A Gradient-Based Computation of Time Optimal Bang-Bang Controls

Philipp Eichmeir; Karin Nachbagauer; Wolfgang Steiner

A Gradient-Based Computation of Time Optimal Bang-Bang Controls

Philipp Eichmeir, Karin Nachbagauer, Wolfgang Steiner

Research output: Contribution to conference › Paper › peer-review

Abstract

Among all optimal control tasks, the computation of time optimal trajectories is the supreme discipline. If the control appears linear in the state equations and therefore also linear in the Hamiltonian, two cases can be considered for minimum time problems; either the control is singular or of the bang-bang type. In this article, we want to pay special attention to the latter, non-singular case, considering bounded (linear) inputs where only the switching points are unknown.

Original language	English
Pages	235-236
Publication status	Published - Dec 2021
Event	10th ECCOMAS Multibody Conference 2021 - online, Budapest, Hungary Duration: 12 Dec 2021 → 15 Dec 2021

Conference

Conference	10th ECCOMAS Multibody Conference 2021
Country/Territory	Hungary
City	Budapest
Period	12.12.2021 → 15.12.2021

Cite this

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title = "A Gradient-Based Computation of Time Optimal Bang-Bang Controls",

abstract = "Among all optimal control tasks, the computation of time optimal trajectories is the supreme discipline. If the control appears linear in the state equations and therefore also linear in the Hamiltonian, two cases can be considered for minimum time problems; either the control is singular or of the bang-bang type. In this article, we want to pay special attention to the latter, non-singular case, considering bounded (linear) inputs where only the switching points are unknown.",

keywords = "Time optimal control, Optimization, Multibody dynamics, Parameter identification, Non-linear mechanical system",

author = "Philipp Eichmeir and Karin Nachbagauer and Wolfgang Steiner",

year = "2021",

month = dec,

language = "English",

pages = "235--236",

note = "10th ECCOMAS Multibody Conference 2021 ; Conference date: 12-12-2021 Through 15-12-2021",

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TY - CONF

T1 - A Gradient-Based Computation of Time Optimal Bang-Bang Controls

AU - Eichmeir, Philipp

AU - Nachbagauer, Karin

AU - Steiner, Wolfgang

PY - 2021/12

Y1 - 2021/12

N2 - Among all optimal control tasks, the computation of time optimal trajectories is the supreme discipline. If the control appears linear in the state equations and therefore also linear in the Hamiltonian, two cases can be considered for minimum time problems; either the control is singular or of the bang-bang type. In this article, we want to pay special attention to the latter, non-singular case, considering bounded (linear) inputs where only the switching points are unknown.

AB - Among all optimal control tasks, the computation of time optimal trajectories is the supreme discipline. If the control appears linear in the state equations and therefore also linear in the Hamiltonian, two cases can be considered for minimum time problems; either the control is singular or of the bang-bang type. In this article, we want to pay special attention to the latter, non-singular case, considering bounded (linear) inputs where only the switching points are unknown.

KW - Time optimal control

KW - Optimization

KW - Multibody dynamics

KW - Parameter identification

KW - Non-linear mechanical system

M3 - Paper

SP - 235

EP - 236

T2 - 10th ECCOMAS Multibody Conference 2021

Y2 - 12 December 2021 through 15 December 2021

ER -