### 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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Pages (from-to) | 2202-2203 |

Number of pages | 2 |

Journal | Proceedings of the American Control Conference |

Volume | 3 |

Publication status | Published - 2002 Jan 1 |

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

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

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## Cite this

Zhai, G., Tamaoki, K., & Murao, S. (2002). Low-order H

_{∞}controller design for discrete-time linear systems.*Proceedings of the American Control Conference*,*3*, 2202-2203.