广义大系统非脆弱分散H_∞控制器设计

Non-fragile decentralized H∞ controller design for singular large-scale systems

针对控制器增益具有模有界扰动的情况,研究广义大系统非脆弱分散H∞控制问题.基于广义系统的有界实引理和线性矩阵不等式(LMI)方法,分别给出了广义大系统非脆弱分散H∞控制器和非脆弱分散H∞保性能控制器存在的充分条件和设计方法.最后通过仿真算例表明了所提出方法的有效性.

The non-fragile decentralized Ho~ control problem for singular large-scale systems is considered, the controller＇s perturbations are value bounded. Based on the bounded real lemma of singular systems and by using the linear matrix inequality（LMI） approach, the sufficient existence conditions and design approaches are presented for the corresponding non-fragile decentralized H∞ controllers, the non-fragile decentralized H∞ and guaranteed cost controllers, respectively. Finally, a numerical example is given to show the effectiveness of the proposed approach.