Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation

Xingyue Liang,Guoliang Chen,Hao Shen,Jianwei Xia,Zhen Wang

doi:10.1109/access.2019.2957138

Abstract

In this article, the problem of sampled-data control is considered for fuzzy Markovian jump systems (FMJSs) with actuator saturation. Firstly, the mode-dependent lyapunov functional is constructed, which consists of a two-sided closed-loop function. On the basis of this function, stochastically stable criteria are presented in the form of linear matrix inequalities (LMIs). Then, based on the stochastically stable criteria, mode-dependent sampled-data controllers are designed for FMJSs. As a corollary, stable criteria and controller design are also proposed for the general aperiodic sampled-data linear system with actuator saturation. The improved LMI-based optimization conditions are obtained to estimate the region of attraction. Finally, numerical examples are provided to show the significant improvement of the presented method.

Highlights

As an important class of stochastic systems, Markovian jump systems (MJSs) play a very important role in describing different types of systems
In this article, the sampled-data control problem is considered for fuzzy Markovian jump systems (FMJSs) with actuator saturation
By employing the mode-dependent Lyapunov functional including a two-sided closed-loop function, stochastically stable criteria are presented in terms of linear matrix inequalities (LMIs)

Summary

Introduction

As an important class of stochastic systems, Markovian jump systems (MJSs) play a very important role in describing different types of systems. Such as economic systems, engineering systems, communication systems, networked control systems and manufacturing systems [1]–[7]. Takagi-Sugeno (T-S) fuzzy models have attracted wide attention in industry and academia in recent decades [8]–[20]. Based on the Takagi-Sugeno fuzzy model method, the dissipative control problem was analyzed in [21]. The delay-dependent robust stabilization problem was researched about discrete-time FMJSs with time-varying delays in [22]. By using event-triggered strategy and the mode-dependent reliable control, the conditions of stability and controller

Objectives

Methods

Results

Conclusion