Parameter-dependent H Control for Time-varying Delay Polytopic Systems

  • V. N. PhatEmail author
  • Q. P. Ha
  • H. Trinh


This paper addresses the robust stabilization and H control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H control are established in terms of linear matrix inequalities.


H control Polytopic uncertain systems Time-delay Robust stabilization Linear matrix inequality 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institute of MathematicsVASTHanoiVietnam
  2. 2.Faculty of Engineering and Information TechnologyUniversity of Technology SydneySydneyAustralia
  3. 3.School of EngineeringDeakin UniversityGeelongAustralia

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