变时滞不确定关联系统的分散鲁棒容错控制

Decentralized Falt-tolerant Robust Control for Uncertain Interconnected Systems with Time-varying Delays

针对一类不确定项具有数值界的变时滞不确定关联系统 ,运用线性矩阵不等式 (L MI)方法对其分散鲁棒容错控制问题进行研究。首先提出以一组 L MIs有解作为系统可分散鲁棒容错控制的充分条件 ,并给出了系统在此条件下的控制律 ,它对执行器发生故障时具有完整性 ;然后求解一个具有L MIs约束的凸优化问题 ,作为设计具有尽可能小反馈增益的分散鲁棒容错控制律的系统化方法 。

The decentralized fault tolerant robust stabilization problem for large scale uncertain interconnected systems with time varying delays is studied by using linear matrix inequality (LMI) approach. The uncertainty in the system is value bounded. Sufficient conditions for existence of decentralized falt tolerant robust stabilization are presented. Based on these conditions, the controller is presented in the case of actuator failures. By solving a convex optimization problem with LMIs constraints, the systematic methods for decentralized controllers with small feedback gain are presented.