LQG control for systems with scheduling parameter

Kenko Uchida, Ryo Watanabe, Masayuki Fujita

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

Abstract

We discuss control synthesis through a quadratic performance index for linear stochastic systems with scheduling parameter, which we call LQG control synthesis for systems with scheduling parameter. First, modifying the optimal LQG control synthesis for time-varying systems such that it leads to the causal dependence on the scheduling parameter, we propose a synthesis method based on a Riccati differential inequality and a forward Riccati differential equation. Being suggested by a relation between L2 gain control for linear systems with scheduling parameter and that for linear time-varying systems, second, we propose another synthesis method based on two Riccati differential inequalities which correspond to two Riccati differential equations in the optimal LQG control synthesis for time-varying systems. To evaluate performance levels of the synthesized LQG controls, we also discuss some bounding techniques of the quadratic performance index.

Original languageEnglish
Title of host publicationEuropean Control Conference, ECC 1999 - Conference Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages367-372
Number of pages6
ISBN (Electronic)9783952417355
DOIs
Publication statusPublished - 2015 Mar 24
Event1999 European Control Conference, ECC 1999 - Karlsruhe, Germany
Duration: 1999 Aug 311999 Sep 3

Publication series

NameEuropean Control Conference, ECC 1999 - Conference Proceedings

Other

Other1999 European Control Conference, ECC 1999
CountryGermany
CityKarlsruhe
Period99/8/3199/9/3

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Uchida, K., Watanabe, R., & Fujita, M. (2015). LQG control for systems with scheduling parameter. In European Control Conference, ECC 1999 - Conference Proceedings (pp. 367-372). [7099330] (European Control Conference, ECC 1999 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.1999.7099330