State Feedback Guaranteed Cost Repetitive Control for Uncertain Discrete-Time Systems
Joint Authors
Chen, Wentao
Lin, Yechun
Wu, Qingping
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper considers the problem of guaranteed cost repetitive control for uncertain discrete-time systems.
The uncertainty in the system is assumed to be norm-bounded and time-varying.
The objective is to develop a novel design method so that the closed-loop repetitive control system is quadratically stable and a certain bound of performance index is guaranteed for all admissible uncertainties.
The state feedback control technique is used in the paper.
While for the case that the states are not measurable, an observer-based control scheme is adopted.
Sufficient conditions for the existence of guaranteed cost control law are derived in terms of linear matrix inequality (LMI).
The control and observer gains are characterized by the feasible solutions to these LMIs.
The optimal guaranteed cost control law is obtained efficiently by solving an optimization problem with LMI constraints using existing convex optimization algorithms.
A simulation example is provided to illustrate the validity of the proposed method.
American Psychological Association (APA)
Chen, Wentao& Lin, Yechun& Wu, Qingping. 2011. State Feedback Guaranteed Cost Repetitive Control for Uncertain Discrete-Time Systems. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-506875
Modern Language Association (MLA)
Chen, Wentao…[et al.]. State Feedback Guaranteed Cost Repetitive Control for Uncertain Discrete-Time Systems. Mathematical Problems in Engineering No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-506875
American Medical Association (AMA)
Chen, Wentao& Lin, Yechun& Wu, Qingping. State Feedback Guaranteed Cost Repetitive Control for Uncertain Discrete-Time Systems. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-506875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506875