Fault reconstruction and fault tolerant control design for a network of dynamical systems

Abstract

This paper investigates the problems of the fault reconstruction and fault compensation controller design for a network of dynamic systems in which subsystems are interconnected through each subsystem’s outputs. First, under some assumptions, we prove that the minimum phase system condition, the observer matching condition and the controllability can be kept for the overall system. Second, an augmented descriptor system is constructed and we further prove that the minimum phase system condition, the observer matching condition are kept, and then a reduced-order observer is designed for the augmented system to obtain the estimates of the overall system states and the sensor faults simultaneously. Third, an interval observer is designed for the measured output, and based on the interval observer, an asymptotical actuator fault reconstruction method is developed. Finally, an observer-based H infinite and fault compensation scheme is designed and the stability of the closed-loop system is analyzed. We point out that the closed-loop system satisfies the so-called separation property. In the end, a simulation example is given to demonstrate the effectiveness of the proposed methods.