L∞ PERFORMANCE ANALYSIS/SYNTHESIS FOR CONTINUOUS-TIME CONTROL SYSTEMS WITH ACTUATOR SATURATION UNDER L∞ BOUNDED DISTURBANCE

This paper considers anti-windup control systems and/or linear time invariant continuous-time systems with actuator saturation under persistent disturbances bounded in L∞ norm. Our objective is to design dynamic output feedback controllers and anti-windup ones simultaneously that, in the presence of disturbances, causes closed-loop system trajectories starting from a larger invariant set to converge to a smaller invariant set guaranteed with the L∞ performance. The invariant sets are expressed by a level set of quadratic Lyapunov functions. In synthesis, the effectiveness in the case when their Lyapunov variables are different from the common Lyapunov variable will be point out.