Static output feedback control of the linear system with parameter uncertainties

This paper investigates robust static output feedback (SOF) control problem for the linear systems with parameter uncertainties. Based on the structure of the uncertainties, the systems are separated into linear time invariant (LTI) systems and linear parameter varying (LPV) systems. Then, a class of uncertain systems with norm-bounded perturbations is discussed for both LTI systems and LPV systems. Moreover, robust H
_∞
control problem is mentioned as well, which can be reduced to a generalized robust SOF stabilization problem. The proposed approach is applied to active suspension control to illustrate its application at last, and it can be shown that the results in this paper are valid.