Paper Info
Title
Asymptotic tracking of periodic solutions using state feedback damping control
Abstract
This paper considers the design of smooth state feedback controllers to track periodic solutions of control affine nonlinear systems. The objective is to show that stabilization of desired periodic solutions can be achieved by tracking a periodic reference signal using time-dependent damping feedback. The approach consists in computing an expression for a locally defined time-varying dissipative potential for the error dynamics. Following the Jurdjevic-Quinn approach, the obtained potential is then used to construct a smooth feedback controller that asymptotically stabilizes the system to the desired periodic invariant set. A numerical application to a Lotka-Volterra system is presented to illustrate the construction.
Year
DOI
Venue
2010
10.1109/CDC.2010.5718186
Decision and Control
Keywords
Field
DocType
asymptotic stability,control system synthesis,damping,nonlinear systems,state feedback,Jurdjevic-Quinn approach,Lotka-Volterra system,asymptotic stability,asymptotic tracking,control affine nonlinear systems,error dynamics,locally defined time-varying dissipative potential,periodic invariant set,periodic reference signal,periodic solutions,smooth feedback controller,stabilization,state feedback controller design,state feedback damping control,time-dependent damping feedback
Mathematical optimization,Affine nonlinear system,Nonlinear system,Feedback controller,Control theory,Computer science,Dissipative system,Exponential stability,Invariant (mathematics),Periodic graph (geometry),Trajectory
Conference
ISSN
ISBN
Citations 
0743-1546
978-1-4244-7745-6
0
PageRank 
References 
Authors
0.34
6
2
Name
Order
Citations
PageRank
Nicolas Hudon1518.93
M. Guay228341.27