International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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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)
  • Published : 2008.10.31
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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

References

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