Anti-windup-based Dynamic Controller Synthesis for Lipschitz Systems under Actuator Saturation

摘要

This paper presents a new method for simultaneous synthesis of dynamic controller and static anti-windup compen-sator for saturated Lipschitz systems.Thanks to the reformulated Lipschitz property,the Lipschitz systems can be transformed into LPV (linear parameter-varying) systems whose system matrices are affine in a parameter matrix. Based on the modified sector condition dealing with saturation nonlinearity, the design of a nonlinear anti-windup-based controller leads to the solvability of a set of bilinear matrix inequalities (BMI) on the vertices of a bounded convex set which can be solved by the so-called iterative linear matrix inequality(ILMI)algorithm.A numerical example is presented to illustrate the effectiveness of the proposed method.