基于LMI的不确定组合大系统的分散鲁棒H_∞控制

LMI-based Decentralized Robust H_∞ Controller for a Class of Linear Uncertain Composite System

根据有界实引理,研究不确定组合大系统的分散鲁棒H∞控制问题.应用线性矩阵不等式的方法,给出了系统可分散鲁棒镇定且具有H∞性能γ的充要条件,通过建立和求解一个凸优化问题,提出了最优H∞控制律设计方法,并用实例验证了所得结论的正确性.

This paper studies decentralized robust H∞ control problem for a class of linear uncertain composite system based on bounded real lemma. Using the linear matrix inequality, the necessary and sufficient condition for decentralized robust H∞ stabilization is presented. Furthermore, the design problem of optimal H∞controller is formulated as a convex optimization problem. Finally, the effectiveness and rationality of the conclusion is proved by a practical example.