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.
2000
2nd International Conference Control of Oscillations and Chaos, 2000. Proceedings. 2000
2nd International Conference Control of Oscillations and Chaos
St. Petersburg , Russia
2000-5--7 July
M. Basso;R. Genesio;L. Giovanardi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/516456
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