Fault Detection and Controller Co-Design for Nonlinear Delayed Switched Systems Based on Mode-Dependent Average Dwell Time Under Asynchronous Switching

Yuenan Wang,Yulian Jiang,Changbei Zhao,Wenchengyu Ji,Shenquan Wang

doi:10.1109/access.2021.3074657

Abstract

In this paper, the fault detection (FD) and controller co-design problem is investigated for continuous-time nonlinear delayed switched systems based on mode-dependent average dwell time (MDADT) under asynchronous switching. Different from the average dwell time (ADT) method, the adopted MDADT switching law in which each subsystem has its own ADT, is more suitable for practical applications. Meanwhile, a closed-loop control strategy including both the controller and the fault detection filter, are designed simultaneously by using piecewise Lyapunov-Krasovskii function (LKF), MDADT method and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_\infty }$ </tex-math></inline-formula> control technique. Furthermore, both the Wirtinger integral inequality and an advanced reciprocal convex combination method are utilized to provide a tighter estimation on continuous derivative of certain LKF, leading to a less conservative result, and the solution of the parameters for the controller and fault detection filter (FDF) is characterized in the feasibility of LMI problem. Finally, a practical designed solution on the highly maneuverable aircraft technology indicates the proposed technique is valid and superior.

Highlights

Nowadays, modern industry has raised higher requirements for the reliability and safety for system components with the increasing complexity of control systems
In our main work, fault detection (FD) and controller co-design strategy is proposed for continuous-time nonlinear delayed switched systems, in which the controller and fault detection filter (FDF) are designed simultaneously based on mode-dependent average dwell time (MDADT) method under asynchronous switching
This paper has studied the FD and controller co-design problem for continuous-time nonlinear delayed switched systems based on MDADT under asynchronous switching

Summary

INTRODUCTION

Modern industry has raised higher requirements for the reliability and safety for system components with the increasing complexity of control systems. In our main work, FD and controller co-design strategy is proposed for continuous-time nonlinear delayed switched systems, in which the controller and FDF are designed simultaneously based on MDADT method under asynchronous switching. Compared with the existing results, the main contributions and unique features of proposed method are as follows: (a) Different from the existing open-loop FD method without considering the control effect in [6], a closed-loop FD strategy is presented to design the controller gain and FDF parameters simultaneously in this work. This greatly improves the freedom degree and FD performance in the controller design. This greatly improves the freedom degree and FD performance in the controller design. (b) Different from the ADT method in [24], [25], the adopted MDADT switching scheme in which each subsystem has its own ADT is less conservative and more suitable for practical applications. (c) An improved reciprocal convex is applied to obtain the less conservative stability conditions for the obtained error dynamic system

PROBLEM FORMULATION AND PRELIMINARIES

MAIN RESULTS Theorem 1

NUMERICAL SIMULATION

CONCLUSION