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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.
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. 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. local controllers are obtained from a standard centralized H-infinity controller by using a homotopy method imposing a structural constraint progressively. Secondarily, the above case is extended to the one where any one of the of the local controllers fails. We again use a homotopy method where the coefficient matrices of the failed controller are decreased progressively to zero.Th e efficiency of the proposed algorithm is demonstrated by an example