International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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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)
  • Published : 2006.08.01
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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

References

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