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

Masao Ikeda; Guisheng Zhai; Yasumasa Fujisaki

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 proceeding › Chapter

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 language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Editors	Anon
Publication status	Published - 1996
Externally published	Yes
Event	Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn Duration: 1996 Dec 11 → 1996 Dec 13

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	1
ISSN (Print)	0191-2216

Other

Other	Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
City	Kobe, Jpn
Period	96/12/11 → 96/12/13

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Cite this

Decentralized H_∞ controller design for large-scale systems : a matrix inequality approach using a homotopy method. / Ikeda, Masao; Zhai, Guisheng; Fujisaki, Yasumasa.

Proceedings of the IEEE Conference on Decision and Control. ed. / Anon. 1996. (Proceedings of the IEEE Conference on Decision and Control; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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, Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4), Kobe, Jpn, 96/12/11.

@inbook{03b34efa251a4ebf9a86c813103a39a7,

title = "Decentralized H∞ controller design for large-scale systems: a matrix inequality approach using a homotopy method",

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.",

author = "Masao Ikeda and Guisheng Zhai and Yasumasa Fujisaki",

year = "1996",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

editor = "Anon",

booktitle = "Proceedings of the IEEE Conference on Decision and Control",

note = "Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) ; Conference date: 11-12-1996 Through 13-12-1996",

}

TY - CHAP

T1 - Decentralized H∞ controller design for large-scale systems

T2 - Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)

AU - Ikeda, Masao

AU - Zhai, Guisheng

AU - Fujisaki, Yasumasa

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030377962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030377962&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0030377962

T3 - Proceedings of the IEEE Conference on Decision and Control

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

Y2 - 11 December 1996 through 13 December 1996

ER -