title: Inducing sustained oscillations in feedback-linearizable single-input nonlinear systems.
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.
authors: Centro de Investigación en Computación CIC - IPN, Av. Juan de Dios Bátiz s/n, U.P.A.L.M, Col. San Pedro Zacatenco, A.P. 75476, México, D.F. 07738, Mexico. Electronic address: carlosaguilari@cic.ipn.mx.
authors: Carlos
authors: C
authors: Aguilar-Ibánez
authors: Department of Automatic Control, CINVESTAV, Mexico.
authors: J C
authors: JC
authors: Martinez
authors: ESIME Azcapotzalco, IPN, Mexico.
authors: Jose de Jesus
authors: Jde J
authors: Rubio
authors: ESCOM, IPN, Mexico.
authors: Miguel S
authors: MS
authors: Suarez-Castanon
keywords: Feedback-based control; Feedback-linearizing control; Induction of sustained oscillations; Invariance-set control technics; Synchronization