Stabilization of Linear Systems with Time-varying Input Saturation

An Approach Based on Saturation-level-dependent G am-sc heduled Feedback

Abstract

We propose a gain-scheduled feedback control law for locally stabilizing linear systems with input saturation. The saturation level of the input saturation treated in this paper is time varying. The feedback gain of the proposed control law varies depending on the saturation level. The design problem of the control law is reduced to a convex optimization problem with Linear Matrix Inequality (LMI) constraints.