### 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 |

Publication status | Published - 1996 Dec 1 |

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 |
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Volume | 1 |

ISSN (Print) | 0191-2216 |

### 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

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

### 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*(Proceedings of the IEEE Conference on Decision and Control; Vol. 1).