Delay-dependent robust H∞ control for uncertain systems with time-varying delay

  • Authors:
  • Chen Peng;Yu-Chu Tian

  • Affiliations:
  • School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, Jiangsu 210042, PR China;School of Information Technology, Queensland University of Technology, GPO Box 2434, Brisbane QLD 4001, Australia

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

This paper proposes a new approach for delay-dependent robust H"~ stability analysis and control synthesis of uncertain systems with time-varying delay. The key features of the approach include the introduction of a new Lyapunov-Krasovskii functional, the construction of an augmented matrix with uncorrelated terms, and the employment of a tighter bounding technique. As a result, significant performance improvement is achieved in system analysis and synthesis without using either free weighting matrices or model transformation. Examples are given to demonstrate the effectiveness of the proposed approach.