### Abstract

We consider the H
_{∞} control problem for discrete-time linear systems via low-order dynamic output feedback controllers. The existence condition of desirable controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix variable defining the controller and a Lyapunov matrix variable. To solve the BMI, we propose two sufficient conditions which result in LMIs, by using a block diagonal structure of the Lyapunov matrix variable.

Original language | English |
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Title of host publication | Proceedings of the American Control Conference |

Pages | 2202-2203 |

Number of pages | 2 |

Volume | 3 |

Publication status | Published - 2002 |

Externally published | Yes |

Event | 2002 American Control Conference - Anchorage, AK, United States Duration: 2002 May 8 → 2002 May 10 |

### Other

Other | 2002 American Control Conference |
---|---|

Country | United States |

City | Anchorage, AK |

Period | 02/5/8 → 02/5/10 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

_{∞}controller design for discrete-time linear systems In

*Proceedings of the American Control Conference*(Vol. 3, pp. 2202-2203)

**Low-order H
_{∞} controller design for discrete-time linear systems
.** / Zhai, Guisheng; Tamaoki, Kenzou; Murao, Shinichi.

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

_{∞}controller design for discrete-time linear systems in

*Proceedings of the American Control Conference.*vol. 3, pp. 2202-2203, 2002 American Control Conference, Anchorage, AK, United States, 02/5/8.

_{∞}controller design for discrete-time linear systems In Proceedings of the American Control Conference. Vol. 3. 2002. p. 2202-2203

}

TY - GEN

T1 - Low-order H ∞ controller design for discrete-time linear systems

AU - Zhai, Guisheng

AU - Tamaoki, Kenzou

AU - Murao, Shinichi

PY - 2002

Y1 - 2002

N2 - We consider the H ∞ control problem for discrete-time linear systems via low-order dynamic output feedback controllers. The existence condition of desirable controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix variable defining the controller and a Lyapunov matrix variable. To solve the BMI, we propose two sufficient conditions which result in LMIs, by using a block diagonal structure of the Lyapunov matrix variable.

AB - We consider the H ∞ control problem for discrete-time linear systems via low-order dynamic output feedback controllers. The existence condition of desirable controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix variable defining the controller and a Lyapunov matrix variable. To solve the BMI, we propose two sufficient conditions which result in LMIs, by using a block diagonal structure of the Lyapunov matrix variable.

UR - http://www.scopus.com/inward/record.url?scp=0036346825&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036346825&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0036346825

VL - 3

SP - 2202

EP - 2203

BT - Proceedings of the American Control Conference

ER -