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| DOI： |
| Received:March 28, 2005Revised:October 24, 2006 |
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| Fault-tolerant decentralized H-infinity control for multi-channel systems using homotopy method |
| Ning CHEN,Weihua GUI, Masao IKEDA |
| (School of Information Science & Engineering,
Central South University, Changsha Hunan 410083, China;
Graduate School of Engineering, Osaka University, Suita Osaka 565-0871, Japan) |
| 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 rogressively to zero. The efficiency of the proposed algorithm is
demonstrated by an example. |
| Key words: Decentralized control H-infinity control Fault-tolerant Control BMI Homotopy method |
