Inverse dynamics particle swarm optimization applied to bolza problems

Dario Spiller, Robert Graham Melton, Fabio Curti

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Inverse-dynamics Particle Swarm Optimization has already been successfully applied to several minimum-time problems. This numerical technique based on swarm intelligence is applied to solve optimal control problems formulated with the differentially flat approach. The advantages of this method lie in the global search ability of the optimizer and the reduction of the independent functions due to the exploitation of the differential flatness. However, it is known that optimal control problems formulated with either differential inclusion or differential flatness can lead to nonconvex problems with undesirable numerical properties. This paper in intended to show that, considering difficult problems with nonconvex state constraints and nonconvex cost functions, the proposed numerical technique can lead to satisfactory near-optimal solutions. Minimum-time, minimum-energy and minimum-effort maneuvers are addressed considering a constrained slew-maneuver as a test case.

Original languageEnglish (US)
Title of host publicationASTRODYNAMICS 2017
PublisherUnivelt Inc.
Pages1235-1254
Number of pages20
Volume162
ISBN (Print)9780877036456
StatePublished - Jan 1 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2017 - Stevenson, United States
Duration: Aug 20 2017Aug 24 2017

Other

OtherAAS/AIAA Astrodynamics Specialist Conference, 2017
CountryUnited States
CityStevenson
Period8/20/178/24/17

Fingerprint

Bolza problems
Particle swarm optimization (PSO)
optimization
maneuvers
optimal control
flatness
Cost functions
intelligence
exploitation
cost
energy
inclusions
costs
particle

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Spiller, D., Melton, R. G., & Curti, F. (2018). Inverse dynamics particle swarm optimization applied to bolza problems. In ASTRODYNAMICS 2017 (Vol. 162, pp. 1235-1254). Univelt Inc..
Spiller, Dario ; Melton, Robert Graham ; Curti, Fabio. / Inverse dynamics particle swarm optimization applied to bolza problems. ASTRODYNAMICS 2017. Vol. 162 Univelt Inc., 2018. pp. 1235-1254
@inproceedings{e6f4ce44b52e4da98e187f927cd6f4fb,
title = "Inverse dynamics particle swarm optimization applied to bolza problems",
abstract = "The Inverse-dynamics Particle Swarm Optimization has already been successfully applied to several minimum-time problems. This numerical technique based on swarm intelligence is applied to solve optimal control problems formulated with the differentially flat approach. The advantages of this method lie in the global search ability of the optimizer and the reduction of the independent functions due to the exploitation of the differential flatness. However, it is known that optimal control problems formulated with either differential inclusion or differential flatness can lead to nonconvex problems with undesirable numerical properties. This paper in intended to show that, considering difficult problems with nonconvex state constraints and nonconvex cost functions, the proposed numerical technique can lead to satisfactory near-optimal solutions. Minimum-time, minimum-energy and minimum-effort maneuvers are addressed considering a constrained slew-maneuver as a test case.",
author = "Dario Spiller and Melton, {Robert Graham} and Fabio Curti",
year = "2018",
month = "1",
day = "1",
language = "English (US)",
isbn = "9780877036456",
volume = "162",
pages = "1235--1254",
booktitle = "ASTRODYNAMICS 2017",
publisher = "Univelt Inc.",
address = "United States",

}

Spiller, D, Melton, RG & Curti, F 2018, Inverse dynamics particle swarm optimization applied to bolza problems. in ASTRODYNAMICS 2017. vol. 162, Univelt Inc., pp. 1235-1254, AAS/AIAA Astrodynamics Specialist Conference, 2017, Stevenson, United States, 8/20/17.

Inverse dynamics particle swarm optimization applied to bolza problems. / Spiller, Dario; Melton, Robert Graham; Curti, Fabio.

ASTRODYNAMICS 2017. Vol. 162 Univelt Inc., 2018. p. 1235-1254.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Inverse dynamics particle swarm optimization applied to bolza problems

AU - Spiller, Dario

AU - Melton, Robert Graham

AU - Curti, Fabio

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The Inverse-dynamics Particle Swarm Optimization has already been successfully applied to several minimum-time problems. This numerical technique based on swarm intelligence is applied to solve optimal control problems formulated with the differentially flat approach. The advantages of this method lie in the global search ability of the optimizer and the reduction of the independent functions due to the exploitation of the differential flatness. However, it is known that optimal control problems formulated with either differential inclusion or differential flatness can lead to nonconvex problems with undesirable numerical properties. This paper in intended to show that, considering difficult problems with nonconvex state constraints and nonconvex cost functions, the proposed numerical technique can lead to satisfactory near-optimal solutions. Minimum-time, minimum-energy and minimum-effort maneuvers are addressed considering a constrained slew-maneuver as a test case.

AB - The Inverse-dynamics Particle Swarm Optimization has already been successfully applied to several minimum-time problems. This numerical technique based on swarm intelligence is applied to solve optimal control problems formulated with the differentially flat approach. The advantages of this method lie in the global search ability of the optimizer and the reduction of the independent functions due to the exploitation of the differential flatness. However, it is known that optimal control problems formulated with either differential inclusion or differential flatness can lead to nonconvex problems with undesirable numerical properties. This paper in intended to show that, considering difficult problems with nonconvex state constraints and nonconvex cost functions, the proposed numerical technique can lead to satisfactory near-optimal solutions. Minimum-time, minimum-energy and minimum-effort maneuvers are addressed considering a constrained slew-maneuver as a test case.

UR - http://www.scopus.com/inward/record.url?scp=85049366826&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049366826&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85049366826

SN - 9780877036456

VL - 162

SP - 1235

EP - 1254

BT - ASTRODYNAMICS 2017

PB - Univelt Inc.

ER -

Spiller D, Melton RG, Curti F. Inverse dynamics particle swarm optimization applied to bolza problems. In ASTRODYNAMICS 2017. Vol. 162. Univelt Inc. 2018. p. 1235-1254