Linear-Programming-Based Decentralized Stabilizing Controller Synthesis for Interconnected Positive Systems and its Optimality Property

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

This study is concerned with decentralized stabilizing controller synthesis problem for interconnected systems constructed from positive subsystems. The main issue is how to design a controller for each subsystem locally so that positivity and stability of the overall interconnected system can be attained. Under a specific interconnection structure, the author has already shown that such a controller can be designed locally without any information about the rest of the positive subsystems. Namely, under the specific interconnection structure, we can reduce the original problem into a set of L-1- induced-norm optimal controller synthesis problems for subsystems each of which can be solved indeed locally via linear programming. On the basis of these preceding results, in this study, we show an optimality property of such local L-1 -induced-norm optimal controllers in a global sense. More precisely, we prove that the set of L-1 -induced-norm optimal controllers is indeed globally optimal in the sense that it minimizes the abscissa of the coefficient matrix of the overall interconnected closed-loop system.

本文言語英語
ホスト出版物のタイトル2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
出版社Institute of Electrical and Electronics Engineers Inc.
ページ1322-1327
ページ数6
ISBN(電子版)9784907764609
DOI
出版ステータス出版済み - 10 15 2018
外部発表はい
イベント57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018 - Nara, 日本
継続期間: 9 11 20189 14 2018

出版物シリーズ

名前2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018

会議

会議57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
Country日本
CityNara
Period9/11/189/14/18

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Instrumentation

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