Exponential stability and L 2-gain analysis for a class of faulty systems

Abstract

This article is concerned with the exponential stability and L 2-gain problems for a class of systems with failures. Possible failures of sensors, actuators and/or controllers are considered simultaneously. Inspired by a switching control scheme, we develop an idea that is turning the class of faulty systems into a switched system composed of stable and unstable subsystems. Based on an average dwell‐time method, an activation time ratio scheme between stable and unstable subsystems is derived. It is shown that, under the proposed scheme, the faulty systems ensure exponential stability as well as a desire weighted L 2-gain performance level. A numerical example and a practical simulation example on the flight control system are given to illustrate the practicability of the proposed method.