### 抜粋

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.

元の言語 | English |
---|---|

ページ（範囲） | 505-520 |

ページ数 | 16 |

ジャーナル | Kybernetika |

巻 | 37 |

発行部数 | 4 |

出版物ステータス | Published - 2001 |

### ASJC Scopus subject areas

- Human-Computer Interaction
- Control and Systems Engineering

## フィンガープリント Infinite-dimensional LMI approach to analysis and synthesis for linear time-delay systems' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Kybernetika*,

*37*(4), 505-520.