Decentralized H controller design for large-scale systems: a matrix inequality approach using a homotopy method

Masao Ikeda, Guisheng Zhai, Yasumasa Fujisaki

Research output: Chapter in Book/Report/Conference proceedingChapter

17 Citations (Scopus)

Abstract

This paper considers a decentralized H control problem for large-scale systems consisting of a number of interconnected subsystems with the information structure constraints which are compatible with the subsystems. The H control specification is imposed on the transfer function from the disturbance input to the controlled output of the overall closed-loop system. The decentralized H control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI). To solve the BMI, an algorithm is proposed using the idea of the Homotopy method, where the interconnections between subsystems are increased gradually from zeros to the given magnitudes. The case where polytopic perturbations exist in the interconnections is also treated.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
Publication statusPublished - 1996 Dec 1
EventProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn
Duration: 1996 Dec 111996 Dec 13

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume1
ISSN (Print)0191-2216

Other

OtherProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
CityKobe, Jpn
Period96/12/1196/12/13

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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    Ikeda, M., Zhai, G., & Fujisaki, Y. (1996). Decentralized H controller design for large-scale systems: a matrix inequality approach using a homotopy method. In Anon (Ed.), Proceedings of the IEEE Conference on Decision and Control (Proceedings of the IEEE Conference on Decision and Control; Vol. 1).