Abstract
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.
Highlights
As a typical hybrid system, switched systems have attracted much attention in the past decades because many physical systems can use this multimode system for mathematical modeling
One of the bridge of communication between the system and the fuzzy linear system is the T-S fuzzy dynamic model; the system makes the fuzzy system which has been greatly enriched; the research methods of nonlinear systems can be used to study the stability of linear system theory. e research literature [6,7,8,9,10,11,12,13,14] based on this kind of system has a representative, and in real-life problems, a lot has been applied to obtain considerable social and economic benefits
In contrast with the existing results, we study the stochastic switched fuzzy system without levels of the structure. e method provides a kind of different premise variable switching directly
Summary
As a typical hybrid system, switched systems have attracted much attention in the past decades because many physical systems can use this multimode system for mathematical modeling. A novel fuzzy adaptive design is constructed for HFVs in spite of asymmetric time-varying constraints and actuator constraints It can be assured finitetime convergence with the aid of a smooth switch between a fractional and a linear control [15]. Based on the T-S fuzzy systems, Tanaka et al [18,19,20] introduced new switching fuzzy systems for more complicated real systems such as multiple nonlinear systems, switched nonlinear hybrid systems, and second-order nonholomonic systems Such a switching fuzzy system model has two levels of structure, in which the first level is the region rule level and the second level is the local fuzzy rule level. A new model of class of stochastic switched fuzzy timedelay systems is proposed in this paper. We propose a novel switching controller to tackle stochastic switched fuzzy time-delay systems.
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