### Abstract

This paper considers the problem of designing near-optimal finite-dimensional compensators for stable multiple-input multiple-output (MIMO) distributed parameter plants. A weighted H
^{∞} mixed-sensitivity measure which penalizes the control is used to define the notion of optimality. Controllers are generated by solving a `natural' finite-dimensional optimization. A priori computable conditions are given on the approximants such that the resulting finite-dimensional controllers stabilize the infinite-dimensional plant and are near-optimal. Moreover, it is shown how the optimal performance may be estimated to any desired degree of accuracy by solving a finite-dimensional problem using a suitable finite-dimensional approximant. A result on `actual' transfer function matrix convergence is also presented.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | IEEE |

Pages | 1350-1355 |

Number of pages | 6 |

Volume | 2 |

State | Published - 1994 |

Event | Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA Duration: Dec 14 1994 → Dec 16 1994 |

### Other

Other | Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) |
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City | Lake Buena Vista, FL, USA |

Period | 12/14/94 → 12/16/94 |

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

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## Cite this

^{∞}optimization for stable multivariable infinite-dimensional systems In

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 2, pp. 1350-1355). IEEE.