International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Robust and Non-fragile $H^{i~}$ State Feedback Controller Design for Time Delay Systems

  • Cho, Sang-Hyun (Xonmedia) ;
  • Kim, Ki-Tae (School of Electronic and Electrical Engineering, Kyungpook National University) ;
  • Park, Hong-Bae (School of Electronic and Electrical Engineering, Kyungpook National University)
  • Published : 2003.12.01
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Abstract

This paper describes the synthesis of robust and non-fragile $H^{i~}$state feedback controllers for linear varying systems with time delay and affine parameter uncertainties, as well as static state feedback controller with structural uncertainty. The sufficient condition of controller existence, the design method of robust and non-fragile $H^{i~}$static state feedback controller, and the region of controllers satisfying non-fragility are presented. Also, using some change of variables and Schur complements, the obtained conditions can be rewritten as parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of time delay and controller gain variations within a resulted polytopic region.

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References

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