New LMI Conditions for Static Output Feedback Control of Continuous-Time Linear Systems with Parametric Uncertainties

The design of static output feedback (SOF) is of fundamental importance in control theory. This paper studies the SOF control problem of continuous-time linear systems subject to norm-bounded parametric uncertainties. New simple sufficient linear matrix inequality (LMI) conditions with a line search over a scalar variable for designing robust SOF controllers are proposed.We show that the new design method gives less conservative results than those available in the literature by inserting an equality constraint. Numerical examples are given to show the validity and superiority of our proposed method.