Event-Triggered Robust Stabilization by Using Fast-Varying Square Wave Dithers

This paper is concerned with event-triggered robust static output-feedback stabilization of the second-order linear uncertain systems by a fast-varying square wave with high gain. Recently, a constructive time-delay approach for designing such a fast-varying output-feedback controller was suggested by using continuous measurements. In the present paper, we employ an event-trigger (ET) based on switching approach that determines the measurement transmission instants for this design. For the resulting switching system, we construct appropriate coordinate transformations that cancel the high gains and apply the time-delay approach to periodic averaging of the system in new coordinates. By employing appropriate Lyapunov functionals, we derive linear matrix inequalities (LMIs) for finding an efficient upper bound on the square wave frequency that guarantees the stability of the original systems. Numerical examples illustrate the efficiency of the method.