Static output feedback controller for uncertain systems subject to actuators limitations

Abstract

This paper deals with the static output feedback problem for uncertain systems with restricted controls. Two uncertainty aspects are considered: polytopic and norm-bounded. New robust stability characterizations are firstly obtained, thanks to a system augmentation approach. Then, an iterative cone complementarity LMI algorithm is derived enabling one to design static output feedback maintaining both, linear behavior and robustness of the controlled system. The effectiveness of the proposed design approach is illustrated through examples confirming the merit of the design method.