不确定广义系统的弹性H_∞控制

Resilient H-infinity control for uncertain descriptor systems

研究了具有范数有界不确定性的广义系统的弹性H∞控制问题.首先证明了广义系统的有界实引理可以用一个严格的线性矩阵不等式来描述.在此基础上,针对控制器存在加性摄动的情形,以严格线性矩阵不等式约束条件给出了弹性H∞状态反馈控制器存在的充分必要条件,并给出了控制器的显式表示.算例验证了本文方法的可行性.

The problem of the resilient H-infinity control for descriptor systems with norm-bounded uncertainty is considered. It is shown that the bounded real lemma for the nominal descriptor system can be described by a strict linear matrix inequality. Based on this new bounded real lemma, the sufficient and necessary conditions for the existence of the resilient H-infinity state-feedback controller under the additive perturbation is presented in the form of a strict linear matrix inequality. The explicit expression for the desired controller is also given. Numerical examples are given to demonstrate the effectiveness of the proposed methods.