An LMI-based controller synthesis for periodic trajectories in a class of nonlinear systems

被引：6
作者：
Basso, M [1 ]
Genesio, R [1 ]
Tesi, A [1 ]
机构：
[1] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 10期
关键词：
circle criterion; forced nonlinear systems; linear controller synthesis; linear matrix inequalities (LMIs); periodic dynamics;
D O I：
10.1109/TAC.2002.803550
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 use of finite-dimensional linear time-invariant controllers for the stabilization of periodic solutions in sinusoidally forced nonlinear systems is investigated. By mixing results concerning absolute stability of nonlinear systems and robustness of linear systems, a linear matrix inequality-based controller synthesis technique is developed. The synthesis algorithm yields the controller maximizing a lower bound of the maximum amplitude of the forcing input, for which the corresponding periodic solutions are guaranteed to be stable. The Duffing oscillator is employed to illustrate the main features of the proposed synthesis technique.
引用
收藏
页码：1740 / 1744
页数：5
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