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Design of decentralized robust {ie558-1} state feedback controllerstate feedback controller

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Abstract

The design of decentralized robust {ie558-2} state feedback controller for large-scale interconnected systems with value bounded uncertainties existing in the state, control input and interconnected matrices was investigated. Based on the bounded real lemma a sufficient condition for the existence of a decentralized robust {ie558-3} state feedback controller was derived. This condition is expressed as the feasibility problem of a certain nonlinear matrix inequality. The controller, which makes the closed-loop large-scale system robust stable and satisfies the given {ie558-4} performance, is obtained by the offered homotopy iterative linear matrix inequality method. A numerical example is given to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, 410083, Changsha, China

    Xie Yong-fang PhD, Gui Wei-hua, Jiang Zhao-hui & Yang Chun-hua

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  1. Xie Yong-fang PhD
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  2. Gui Wei-hua
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  3. Jiang Zhao-hui
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  4. Yang Chun-hua
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Correspondence to Xie Yong-fang PhD.

Additional information

Foundation item: Project (60474003) supported by the National Natural Science Foundation of China; project (20050533028) supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China

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Xie, Yf., Gui, Wh., Jiang, Zh. et al. Design of decentralized robust {ie558-1} state feedback controllerstate feedback controller. J Cent. South Univ. Technol. 13, 558–562 (2006). https://doi.org/10.1007/s11771-006-0087-4

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  • DOI: https://doi.org/10.1007/s11771-006-0087-4

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