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Volume 2 Issue 4
Oct.  2015

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2015  >  2(4): 358-365
Naizhou Wang, Hailong Pei and Yong Tang, "Anti-windup-based Dynamic Controller Synthesis for Lipschitz Systems under Actuator Saturation," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 358-365, 2015.
Citation: Naizhou Wang, Hailong Pei and Yong Tang, "Anti-windup-based Dynamic Controller Synthesis for Lipschitz Systems under Actuator Saturation," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 358-365, 2015.
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Anti-windup-based Dynamic Controller Synthesis for Lipschitz Systems under Actuator Saturation

  • 1. the Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, South China University of Technology, Guangzhou 510640, China, and Key Laboratory of Surface Functional Structure Manufacturing of Guangdong Higher Education Institutes, School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510640, China;

  • 2. the Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, South China University of Technology, Guangzhou 510640, China;

  • 3. the Key Laboratory of Surface Functional Structure Manufacturing of Guangdong Higher Education Institutes, School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510640, China

Funds:

This work was supported by National Natural Science Foundation of China (61174053), National Key Basic Research Program of China (2014CB845301/2/3), Fundamental Research Funds for the Central Universities (2014ZP0021), Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China (708069), partially by Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, and Key Laboratory of Surface Functional Structure Manufacturing of Guangdong Higher Education Institutes.

    Abstract
  • 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.

     

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