Title :
Stabilizing periodic orbits in forced nonlinear systems: an LMI-based synthesis technique
Author :
Basso, M. ; Genesio, R. ; Giovanardi, L.
Author_Institution :
Dipt. di Sistemi e Inf., Univ. di Firenze, Italy
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 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; feedback; nonlinear control systems; absolute stability problem; forced nonlinear systems; linear matrix inequality; linear periodic feedback system; optimal stabilizing controller; periodic orbits; sinusoidally forced nonlinear systems; Chaos; Control system synthesis; Control systems; Delay; Feedback; Nonlinear control systems; Nonlinear systems; Optimal control; Orbits; Stability criteria;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.874275
