Partial-state feedback control of high-order cascade systems with unknown control direction

Abstract

Without a priori knowledge of the signs of control directions, this paper investigates the robust asymptotic regulating problem for a class of high-order non-linear cascade systems with both dynamic and static uncertainties. Under some weaker assumptions, a partial-state feedback controller is proposed which ensures that all the signals of closed-loop system are globally uniformly bounded and all states can be regulated to the origin. The design procedure is illustrated through an example.

Acknowledgments

The research was supported by National Natural Science Foundation of China (60774010, 69934010, 60304003). The authors would like to thank the reviewers for their helpful comments.