LMI-based synthesis for controlling periodic solutions in a class of nonlinear systems

Author

Basso, M. ; Giovanardi, L. ; Tesi, A.

Author_Institution

Dipt. di Sistemi e Inf., Univ. di Firenze, Italy

Volume

2

fYear

2000

fDate

2000

Firstpage

381

Abstract

The paper considers the problem of designing controllers to stabilize periodic orbits in a class of sinusoidally forced nonlinear systems. This problem is formulated as an absolute stability problem of a linear periodic feedback system, in order to employ the well-known circle criterion. In this setting, we provide an LMI-based synthesis of the optimal stabilizing controller, i.e., the one ensuring the largest obtainable stability bounds

Keywords

absolute stability; chaos; control system synthesis; feedback; matrix algebra; nonlinear control systems; optimisation; LMI-based synthesis; absolute stability problem; circle criterion; controller design; linear matrix inequality; linear periodic feedback system; optimal stabilizing controller; periodic orbits stabilisation; periodic solutions control; sinusoidally forced nonlinear systems; stability bounds; Chaos; Control system synthesis; Control systems; Delay; Feedback; Nonlinear control systems; Nonlinear systems; Orbits; Stability criteria; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on

Conference_Location

Geneva

Print_ISBN

0-7803-5482-6

Type

conf

DOI

10.1109/ISCAS.2000.856341

Filename

856341