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

来源 :IEEE/CAA Journal of Automatica Sinica | 被引量 : 0次 | 上传用户:cyanh77
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This paper presents a new method for simultaneous synthesis of dynamic controller and static anti-windup compensator 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. This paper presents a new method for simultaneous synthesis of dynamic controllers and static anti-windup compensator 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 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.
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