Technical Communique: Robust H∞ control of discrete systems with uncertain parameters and unknown delays

  • Authors:
  • Magdi S. Mahmoud

  • Affiliations:
  • Department of Electrical and Computer Engineering, Kuwait University, P.O. Box 5969, Safat-13060, Kuwait

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2000

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Abstract

In this paper, we address the problems of robust H"~ performance analysis and control synthesis for a class of discrete-time systems with norm-bounded parameter uncertainty and unknown constant state delay. Through finite-dimensional algebraic Riccati equations, we provide a necessary and sufficient condition for designing a memoryless state-feedback controller which stabilizes the discrete time-delay system under consideration and guarantees an H"~-norm bound constraint on the disturbance attenuation for all admissible uncertainties and unknown delays. An example is worked out to illustrate the developed theory.