International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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An Improvement on Robust $H{\infty}$ Control for Uncertain Continuous-Time Descriptor Systems

  • Lee Hung-Jen (Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Science) ;
  • Kau Shih-Wei (Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Science) ;
  • Liu Yung-Sheng (Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Science) ;
  • Fang Chun-Hsiung (Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Science) ;
  • Chen Jian-Liung (Department of Electrical Engineering, National Sun Yat-Sen University) ;
  • Tsai Ming-Hung (Department of Electrical Engineering, National Sun Yat-Sen University) ;
  • Lee Li (Department of Electrical Engineering, National Sun Yat-Sen University)
  • Published : 2006.06.01
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Abstract

This paper proposes a new approach to solve robust $H{\infty}$ control problems for uncertain continuous-time descriptor systems. Necessary and sufficient conditions for robust $H{\infty}$ control analysis and design are derived and expressed in terms of a set of LMIs. In the proposed approach, the uncertainties are allowed to appear in all system matrices. Furthermore, a couple of assumptions that are required in earlier design methods are not needed anymore in the present one. The derived conditions also include several interesting results existing in the literature as special cases.

Keywords

References

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