Finite-time output feedback preview control for linear parameter-varying systems with input saturation

Abstract

This paper investigates the finite-time preview saturated control problem for linear parameter-varying systems with input saturation. The external disturbances and input saturation, previewable reference signals, and parameter variations are considered simultaneously. First, using the error system method, we construct an augmented error system with previewed information. This transforms the finite-time preview saturated control problem into a finite-time stabilization problem. Next, static output-feedback controllers are used to guarantee the finite-time boundedness of the closed-loop system. Sufficient conditions guarantee the existence of the desired controllers are obtained using linear matrix inequalities. At last, we use a numerical simulation to show the proposed design method’s effectiveness.