Weighted optimization for multiobjective full-information control problems

Sundeep Rangan, Kameshwar Poolla

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

Abstract

We consider a nonlinear multiobjective full-information optimal control problem, where a controller is to be designed such that a number of constraints are to be satisfied for all possible disturbances. We show that, under certain continuity assumptions, such a controller exists if and only if, for every weighted combination of the constraints, there exists a controller satisfying the weighted constraint. Our analysis is based extensively on nonlinear H dynamic programming methods.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages289-294
Number of pages6
Volume1
StatePublished - 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997

Other

OtherProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5)
CitySan Diego, CA, USA
Period12/10/9712/12/97

Fingerprint

Controllers
Dynamic programming

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Rangan, S., & Poolla, K. (1997). Weighted optimization for multiobjective full-information control problems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 289-294). IEEE.

Weighted optimization for multiobjective full-information control problems. / Rangan, Sundeep; Poolla, Kameshwar.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1 IEEE, 1997. p. 289-294.

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

Rangan, S & Poolla, K 1997, Weighted optimization for multiobjective full-information control problems. in Proceedings of the IEEE Conference on Decision and Control. vol. 1, IEEE, pp. 289-294, Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5), San Diego, CA, USA, 12/10/97.
Rangan S, Poolla K. Weighted optimization for multiobjective full-information control problems. In Proceedings of the IEEE Conference on Decision and Control. Vol. 1. IEEE. 1997. p. 289-294
Rangan, Sundeep ; Poolla, Kameshwar. / Weighted optimization for multiobjective full-information control problems. Proceedings of the IEEE Conference on Decision and Control. Vol. 1 IEEE, 1997. pp. 289-294
@inproceedings{4cf9b4b12a074e10ac72fc0bd091979a,
title = "Weighted optimization for multiobjective full-information control problems",
abstract = "We consider a nonlinear multiobjective full-information optimal control problem, where a controller is to be designed such that a number of constraints are to be satisfied for all possible disturbances. We show that, under certain continuity assumptions, such a controller exists if and only if, for every weighted combination of the constraints, there exists a controller satisfying the weighted constraint. Our analysis is based extensively on nonlinear H∞ dynamic programming methods.",
author = "Sundeep Rangan and Kameshwar Poolla",
year = "1997",
language = "English (US)",
volume = "1",
pages = "289--294",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "IEEE",

}

TY - GEN

T1 - Weighted optimization for multiobjective full-information control problems

AU - Rangan, Sundeep

AU - Poolla, Kameshwar

PY - 1997

Y1 - 1997

N2 - We consider a nonlinear multiobjective full-information optimal control problem, where a controller is to be designed such that a number of constraints are to be satisfied for all possible disturbances. We show that, under certain continuity assumptions, such a controller exists if and only if, for every weighted combination of the constraints, there exists a controller satisfying the weighted constraint. Our analysis is based extensively on nonlinear H∞ dynamic programming methods.

AB - We consider a nonlinear multiobjective full-information optimal control problem, where a controller is to be designed such that a number of constraints are to be satisfied for all possible disturbances. We show that, under certain continuity assumptions, such a controller exists if and only if, for every weighted combination of the constraints, there exists a controller satisfying the weighted constraint. Our analysis is based extensively on nonlinear H∞ dynamic programming methods.

UR - http://www.scopus.com/inward/record.url?scp=0031344527&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031344527&partnerID=8YFLogxK

M3 - Conference contribution

VL - 1

SP - 289

EP - 294

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -