Brief Robust state-predictive control with separation property: A reduced-state design for control systems with non-equal time delays

  • Authors:

  • Bogdan Marinescu;Henri BourlèS

  • Affiliations:

  • Electricité de France, Direction des Etudes et Recherches, 1, Avenue du Général de Gaulle, 92141 Clamart Cedex, France;Laboratoire d'Automatisme Industriel, CNAM, 21 rue Pinel, 75010 Paris, France

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

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Abstract

A robust state-predictive control strategy is proposed for discrete-time multi-input/output systems with non-equal delays on signal buses. It is based on a separation property between control and prediction. The input delays are taken into account in the control law synthesis and the output delays are handled using an original steady-state Kalman predictor of order equal to the length of the state of the system without delays. Robustness, especially against uncertain delays, is improved using a state extension in the predictive gain synthesis. The classic optimal separation theorem (in the case of an one step predictor) is extended to the general case of a d+1 step prediction for a delayed discrete-time system.