On the design of a reduced-order H∞ controller for nonlinear sampled-data systems

被引：3
|
作者：
Li, YF
Yung, CF [1 ]
Jung, H
机构：
[1] Natl Taiwan Ocean Univ, Dept Elect Engn, Chilung 202, Taiwan
[2] Ming Hsing Univ Sci & Technol, Dept Elect Engn, Hsinchu 304, Taiwan
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2005年 / 36卷 / 06期
关键词：
H-infinity control; controller reduction; sampled-data systems; nonlinear systems; output feedback;
D O I：
10.1080/00207720500111723
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of designing reduced-order H-infinity controllers is studied for nonlinear continuous-time systems with sampled measurements. Using the concepts of dissipativity and differential game, sufficient conditions are derived for the existence of such reduced-order H-infinity controllers. These conditions are expressed in terms of the solutions of two Hamilton - Jacobi inequalities, comprising a standard Hamilton - Jacobi inequality and a differential Hamilton - Jacobi inequality with jumps. These Hamilton - Jacobi inequalities are exactly those used in the construction of full-order H-infinity controllers. When these conditions hold, state-space formulae are also given for such reduced-order controllers. An illustrative example is also included.
引用
收藏
页码：365 / 373
页数：9
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