Fault tolerant control for a class of hybrid impulsive systems

This paper investigates the fault tolerant control (FTC) problem for a class of hybrid nonlinear impulsive systems. Two kinds of faults are considered: continuous faults that affect each mode, and discrete faults that affect the impulsive switching. The FTC strategy is based on the tradeoff between the frequency of switching and the decreasing rate of Lyapunov functions along the solution of the system, which maintains the stability of overall hybrid impulsive systems in spite of these two kinds of faults. A numerical example is given to illustrate the design procedure.