摘要
用线性矩阵不等式 (LMI)方法研究大系统分散 H2 / H∞ 控制问题 ,提出了存在分散H2 / H∞ 状态反馈控制器的参数化定理和两种基于 LMI的设计方法 :直接 LMI方法和迭代 L MI(ILMI)方法 .所获得的控制器具有块对角结构 ,闭环系统稳定且能优化闭环系统的 H2 / H∞ 性能指标 。
This paper studyes the decentralized H 2/H ∞ control problem for large scale systems by linear matrix inequality (LMI) approach.The parametrization theorem for a decentralized H 2/H ∞ state feedback controller is addressed and two methods based on LMI are proposed to solve the problem: the direct LMI approach and iterative LMI(ILMI) approach. The controller obtained has the block diagonal structure, ensures the closed loop system asymptotically stable and offers an optimized H 2/H ∞ performance index. The given example shows the applications of the methods.
出处
《自动化学报》
EI
CSCD
北大核心
2000年第2期263-266,共4页
Acta Automatica Sinica
基金
国家自然科学基金
