer science) , convex combination , mathematics , convex optimization , mathematical optimization , algorithm , artificial intelligence , machine learning , physics , geometry , quantum mechanics
This paper addresses the problem of designing novel switching control for a class of stochastic nonlinear switched fuzzy systems with time delay. Firstly, a stochastic nonlinear switched fuzzy system can precisely describe continuous and discrete dynamics as well as their interactions in the complex real-world systems. Next, novel control algorithm and switching law design of the state-dependent form are developed such that the stability is guaranteed. Since convex combination techniques are used to derive the delay independent criteria, some subsystems are allowed to be unstable. Finally, various comparisons of the elaborated examples are conducted to demonstrate the effectiveness of the proposed control design approach. All results illustrate good control performances as desired.