Distributed finite-time fault estimation and fault-tolerant control for cyber-physical systems with matched uncertainties

Abstract

This paper is concerned with finite-time distributed fault estimation (DFE) and fault-tolerant control (DFTC) for cyber-physical systems (CPSs) with actuator faults and matched uncertainties. First, in order to deal with the partly unmeasurable states, matched uncertainties and actuator faults with the loss of effectiveness and bias, a distributed fault estimation observer (DFEO) is designed based on the functional observer with an adaptive compensator. Then, a distributed fault-tolerant controller (DFTCr) is designed to compensate faults effect on the interconnected CPSs based on the integral sliding mode control (SMC) technique, which ensures that the closed-loop systems reach a given boundedness in a predefined finite time. Moreover, some sufficient conditions in the form of linear matrix inequalities are proposed to guarantee the finite-time boundedness with H∞ performance (FTB-H∞). Due to introducing more degrees of freedom of the functional observer, the designed finite-time distributed fault-tolerant controller is more flexible and less conservative. Finally, a numerical simulation on the three-machine power systems is acquired to show the validity of the proposed method.