1. Inducing sustained oscillations in feedback-linearizable single-input nonlinear systems.
- Author
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Aguilar-Ibánez C, Martinez JC, Rubio Jde J, and Suarez-Castanon MS
- 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., (Copyright © 2014 ISA. Published by Elsevier Ltd. All rights reserved.)
- Published
- 2015
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