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Inducing sustained oscillations in feedback-linearizable single-input nonlinear systems
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DOI：10.1016/j.isatra.2014.03.012.png)
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Abstract
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The present paper concerns the induction of stable sustained oscillation in feedback-linearizable singleinput 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. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.
Keywords:
Feedback-based control
Induction of sustained oscillations
Invariance-set control technics
Feedback-linearizing control
Synchronization
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