NDLI: Robust model predictive control for discrete uncertain time-varying systems with delay

Content Provider	IEEE Xplore Digital Library
Author	Thi, T. Hara, S.
Copyright Year	2009
Description	Author affiliation: Department of Automatic Control Hanoi University of Technology, Vietnam (Thi, T.) \|\| Department of Information Physics and Computing, University of Tokyo, Japan (Hara, S.)
Abstract	In this paper, we present a method for synthesizing a robust model predictive control for uncertain time-varying systems with state delay. The goal is to design, at each sampling time, a state feedback control law that minimizes an upper bound of the worst-case objective function, subject to constraints of control inputs. The worst-case performance is defined as an infinite-horizon quadratic function of states and control inputs. In order to guarantee robust performance, the method uses multiple Lyapunov-Krasovskii functions each of which corresponds to a different vertex of the uncertainty polytope. The state feedback design problem is cast as convex optimization involving linear matrix inequalities which can be efficiently solved. The proposed technique yields an improved performance and less conservative than the robust model predictive control technique using a single Lyapunov-Krasovskii function. A numerical example is provided to illustrate the effectiveness of the control algorithm.
Starting Page	3775
Ending Page	3780
File Size	162053
Page Count	6
File Format	PDF
ISBN	9784907764340
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-08-18
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	SICE
Subject Keyword	Robust control Predictive models Predictive control Time varying systems Delay systems State feedback Control system synthesis Sampling methods Upper bound Robustness linear matrix inequalities Model predictive control robust control uncertain time-varying systems multiple Lyapunov-Krasovskii functions input constraints state feedback
Content Type	Text
Resource Type	Article

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