Multiobjective state-feedback-control design with non-common LMI solutions: Change of variables via affine functions

Y. Ebihara, T. Hagiwara, T. Shimomura

Research output: Contribution to journalConference article

10 Citations (Scopus)

Abstract

This paper presents a new approach with non-common linear matrix inequality (LMI) solutions to the multiobjective state-feedback control design problem. A conventional approach is adopting common LMI solutions to avoid a difficulty of non-convex constraints at the sacrifice of conservatism. To get around the conservatism, in this paper, we perform a standard procedure called change of variables and represent the resulting variables as a set of affine functions of new variables. These affine functions are such that they satisfy the non-convex constraints regardless of the new variables. With these affine functions, we readily derive a set of LMI conditions that allow non-common LMI solutions.

Original languageEnglish
Pages (from-to)848-853
Number of pages6
JournalProceedings of the American Control Conference
Volume2
Publication statusPublished - Jan 1 2001
Externally publishedYes
Event2001 American Control Conference - Arlington, VA, United States
Duration: Jun 25 2001Jun 27 2001

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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