TY - JOUR
T1 - Inducing sustained oscillations in feedback-linearizable single-input nonlinear systems
AU - Aguilar-Ibánez, Carlos
AU - Martinez, J. C.
AU - Rubio, Jose De Jesus
AU - Suarez-Castanon, Miguel S.
N1 - Publisher Copyright:
© 2014 ISA.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
KW - Feedback-based control
KW - Feedback-linearizing control
KW - Induction of sustained oscillations
KW - Invariance-set control technics
KW - Synchronization
UR - http://www.scopus.com/inward/record.url?scp=84923702454&partnerID=8YFLogxK
U2 - 10.1016/j.isatra.2014.03.012
DO - 10.1016/j.isatra.2014.03.012
M3 - Artículo
C2 - 25053589
SN - 0019-0578
VL - 54
SP - 117
EP - 124
JO - ISA Transactions
JF - ISA Transactions
ER -