Technical communique: Optimal ripple-free deadbeat control using an integral of time squared error (ITSE) index

  • Authors:
  • Francisco J. Vargas;Mario E. Salgado;Eduardo I. Silva

  • Affiliations:
  • -;-;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2011

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Abstract

This paper describes an optimal ripple-free deadbeat control strategy for single-input-single-output (SISO) linear sampled data plants. The cost function to be minimized is a linear combination of a time-weighted cumulative term that penalizes the tracking error, that is, an integral of time squared error (ITSE) cost term, and a cumulative term which penalizes the control signal deviations from its steady-state value. The optimization problem turns out to be convex, and closed-form solutions are obtained. An example is included to illustrate our results.