Reliable control synthesis for a class of discrete-time nonlinear systems with actuators faults

This paper is concerned with the problem of reliable control synthesis for a class of discrete-time nonlinear systems with actuators faults via the non-parallel distributed compensation (Non-PDC) control law. Sufficient conditions for the existence of reliable fuzzy control laws are proposed in terms of linear matrix inequalities (LMIs), which could guarantee that the closed-loop system is globally asymptotically stable for a set of different operating regions. Moreover, the conservatism is further reduced by using some slack variable techniques. Finally, a numerical example is also given to illustrate the effectiveness of the approaches proposed in this paper.