Minimization of the peak-to-peak gain in periodic systems under full state feedback

被引：2
|
作者：
Aubrecht, J
Voulgaris, PG
机构：
[1] Univ Illinois, Dept Mech & Ind Engn, Urbana, IL 61801 USA
[2] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA
来源：
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2001年 / 123卷 / 01期
关键词：
l(1)-optimal; periodic; viability; linear programming;
D O I：
10.1115/1.1341199
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper considers the minimization of the l(infinity)-induced norm of the closed loop in linear periodically time varying (LPTV) systems when state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. It is shown that a memoryless periodically varying nonlinear controller can be constructed to achieve near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the periodic case earlier work on linear time-invariant systems.
引用
收藏
页码：10 / 20
页数：11
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