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

【摘要】 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.更多还原

【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.更多还原