一般广义对象的严格真H^∞控制器设计  

THE DESIGN OF STRICTLY PROPER H ∞ CONTROLLERS FOR GENERAL GENERALIZED PLANTS

作　　者：忻欣[1] 郭雷[1] 冯纯伯[1] 

机构地区：[1]东南大学自动化所

出　　处：《自动化学报》1997年第5期668-672,共5页Acta Automatica Sinica

基　　金：国家自然科学基金

摘　　要：考虑一般广义对象的严格真Ｈ∞控制器设计问题．基于线性矩阵不等式（ＬＭＩ）方法，指出严格真Ｈ∞控制器存在当且仅当Ｈ∞控制问题可解，并满足一个静态条件，最后提出了一个基于ＬＭＩ的严格真Ｈ∞控制器的设计方法．This paper considers the design problem of strictly proper H ∞ controllers for general generalized plants. We obtain sufficient and necessary existence conditions of strictly proper H ∞ controllers via linear matrix inequality (LMI) approach. It is shown that there must exist strictly proper H ∞ controllers if and only if the H ∞ problem is solvable and the direct feedthrough matrix from the exogenous input to the controlled error satisfies the static conditions. An LMI based design method for strictly proper H ∞ controllers is also presented. The result generalizes some previous results about strictly proper H ∞ control problems.

关 键 词：H^∞控制 H^∞控制器 控制器 广义对象 

分 类 号：TM571[电气工程—电器]