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[ $H_{\infty}$ ] Control of 2-D Discrete State Delay Systems  

Xu Jianming (College of Information Engineering, Zhejiang University of Technology)
Yu Li (College of Information Engineering, Zhejiang University of Technology)
Publication Information
International Journal of Control, Automation, and Systems / v.4, no.4, 2006 , pp. 516-523 More about this Journal
Abstract
This paper is concerned with the $H_{\infty}$ control problem of 2-D discrete state delay systems described by the Roesser model. The condition for the system to have a specified $H_{\infty}$ performance is derived via the linear matrix inequality (LMI) approach. Furthermore, a design procedure for $H_{\infty}$ state feedback controllers is given by solving a certain LMI. The design problem of optimal $H_{\infty}$ controllers is formulated as a convex optimization problem, which can be solved by existing convex optimization techniques. Simulation results are presented to illustrate the effectiveness of the proposed results.
Keywords
2-D discrete systems; $H_{\infty}$ control; LMI; state delay;
Citations & Related Records

Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
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