Exponential Stability And L 2-Gain Analysis For A Class Of Faulty Systems

This article is concerned with the exponential stability and L2-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 L2-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.