State-space solution to the periodic multirate H∞ control problem:: A lifting approach

被引：23
|
作者：
Sågfors, MF
Toivonen, HT
Lennartson, B
机构：
[1] Abo Akad Univ, Dept Chem Engn, FIN-20500 Turku, Finland
[2] Chalmers Univ Technol, Control Engn Lab, S-41296 Gothenburg, Sweden
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2000年 / 45卷 / 12期
基金：
芬兰科学院;
关键词：
H-infinity-control; lifting techniques; multirate; optimal control; periodic systems;
D O I：
10.1109/9.895571
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A two-Riccati equation solution to the N-infinity control problem for periodic multirate systems is derived via the lifting method. The solution is expressed in terms of two algebraic Riccati equations. The causality constraints are represented by a set of positive definiteness conditions and coupling criteria. As a by-product, the study shows that there is a close connection between the solution of the causally constrained lifted problem and the solution obtained by solving the problem directly as a periodic H-infinity problem defined for the multirate system.
引用
收藏
页码：2345 / 2350
页数：6
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