变时滞不确定关联系统的分散鲁棒无记忆控制

Decentralized Memoryless Robust Control for Linear 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 ,主要运用线性矩阵不等式 (LMI)方法对其分散鲁棒无记忆控制问题进行了研究 .首先 ,通过构造适当形式的Lyapunov泛函数 ,运用LMI方法与矢量不等式方法 ,提出了以一组LMIs有解作为系统可分散鲁棒无记忆控制的充分条件 ,并给出了系统在此条件下的控制律 .然后 ,将求解一个具有LMIs约束的凸优化问题作为设计尽可能小反馈增益的分散鲁棒无记忆控制律的系统化方法 ,从而可以得到更符合实际的满意的分散无记忆控制律 .

We use linear matrix inequality (LMI) approach to study the decentralized memoryless robust control problem for linear uncertain interconnected systems with time varying delays. First, by constructing proper Lyapunov universal function and using LMI and vector inequalities, we present sufficient conditions for existence of decentralized memoryless robust stabilization and give the controller. Secondly, we present a systematic method for decentralized controllers with small feedback gain. So, we can derive more practical and satisfactory decentralized memoryless robust controllers.