## 抄録

This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of L^{2} gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known results for the cases of delay-independent/dependent and memoryless/memory controllers, while the infinity dimensionality of the LMIs makes the result difficult to apply. Second, we introduce a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs.

本文言語 | English |
---|---|

ページ（範囲） | 505-520 |

ページ数 | 16 |

ジャーナル | Kybernetika |

巻 | 37 |

号 | 4 |

出版ステータス | Published - 2001 |

## ASJC Scopus subject areas

- 人間とコンピュータの相互作用
- 制御およびシステム工学