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Robust $H_{\infty}$ Control for Uncertain Two-Dimensional Discrete Systems Described by the General Model via Output Feedback Controllers  

Xu, Huiling (Department of Applied Mathematics, Nanjing University of Science and Technology)
Zou, Yun (Department of Automation, Nanjing University of Science and Technology)
Xu, Shengyuan (Department of Automation, Nanjing University of Science and Technology)
Guo, Lei (School of instrument Science and Opto-Electronics Engineering, Beihang University)
Publication Information
International Journal of Control, Automation, and Systems / v.6, no.5, 2008 , pp. 785-791 More about this Journal
Abstract
This paper considers the problem of robust $H_{\infty}$ control for uncertain 2-D discrete systems in the General Model via output feedback controllers. The parameter uncertainty is assumed to be norm-bounded. The purpose is the design of output feedback controllers such that the closed-loop system is stable while satisfying a prescribed $H_{\infty}$ performance level. In terms of a linear matrix inequality, a sufficient condition for the solvability of the problem is obtained, and an explicit expression of desired output feedback controllers is given. An example is provided to demonstrate the application of the proposed method.
Keywords
Discrete systems; general model; linear matrix inequality; robust $H_{\infty}$ control; two-dimensional systems; uncertain systems;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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