Robust Exponential H ∞ Fault Tolerant Control for Sampled-Data Control Systems With Actuator Failure: A Switched System Method

Linlin Hou,Kaibo Shi,Haibin Sun,Yao Li,Wende Luo

doi:10.1109/access.2021.3115138

Abstract

In this paper, the robust exponential $H_{\infty }$ fault tolerant control problem is investigated, which is concerned with uncertainties, disturbances and actuator failures. Determined by whether the actuator fails or not, the continuous-time system is remodeled as a switched system. Then a sampled-data controller is designed. Through Lyapunov functional theory and the admissible edge-dependent average dwell time method, some sufficient conditions are derived to ensure that the closed-loop system is robustly exponentially stable with exponential $H_{\infty }$ performance. The corresponding controller gains can also be obtained via linear matrix inequalities (LMIs). Finally, two examples are presented to verify the validity of the relevant results.

Highlights

I N practice, the computer acts as a digital controller to implement the control function of continuous-time systems
In [3], the sampled-data control system is transmitted to a time-varying delay system, and VOLUME 4, 2016 sampled-data stabilization of systems with polytopic type uncertainties and regional stabilization by sampled-data saturated state-feedback are presented, respectively
On the basis of the above analysis, this study presents the robust exponential H∞ fault tolerant control (FTC) problem for sampled-data control systems (SDCSs) with uncertainties, disturbances and actuator failures

Summary

INTRODUCTION

I N practice, the computer acts as a digital controller to implement the control function of continuous-time systems. In the past few decades, switched systems have received widespread attention because they are successfully applied in many fields, such as network control systems [10], stirred tank reactors [11], power electronics [12], etc Those studies have shown that the design of switching signal is critical to stability analysis and control synthesis [13]–[23]. Due to the high bandwidth requirements of continuous-time controllers, it is worthwhile to study the problem of sampled-data control with actuator failures for saving communication resource. On the basis of the above analysis, this study presents the robust exponential H∞ FTC problem for sampled-data control systems (SDCSs) with uncertainties, disturbances and actuator failures. Two examples are presented to verify the validity of the relevant results

PROBLEM FORMULATION

ΩT M Ω ι1

NUMERICAL EXAMPLES

CONCLUSIONS