Dynamic output-feedback control for sampled-data system with saturation constraint via discontinuous Lyapunov functional approach

Abstract

This paper is concerned with the stability of sampled-data system with sensor and actuator saturations using discontinuous Lyapunov functional approach. The system measurements are sampled and then transmitted to dynamic output-feedback controller, and a closed-loop system is modeled as an interval time-varying delay control system with nonlinear items. Through constructing discontinuous Lyapunov function and employing linear matrix inequality approach, sufficient conditions for asymptotical stability are derived; further, under the above stability condition, a dynamic output-feedback controller is designed. Lastly, a numerical example is cited to prove the practical utility of the proposed method.