Title
Adaptive control with guaranteed contraction rate for systems with actuator saturation
Abstract
The problem of adaptive control of linear discrete-time systems with actuator saturation and unknown parameters is investigated. A novel optimal control method is presented first for linear systems with known parameters and constant actuator saturation by introducing a Lyapunov function and a performance cost function that are both dependent on a contraction rate parameter. Based on the obtained guaranteed contraction-rate control method, an adaptive control algorithm is derived for systems containing unknown system parameters and time-varying actuator saturation. To show that the closed-loop system is stable and that the adaptive control algorithm is convergent, the Lyapunov function is supplemented by an additional part defined by the trace of a quadratic function of the controller gain. The effectiveness and potential of the presented method is demonstrated by a numerical example. © Springer Science+Business Media, LLC 2011.
Year
DOI
Venue
2012
10.1007/s00034-011-9386-6
CSSP
Keywords
Field
DocType
Adaptive control, Contraction-rate control, Actuator saturation, Parameter uncertainty
Lyapunov function,Mathematical optimization,Plant,Control theory,Optimal control,Linear system,Control theory,Quadratic function,Adaptive control,Mathematics,Actuator saturation
Journal
Volume
Issue
ISSN
31
4
15315878
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
Ge Guo172749.03
Wei Yue217015.50