Optimal Fault-Tolerant Control against Descriptor Time-Varying Systems with Nonlinear Input

Xiaoming Su,Hongyan Shi,Jingyao Wang

doi:10.1155/2018/4631371

Abstract

The problem of optimal fault-tolerant control for a class of descriptor time-varying systems with nonlinear input is considered. Based on the Lyapunov stability theorem, the sufficient conditions of the stability are obtained when the system is normal and ineffective. Furthermore, the fault-tolerant control of the systems is carried out in two cases, and the state feedback fault-tolerant controller is obtained to satisfy the quadratic performance index and reach the minimum value in order to achieve the optimal fault-tolerant control. Finally, the validity of the proposed approach is illuminated by a numerical example.

Highlights

Descriptor systems were first studied in the 1970s and are widely used in control systems, electrical circuits, mechanical systems, economics, and other areas
In the actual control system, according to the input of the system there will be some nonlinear input and the controller design is more complex; it is necessary to solve the problem of the fault-tolerant control against descriptor time-varying systems with nonlinear input
Considering the importance of the systems in real world, in this paper, we investigate the optimal fault-tolerant control against timevarying descriptor systems with nonlinear input; the sufficient conditions are obtained by Lyapunov stability theorem when the system is normal and ineffective

Summary

Introduction

Descriptor systems were first studied in the 1970s and are widely used in control systems, electrical circuits, mechanical systems, economics, and other areas. In the actual control systems, there are usually a series of unforeseen and unavoidable problems, such as the actuator failure and sensor failure in the systems. Focusing on these problems, the systems should have certain fault-tolerant performance to continue to maintain the original operation ability while the actuators or sensors of the systems are under fault. In the actual control system, according to the input of the system there will be some nonlinear input and the controller design is more complex; it is necessary to solve the problem of the fault-tolerant control against descriptor time-varying systems with nonlinear input

Objectives

Results

Conclusion