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.
Stabilizing periodic orbits in forced nonlinear systems: an LMI-based synthesis technique / M. Basso;R. Genesio;L. Giovanardi. - STAMPA. - 3:(2000), pp. 427-430. (Intervento presentato al convegno 2nd International Conference Control of Oscillations and Chaos tenutosi a St. Petersburg , Russia nel 2000-5--7 July) [10.1109/COC.2000.874275].
Stabilizing periodic orbits in forced nonlinear systems: an LMI-based synthesis technique
BASSO, MICHELE;GENESIO, ROBERTO;GIOVANARDI, LORENZO
2000
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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.