Control Parametrization for Canonical Optimal Control Problems

Kok Lay Teo, Bin Li, Changjun Yu and Volker Rehbock
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Kok Lay Teo: Sunway University
Bin Li: Sichuan University
Changjun Yu: Shanghai University
Volker Rehbock: Curtin University

Chapter Chapter 8 in Applied and Computational Optimal Control, 2021, pp 267-314 from Springer

Abstract: 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.

Date: 2021
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DOI: 10.1007/978-3-030-69913-0_8

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