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 During oscillator is employed to illustrate the main features of the proposed synthesis technique.

An LMI-based controller synthesis for periodic trajectories in a class of nonlinear systems / M. BASSO; R. GENESIO; A. TESI. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 47:(2002), pp. 1740-1744. [10.1109/TAC.2002.803550]

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

BASSO, MICHELE;GENESIO, ROBERTO;TESI, ALBERTO
2002

Abstract

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 During oscillator is employed to illustrate the main features of the proposed synthesis technique.
2002
47
1740
1744
M. BASSO; R. GENESIO; A. TESI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/310470
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