Paper Info
Title
Robust Repetitive Control Of Semi-Markovian Jump Systems
Abstract
This paper considers the periodic reference tracking problem for continuous-time semi-Markovian jump systems. An observer-based robust modified repetitive controller with logarithmically quantised output measurements is proposed. By using a lifting technique, the semi-Markovian jump system and the modified repetitive controller structure are transformed into a stochastic two-dimensional (2D) model to differentiate the control and learning actions involved in the repetitive controller structure. For the transformed 2D model, first, sufficient conditions are derived for the closed-loop control system to be mean square asymptotically stable by utilising tools from stochastic systems theory and multiple Lyapunov functional technique. Subsequently, a robust modified repetitive controller is synthesised to ensure a prescribed attenuation performance in the presence of a bounded exogenous disturbance input. A numerical example on a switched boost converter circuit is considered and simulation results are provided to evaluate the proposed control strategy.
Year
DOI
Venue
2019
10.1080/00207721.2018.1543480
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
Robust repetitive control, periodic reference tracking, semi-Markovian jump systems, observer, output quantisation
Control theory,Repetitive control,Control theory,Markovian jump,Observer (quantum physics),Jump,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
50
1
0020-7721
Citations 
PageRank 
References 
0
0.34
14
Authors
3
Name
Order
Citations
PageRank
Guoqi Ma101.35
Xinghua Liu27614.84
Prabhakar R. Pagilla39819.94