### 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 |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Editors | Anon |

Volume | 1 |

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 |

### Other

Other | Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) |
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City | Kobe, Jpn |

Period | 96/12/11 → 96/12/13 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

_{∞}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*(Vol. 1)

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

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

_{∞}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.*vol. 1, Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4), Kobe, Jpn, 96/12/11.

_{∞}controller design for large-scale systems: a matrix inequality approach using a homotopy method. In Anon, editor, Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 1996

}

TY - GEN

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

T2 - a matrix inequality approach using a homotopy method

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 - Conference contribution

VL - 1

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

ER -