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Decentralized robust H output feedback control for value bounded uncertain large-scale interconnected systems

  • Yong-Fang Xie
  • Wei-Hua Gui
  • Zhao-Hui Jiang
  • Can Huang
Regular Papers Control Theory

Abstract

In this paper, decentralized robust H output feedback control problem for large-scale interconnected system with value bounded uncertainties in the state, control input and interconnection matrices is investigated. A new bounded real lemma for the large-scale interconnected systems is derived by Lyapunov stability theory and linear matrix inequality method. Based on the new bounded real lemma, a sufficient condition expressed as matrix inequalities for the existence of a decentralized robust H output feedback controller is obtained. The controller which enables the closed-loop large-scale system robust stable and satisfies the given H performance is designed through a homotopy iterative method. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Keywords

Decentralized robust H control homotopy iterative method non-linear matrix inequality (NLMI) output feedback value bounded uncertainty 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Yong-Fang Xie
    • 1
  • Wei-Hua Gui
    • 1
  • Zhao-Hui Jiang
    • 1
  • Can Huang
    • 1
  1. 1.School of Information Science and EngineeringCentral South UniversityChangshaP. R. China

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