Inducing sustained oscillations in feedback-linearizable single-input nonlinear systems |
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Affiliation: | 1. Univ. Grenoble Alpes, F-38000 Grenoble France CEA, LETI, MINATEC Campus, F-38054 Grenoble, France;2. Univ. Grenoble Alpes, F-38000 Grenoble France CEA INAC-SP2M, F-38054 Grenoble, France |
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Abstract: | The present paper concerns the induction of stable sustained oscillation in feedback-linearizable single-input affine nonlinear dynamical systems via continuous-time state feedback control. The proposed application-oriented control approach is based on the conception of a state feedback controller that ensures the tracking of a limit cycle characterized in terms of the feedback-linearized system. Boundedness and convergence of the closed-loop trajectories are established following the Lyapunov theoretical framework and applying LaSalle׳s stability principle. The proposed approach is demonstrated with computer-simulated control experiments, showing that it ensures the convergence of the state trajectories of the controlled system to a designed limit cycle and that the methodology can, in principle, be applied to any single input feedback linearizable system. |
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Keywords: | Feedback-based control Induction of sustained oscillations Invariance-set control technics Feedback-linearizing control Synchronization |
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