多变量系统H∞优化设计  

H~∞ Optimization Design for MIMO Systems

作　　者：杨富文[1] 涂健[2] 

机构地区：[1]福州大学 [2]华中理工大学自动控制工程系

出　　处：《华中理工大学学报》1991年第3期13-20,共8页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金

摘　　要：本文针对H^∞优化设计中存在的一些问题进行了深入的探讨;通过转换解决了T₁2或T₂1在扩展的jω轴上有零点的H^∞控制问题;通过降阶降低了模型匹配问题的阶次,从而降低了控制器的阶次。文中还给出了Nehari扩展问题的次优解的一种简单综合表达式,它可以避免不稳定的零极点对消。Some problems in H∞ optimization design are investigated in detail. Stable and antistable projection are used to make the H∞control problems which have zeros on the extended jω-axis solvable without any change of the original property. With a decrease of order, uncontrollable/unobserv-able states are eliminated for a variety of theoretically inelegant transformations. The degree in a model-matching problem is reduced and so is that of the controller. Meanwhile, a simple suboptimal solution for the Nehari extension problem is derived algebraically, which can help avoid unstable pole/zero cancellation.

关 键 词：多变量系统 H∞控制问题 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]