Fault-Tolerant Control for a Class of 1-D Systems with Unknown Input Powers and Measurement Drifts

This article considers a fault-tolerant control problem for a class of 1-D systems with unknown input powers, actuator failure and measurement drifts. Unlike most current systems where the input power is one or known, the unknown input powers is considered in this article. Based on Lyapunov stability theory, two kinds of controllers are designed, which are suitable for the two cases of whether the system has measurement drift or not. Under the control strategy proposed in this article, the closed-loop system is asymptotically bounded, and all the signals in the system converge to a small neighborhood of the origin. Finally, two numerical examples are given to verify the effectiveness of the control strategy.