Computation of optimal controls for non-linear distributed-parameter systems using multivariate spline functions

A computational technique is developed for the solution of optimal control problems for distributed-parameter systems. The method involves an expansion of the state variables in terms of multivariate spline basis functions. The optimal control problem is thereby reduced to a finite-dimensional const...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of systems science Jg. 9; H. 12; S. 1387 - 1395
Hauptverfasser: CHOU, F. S., SIRISENA, H. R.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Taylor & Francis Group 01.12.1978
ISSN:0020-7721, 1464-5319
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract A computational technique is developed for the solution of optimal control problems for distributed-parameter systems. The method involves an expansion of the state variables in terms of multivariate spline basis functions. The optimal control problem is thereby reduced to a finite-dimensional constrained minimization problem that may be solved numerically using standard algorithms. Unlike in previous approaches, the system partial differential equations are satisfied exactly at every stage of the computation without, however, explicitly solving them. This feature results in both a decreased computational load and an increased solution accuracy. A numerical example is presented.
AbstractList A computational technique is developed for the solution of optimal control problems for distributed-parameter systems. The method involves an expansion of the state variables in terms of multivariate spline basis functions. The optimal control problem is thereby reduced to a finite-dimensional constrained minimization problem that may be solved numerically using standard algorithms. Unlike in previous approaches, the system partial differential equations are satisfied exactly at every stage of the computation without, however, explicitly solving them. This feature results in both a decreased computational load and an increased solution accuracy. A numerical example is presented.
Author CHOU, F. S.
SIRISENA, H. R.
Author_xml – sequence: 1
  givenname: F. S.
  surname: CHOU
  fullname: CHOU, F. S.
  organization: Department of Electrical Engineering , University of Canterbury
– sequence: 2
  givenname: H. R.
  surname: SIRISENA
  fullname: SIRISENA, H. R.
  organization: Department of Electrical Engineering , University of Canterbury
BookMark eNp9kE1LxDAQhoOs4O7qD_CWP1CdZJsmBS-y-AULXvRc0nxIJE1Kkir77-2ynhQ9zcDMM8P7rNAixGAQuiRwRUDANQAFzikXINqacMFO0JLUTV2xDWkXaHmYV_MCOUOrnN8BgDEKSzRu4zBORRYXA44Wx7G4QXqsYigp-oxtTHj-VXkXjExYu1yS66didDXKJAdTTMJ5n4sZMp6yC294mHxxHzI5WQzO44HEdgrq8COfo1MrfTYX33WNXu_vXraP1e754Wl7u6sUJaRU1rZCtn1jRSO4JlSLuldKG6oaYRjpWwpQM-AtKN0aodkce240Z7QHW8vNGvHjXZVizsnYTrljzJKk8x2B7iCu-yVuJskPckyzk7T_l7k5Mi7Mwgb5GZPXXZF7H5NNMiiXu83f-BfZzYgB
CitedBy_id crossref_primary_10_1080_00207728608926817
crossref_primary_10_1080_00207728108963749
crossref_primary_10_1007_BF03191123
Cites_doi 10.1080/00207177308932558
10.1021/i160033a009
10.1080/00207176608921418
10.1090/qam/16705
10.1080/00207177208932159
10.1049/piee.1970.0267
10.1007/BF02788653
10.1021/i160025a024
10.1080/00207177308932601
10.1137/0710006
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 1978
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 1978
DBID AAYXX
CITATION
DOI 10.1080/00207727808941785
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1464-5319
EndPage 1395
ExternalDocumentID 10_1080_00207727808941785
8941785
GroupedDBID -~X
.DC
07I
0R~
1TA
4.4
4B5
5GY
5VS
8VB
AAYJJ
ABJNI
ACGEJ
ACGFS
ACNCT
ADCVX
ADXEU
ADXPE
AEHZU
AENEX
AEPSL
AEYOC
AEZBV
AFFNX
AFION
AGBLW
AGYFW
AKHJE
AKMBP
ALMA_UNASSIGNED_HOLDINGS
ALXIB
AQTUD
AWYRJ
BGSSV
C0-
C5H
CS3
DEXXA
DU5
EBS
EJD
F5P
FETWF
H13
HZ~
IFELN
L8C
MS~
NA5
NUSFT
NX~
O9-
P2P
QWB
T9H
TAJZE
TAP
TDBHL
TFL
TFW
UB6
ZL0
ZXP
~02
.7F
.QJ
0BK
29J
30N
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
AAYXX
ABCCY
ABFIM
ABHAV
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACTIO
ACTTO
ADGTB
ADUMR
AEISY
AEOZL
AFBWG
AFKVX
AFRVT
AGBKS
AGDLA
AGMYJ
AGVKY
AGWUF
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALQZU
ALRRR
AQRUH
AVBZW
BLEHA
BWMZZ
CAG
CCCUG
CE4
CITATION
COF
CYRSC
DAOYK
DGEBU
DKSSO
E~A
E~B
GTTXZ
HF~
H~P
IPNFZ
J.P
KYCEM
LJTGL
M4Z
OPCYK
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TEN
TFT
TNC
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
~S~
ID FETCH-LOGICAL-c211t-ff98a9b6f8687d12d84bccde2c68e51b9200450790cd9e8d5894d9ed752b0f4a3
IEDL.DBID TFW
ISSN 0020-7721
IngestDate Sat Nov 29 04:39:26 EST 2025
Tue Nov 18 21:50:38 EST 2025
Mon Oct 20 23:44:01 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 12
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c211t-ff98a9b6f8687d12d84bccde2c68e51b9200450790cd9e8d5894d9ed752b0f4a3
PageCount 9
ParticipantIDs crossref_citationtrail_10_1080_00207727808941785
informaworld_taylorfrancis_310_1080_00207727808941785
crossref_primary_10_1080_00207727808941785
PublicationCentury 1900
PublicationDate 12/1/1978
PublicationDateYYYYMMDD 1978-12-01
PublicationDate_xml – month: 12
  year: 1978
  text: 12/1/1978
  day: 01
PublicationDecade 1970
PublicationTitle International journal of systems science
PublicationYear 1978
Publisher Taylor & Francis Group
Publisher_xml – name: Taylor & Francis Group
References BUTKOVSKY A. G. (CIT0002) 1969
CURRY H. B. (CIT0005) 1966; 17
LYNN L. L. (CIT0009) 1970; 9
PRABHU S. S. (CIT0011) 1970; 117
DENN M. M. (CIT0006) 1966; 4
SAGE A. P. (CIT0012) 1968
HOLLIDAY J. H. (CIT0008) 1973; 18
STROUD A. H. (CIT0014) 1971
CHAUDHURI S. P. (CIT0003) 1972; 15
SCHOENBERG I. J. (CIT0013) 1946; 4
GOLDFARB D. (CIT0007) 1968; 7
BOSARGE W. E. (CIT0001) 1973; 10
NEUMAN C. P. (CIT0010) 1973; 6
References_xml – volume: 18
  start-page: 817
  year: 1973
  ident: CIT0008
  publication-title: Int. J. Control
  doi: 10.1080/00207177308932558
– volume: 9
  start-page: 58.
  year: 1970
  ident: CIT0009
  publication-title: Ind. Engng Chem.Fundam.
  doi: 10.1021/i160033a009
– volume: 4
  start-page: 167
  year: 1966
  ident: CIT0006
  publication-title: Int. J. Control
  doi: 10.1080/00207176608921418
– volume: 4
  start-page: 112
  issue: 45
  year: 1946
  ident: CIT0013
  publication-title: Q. appl. Math.
  doi: 10.1090/qam/16705
– volume-title: Distributed Control Systems
  year: 1969
  ident: CIT0002
– volume: 15
  start-page: 419
  year: 1972
  ident: CIT0003
  publication-title: Int. J. Control
  doi: 10.1080/00207177208932159
– volume: 117
  start-page: 1398
  year: 1970
  ident: CIT0011
  publication-title: Proc. Instn elect. Engrs
  doi: 10.1049/piee.1970.0267
– volume: 17
  start-page: 71
  year: 1966
  ident: CIT0005
  publication-title: J. Analyse math.
  doi: 10.1007/BF02788653
– volume: 7
  start-page: 142
  year: 1968
  ident: CIT0007
  publication-title: Ind. Engng Chem. Fundam.
  doi: 10.1021/i160025a024
– volume: 6
  start-page: 1291
  year: 1973
  ident: CIT0010
  publication-title: Int. J. Control
  doi: 10.1080/00207177308932601
– volume: 10
  start-page: 35
  year: 1973
  ident: CIT0001
  publication-title: SI AM J. numer. Analysis
  doi: 10.1137/0710006
– volume-title: Optimum Systems Control
  year: 1968
  ident: CIT0012
– volume-title: Approximate Calculation of Multiple Integrals
  year: 1971
  ident: CIT0014
SSID ssj0005520
Score 1.2357417
Snippet A computational technique is developed for the solution of optimal control problems for distributed-parameter systems. The method involves an expansion of the...
SourceID crossref
informaworld
SourceType Enrichment Source
Index Database
Publisher
StartPage 1387
Title Computation of optimal controls for non-linear distributed-parameter systems using multivariate spline functions
URI https://www.tandfonline.com/doi/abs/10.1080/00207727808941785
Volume 9
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor & Francis Journals Complete
  customDbUrl:
  eissn: 1464-5319
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0005520
  issn: 0020-7721
  databaseCode: TFW
  dateStart: 19701001
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELZQxQADb0R5yQMTkiUnzcMeEaJiQBVDgW6V7bMREn2oCf393CVpKQgYYMvgSxz7fA_783eMXVifxTZLcgGZtCIB44SOYxDo3F2whG6qNnMe7_JeTw0G-r7B5hQNrJJy6FATRVS2mha3scUCEUc3uCUGhbmSSidUXR4tMEb1BOjrd58-AB5pQ8qICRI2jxZnmt-94ZNX-sRZuuJtutv_7OcO22rCTH5V68UuW_PjPba5Qj64z6Z1QYdqZvgk8AkajxHKNOD1gmPv-HgyFvRlM-NAFLtUHcuDIMLwEQFpeM0EXXDCzz_zCp44x_QbI1he0GVfz8lzVsp9wB66N_3rW9HUXxAO08JShKCV0TYLKlM5RDGoxDoHPnaZ8mlkNa0wjCe1dKC9ghR_Ex8gT2MrQ2I6h6yF3fRHjEuyC7kEMDpJpMHJQi0woMGDjYJO20wuxn_oGnJyqpHxOoyWHKZfBrPNLpci05qZ47fG6eqkDstqOyTUtUuGnR_ljv8od8I2oio_J9zLKWuVszd_xtbdvHwpZueVnr4DNKXn2w
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagIAEDb0R5emBCsuSkTmKPCFEVUSqGAt2i-IWQ6ENN6O_H56SlRcAAWwZf4uTOvkc-f4fQhTRxKGOWEB1TSZjOFBFhqIlz7spKQDf5Ys5TO-l0eK8nHqqCW17BKiGHtiVRhN-rYXFDMXoKiYMj3NRFhQmnXDBoL7-MViLnZ8HOu83nT4hHVNEyuhTJjQ-mfzW_u8WCX1pgLZ3zN82t_850G21WkSa-Kk1jBy2ZwS7amOMf3EOjsqeDVw4eWjx0-0ffyVT49Ry76eHBcEDg0dkYa2DZhQZZRhPgDO8DlgaXZNA5Bgj9C_YIxYnLwF0Qi3M472swOE9v3_vosXnTvW6RqgUDUS4zLIi1gmdCxpbHPNFBqDmTSmkTqpibKJACFpkLKQVVWhiuI_ea7kInUSipZVnjANXcNM0hwhS2hoRqnQnGaMY4GEKmhTZaBlZEdUSnCkhVxU8ObTLe0mBGY_rlY9bR5UxkVJJz_DY4mtdqWviKiC3bl6SNH-WO_ih3jtZa3ft22r7t3B2j9cCn6wCDOUG1YvxuTtGqmhSv-fjMG-0Hxsvr-w
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagIAQDb0R5emBCsuSkedgjAioQVdWhQLco9tkIiT7UhP5-fElaWgQMsGXwJY59vof9-TtCLpSJfBUFMYOIKxZAqpn0fWDOuWurEN1UbOY8teJ2W_R6slNhc7IKVok5tC2JIgpbjYt7BHaKiMMb3NwFhbHgQgZYXX6ZrLiwOUJEX7f5_InwCCtWRpchufbe9FDzu1csuKUF0tI5d9Pc-mdHt8lmFWfSq1IxdsiSGeySjTn2wT0yKis6FFNDh5YOnfXoO5kKvZ5R1zs6GA4YfjkdU0COXSyPZYAhY3gfkTS0pILOKALoX2iBT5y4_NuFsDTD276GousstHufPDZvu9d3rCrAwLTLC3NmrRSpVJEVkYjB80EESmswvo6ECT0lcYm5gFJyDdIICN1vugeIQ19xG6SNA1Jz3TSHhHI0DDEHSGUQ8DQQqAYpSDCgPCvDOuHT8U90xU6ORTLeEm9GYvplMOvkciYyKqk5fmsczk9qkhf7IbYsXpI0fpQ7-qPcOVnr3DST1n374Zise0WujhiYE1LLx-_mlKzqSf6ajc8Klf0AFFvqrQ
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Computation+of+optimal+controls+for+non-linear+distributed-parameter+systems+using+multivariate+spline+functions&rft.jtitle=International+journal+of+systems+science&rft.au=CHOU%2C+F.+S.&rft.au=SIRISENA%2C+H.+R.&rft.date=1978-12-01&rft.issn=0020-7721&rft.eissn=1464-5319&rft.volume=9&rft.issue=12&rft.spage=1387&rft.epage=1395&rft_id=info:doi/10.1080%2F00207727808941785&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_00207727808941785
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7721&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7721&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7721&client=summon