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

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

Abstract

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.

Original languageEnglish
Title of host publication2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1322-1327
Number of pages6
ISBN (Electronic)9784907764609
DOIs
Publication statusPublished - Oct 15 2018
Externally publishedYes
Event57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018 - Nara, Japan
Duration: Sep 11 2018Sep 14 2018

Publication series

Name2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018

Conference

Conference57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018
CountryJapan
CityNara
Period9/11/189/14/18

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Instrumentation

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