Optimal open loop control of dynamic systems using a "min-max" Hamiltonian method

S. Kanarachos; D. Koulocheris; K. Spentzas

doi:10.1007/s10010-004-0132-0

Optimal open loop control of dynamic systems using a "min-max" Hamiltonian method

S. Kanarachos
, D. Koulocheris
, K. Spentzas

National Technical University of Athens

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A new method for the computation of optimal open loop control of dynamic systems is presented. The new optimization method is derived from Pontryagin's Maximum Principle (PMP) and is formulated as a "minmax" Hamiltonian problem. The method can be applied to N-DOF dynamic systems without control limits (so called u-limits) and succeeds, despite of this, in achieving an optimal "bang-bang" type solution. The method is suitable for engineers, easy to apply and is characterized by an excellent performance and low CPU times. Numerical examples illustrate the proposed methodology as well as its computational advantages.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Forschung im Ingenieurwesen
Volume	69
Issue number	1
DOIs	https://doi.org/10.1007/s10010-004-0132-0
Publication status	Published - Dec 2004
Externally published	Yes

ASJC Scopus subject areas

Mechanical Engineering
Engineering (miscellaneous)

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10.1007/s10010-004-0132-0

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AU - Spentzas, K.

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AB - A new method for the computation of optimal open loop control of dynamic systems is presented. The new optimization method is derived from Pontryagin's Maximum Principle (PMP) and is formulated as a "minmax" Hamiltonian problem. The method can be applied to N-DOF dynamic systems without control limits (so called u-limits) and succeeds, despite of this, in achieving an optimal "bang-bang" type solution. The method is suitable for engineers, easy to apply and is characterized by an excellent performance and low CPU times. Numerical examples illustrate the proposed methodology as well as its computational advantages.

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Optimal open loop control of dynamic systems using a "min-max" Hamiltonian method

Abstract

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