Brief Every stabilizing dead-time controller has an observer-predictor-based structure

  • Authors:

  • Leonid Mirkin;Natalya Raskin

  • Affiliations:

  • Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, 32000 Technion City, Haifa, Israel;Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, 32000 Technion City, Haifa, Israel

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2003

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Abstract

This paper considers the stabilization problem for linear time-invariant systems with a single delay h in the feedback loop. Two parametrizations of all stabilizing controllers are derived in terms of a state-space realization of the rational part of the plant. These parametrizations have simple structures and clear interpretations: the first is in the form of a generalized dead-time compensator (Smith predictor) and the second is in the observer-predictor form. Applications of the proposed parametrization to the H^2 optimization and the robust stabilization problems are discussed.