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Fault-tolerant decentralized H-infinity control for multi-channel systems using homotopy method

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Abstract

This paper considers a fault-tolerant decentralized H-infinity control problem for multi-channel linear time-invariant systems. The purpose is to design a decentralized H-infinity output feedback controller to stabilize the given system and achieve a certain H-infinity performance requirement both in the normal situation and in the situation where any one of the local controllers fails. The designed problem is reduced to a feasibility problem of a set of bilinear matrix inequalities (BMIs). An algorithm is proposed to solve the BMIs. First, the normal situation is considered where all the local controllers are functioning. The local controllers are obtained from a standard centralized H-infinity controller by using a homotopy method imposing a structural constraint progressively. Secondly, the above case is extended to the one where any one of the local controllers fails. We again use a homotopy method where the coefficient matrices of the failed controller are decreased progressively to zero. The efficiency of the proposed algorithm is demonstrated by an example.

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Authors and Affiliations

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

    Ning Chen & Weihua Gui

  2. Graduate School of Engineering, Osaka University, Suita Osaka, 565-0871, Japan

    Masao Ikeda

Authors
  1. Ning Chen
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  2. Weihua Gui
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  3. Masao Ikeda
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Additional information

This work was supported in part by the National Natural Science Foundation of China (No. 60634020) and in part by postdoctoral science foundation of China (20060390883).

Ning CHEN received the B.S. and M.S. degrees in Industrial Electrical Automation from Central South University of Technology in 1992, and 1995, respectively, and Ph.D. degree in Control Theory and Engineering from Central South University in 2002. Her research interests include decentralized control, robust control, and digital signal processing.

Weihua GUI received the M.S. degree in Industrial Automation from Central South Institute of Mining and Metallurgy in 1981. His research interests include decentralized control for large-scale systems, optimal control and process control.

Masao Ikeda received the B.S., M.S. and Ph.D. degrees in Communication Engineering from Osaka University in 1969, 1971, and 1975, respectively. IEEE fellow. His research interests include decentralized control, stabilization of nonlinear and/or time-varying systems, two-degrees-of-freedom servosystems, application of control theory to practical systems, and dynamic mass measurement.

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Chen, N., Gui, W. & Ikeda, M. Fault-tolerant decentralized H-infinity control for multi-channel systems using homotopy method. J. Control Theory Appl. 5, 77–82 (2007). https://doi.org/10.1007/s11768-005-5055-2

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  • DOI: https://doi.org/10.1007/s11768-005-5055-2

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