### Abstract

We consider the problem of designing optimal distributed controllers whose impulse response has limited propagation speed. We introduce a state-space framework in which such controllers can be described. We show that the optimal control problem is not convex with respect to certain state-space design parameters, and demonstrate a reasonable relaxation that renders the problem convex. This relaxation is associated with an iterative numerical scheme known as the Steiglitz-McBride (SM) algorithm. We improve the SM algorithm by using the algebraic Lyapunov equation to relieve time integration, thus significantly reducing computational costs.

Original language | English (US) |
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Title of host publication | Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 |

Pages | 5488-5493 |

Number of pages | 6 |

DOIs | |

State | Published - Dec 1 2008 |

Event | 47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: Dec 9 2008 → Dec 11 2008 |

### Publication series

Name | Proceedings of the IEEE Conference on Decision and Control |
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ISSN (Print) | 0191-2216 |

### Other

Other | 47th IEEE Conference on Decision and Control, CDC 2008 |
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Country | Mexico |

City | Cancun |

Period | 12/9/08 → 12/11/08 |

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

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## Cite this

*Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008*(pp. 5488-5493). [4739424] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2008.4739424