Paper Info
Title
Repetitive Control Of Discrete-Time Markov Jump Linear Systems
Abstract
In this paper a mode-dependent repetitive controller design for discrete-time Markov Jump Linear Systems (MJLS) is proposed for tracking a periodic reference signal. By employing ideas from the lifting technique, the discrete-time MJLS and the repetitive controller structure are transformed into a stochastic two-dimensional model that differentiates the control and learning actions involved in the repetitive controller structure. For this transformed model, sufficient conditions are derived for the closed-loop control system to be mean square asymptotically stable by utilizing tools from stochastic systems theory and Lyapunov techniques. Results from numerical simulations on a stochastic switching tunnel diode circuit are presented to corroborate the proposed method.
Year
Venue
Field
2018
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)
Lyapunov function,Control theory,Markov process,Linear system,Repetitive control,Control theory,Computer science,Discrete time and continuous time,Control system,Stability theory
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Guoqi Ma163.79
Xinghua Liu27614.84
Prabhakar R. Pagilla39819.94