Brief paper: A time-optimal control algorithm for digital computer control

  • Authors:

  • J. H. De Vlieger;H. B. Verbruggen;P. M. Bruijn

  • Affiliations:

  • Control Laboratory, Department of Electrical Engineering, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands;Control Laboratory, Department of Electrical Engineering, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands;Control Laboratory, Department of Electrical Engineering, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1982

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Abstract

A time-optimal control algorithm for digital computer control allowing bounds on control variables and state variables is presented. Through linear programming techniques a time-optimal sequence is computed by using a linear discrete model of the process. For real-time applications feedback control is achieved by recalculating the control sequence each sampling period. In addition, an adaptive control strategy based on on-line estimation of the state variables and the parameters of the system is introduced. In order to be able to apply the algorithm in a real-time environment, computational efficiency is emphasized. An application of the algorithm to a sixth-order multivariable system is given.