Linear Quadratic State Feedback Optimal Control against Actuator Failures
Linear Quadratic State Feedback Optimal Control against Actuator Failures
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DOI：
10.1109/icma.2007.4304100
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发表时间：
2007-09
期刊：
影响因子：
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通讯作者：
Zhizhou Zhang;Zhiqiang Long;L. She;Wensen Chang
中科院分区：
文献类型：
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作者：
Zhizhou Zhang;Zhiqiang Long;L. She;Wensen Chang
本文研究了具有致动器冗余的开环不稳定系统的鲁棒最优控制器的综合。所设计的线性二次状态反馈调节器可以在执行器出现某些故障时保持闭环稳定性。在设计的第一阶段，给出了执行器功能冗余的判别，这是设计鲁棒控制器的前提。然后提出了一种基于状态反馈容错律存在充分条件的综合方法。鲁棒线性二次型（LQ）稳压器的综合证明等同于一个具有给定系统动态性能指标的标准LQ稳压器设计。在磁悬浮列车双电磁铁悬浮模型故障控制系统设计中，验证了该方法的有效性。
This paper is concerned with the synthesis of a robust and optimal controller for open-loop unstable systems possessing actuator redundancy. The designed linear quadratic state feedback regulator can maintain the close-loop stability in the presence of some certain actuator failures. At the first design stage, a discriminance of actuator functional redundancy is given, which is the precondition to design the robust controller. Then a synthesis method based on a sufficient condition which guarantees the existence of the state-feedback fault-tolerant law is presented. The robust Linear Quadratic (LQ) regulator synthesis is shown to be equivalent to a standard LQ regulator design with a given dynamic performance index of the system. The effectiveness of this method has been verified on the fault control system design for the double electromagnets suspension model of maglev train.