## Abstract

This paper extends the result of [16] to a general H^{∞} control problem which only requires the stabilizing assumption on the generalized plant. By introducing coprime factors of the plant, the necessary and sufficient conditions for the existence of a sub-optimal solution are derived completely in the transfer function domain. The solution is obtained via finding a J-contractive and a J-expansive numerator, respectively, of two associated factorizations; this is equivalent to the existence of positive definite solutions of two corresponding Riccati inequalities in the state-space. The aim of the present paper provides a linkage between J-contractive factorizations and linear matrix inequalities, and an explicit state-space formula for constructing H^{∞} controllers.

Original language | English |
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Pages | 1376-1381 |

Number of pages | 6 |

Publication status | Published - 1996 Dec 1 |

Event | Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) - Taipei, Taiwan Duration: 1996 Aug 5 → 1996 Aug 10 |

### Other

Other | Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) |
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City | Taipei, Taiwan |

Period | 96-08-05 → 96-08-10 |

## All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Electrical and Electronic Engineering