Weighted optimization for multiobjective full-information control problems

Sundeep Rangan, K. Poolla

Research output: Contribution to journalArticle

Abstract

We consider a nonlinear multiobjective 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 mild 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.

Original languageEnglish (US)
Pages (from-to)207-213
Number of pages7
JournalSystems and Control Letters
Volume31
Issue number4
StatePublished - Sep 1997

Fingerprint

Controllers

Keywords

  • ℋ control
  • Dynamic programming
  • Minimax optimization
  • Multiobjective optimization
  • Weighted optimization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

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

In: Systems and Control Letters, Vol. 31, No. 4, 09.1997, p. 207-213.

Research output: Contribution to journalArticle

@article{9cc89b25ef124efcbbe4fa965b1c56ad,
title = "Weighted optimization for multiobjective full-information control problems",
abstract = "We consider a nonlinear multiobjective 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 mild 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.",
keywords = "ℋ control, Dynamic programming, Minimax optimization, Multiobjective optimization, Weighted optimization",
author = "Sundeep Rangan and K. Poolla",
year = "1997",
month = "9",
language = "English (US)",
volume = "31",
pages = "207--213",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

T1 - Weighted optimization for multiobjective full-information control problems

AU - Rangan, Sundeep

AU - Poolla, K.

PY - 1997/9

Y1 - 1997/9

N2 - We consider a nonlinear multiobjective 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 mild 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.

AB - We consider a nonlinear multiobjective 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 mild 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.

KW - ℋ control

KW - Dynamic programming

KW - Minimax optimization

KW - Multiobjective optimization

KW - Weighted optimization

UR - http://www.scopus.com/inward/record.url?scp=0038536215&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038536215&partnerID=8YFLogxK

M3 - Article

VL - 31

SP - 207

EP - 213

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 4

ER -