H∞ control for discrete-time nonlinear switching systems

被引：1

作者：

Zhang, Huan ^{[1
]}

Huang, Shoudong ^{[2
]}

James, Matthew R. ^{[1
]}

机构：

[1] Australian Natl Univ, Dept Engn, Canberra, ACT 0200, Australia

[2] Univ Technol Sydney, Ctr Excellence Autonomous Syst, Fac Engn, Sydney, NSW 2007, Australia

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2008年 / 18卷 / 15期

基金：

澳大利亚研究理事会;

关键词：

switching systems; H-infinity control; dissipative systems; information state; dynamic games; dynamic programming;

D O I：

10.1002/rnc.1282

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper formulates and solves the robust H-infinity control problem for discrete-time nonlinear switching, systems. The H-infinity control problem is interpreted as the l(2) finite gain control problem and is studied using a dissipative systems theory for switched systems. Both state and measurement feedback control problems are formulated as dynamic games and solved using dynamic programming. The partially observed dynamic game corresponding to the measurement feedback control problem is solved by transforming into a completely observed, full state infinite-dimensional game problem using information states. Our results are illustrated with an example. Copyright (C) 2007 John Wiley & Sons, Ltd.

引用

页码：1451 / 1481

页数：31

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