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Control Parametrization for Canonical Optimal Control Problems

In: Applied and Computational Optimal Control

Author

Listed:
  • Kok Lay Teo

    (Sunway University)

  • Bin Li

    (Sichuan University)

  • Changjun Yu

    (Shanghai University)

  • Volker Rehbock

    (Curtin University)

Abstract

The methods reported in [75, 244, 245, 248, 249] and [253], as well as many papers cited in the references list, are developed based on the control parameterization technique for solving various classes of optimal control problems. Basically, the method partitions the time interval [0, T] into several subintervals and the control variables are approximated by piecewise constant or piecewise linear functions with pre-fixed switching times. Through this process, the optimal control problem is approximated by a sequence of optimal parameter selection problems.

Suggested Citation

  • Kok Lay Teo & Bin Li & Changjun Yu & Volker Rehbock, 2021. "Control Parametrization for Canonical Optimal Control Problems," Springer Optimization and Its Applications, in: Applied and Computational Optimal Control, chapter 0, pages 267-314, Springer.
  • Handle: RePEc:spr:spochp:978-3-030-69913-0_8
    DOI: 10.1007/978-3-030-69913-0_8
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