不确定广义大系统分散鲁棒H∞保性能控制

针对一类状态矩阵和控制矩阵存在参数不确定的广义大系统,研究其分散鲁棒H∞保性能控制问题,系统中不确定项具有数值界,可不满足匹配条件.基于广义系统的有界实引理,应用线性矩阵不等式(LMI)方法,给出了不确定广义大系统存在分散鲁棒H∞保件能控制器的一个LMI条件,并用这个线性矩阵不等式系统的可行解提供了一组分散鲁棒H∞保性能控制律的参数化表示,最后用例子说明该方法的应用.

Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems

The decentralized robust H-infinity and cost-guaranteed control problem for singular large-scale systems with uncertainty in states and control matrices is considered. The uncertainty is magnitude-bounded, but may violate the so-called matching conditions. Based on the bounded real lemma of singular systems, a sufficient condition for the existence of decentralized robust H-infinity and cost-guaranteed controller for uncertain singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities (LMI). The feasible solutions to this system of LMIs provide a parameterized expression for the set of decentralized robust H-infinity and cost-guaranteed controller. The given example shows the application of the method.