### Abstract

This paper considers the problem of designing near-optimal finite-dimensional compensators for stable multiple-input multiple-output (MIMO) infinite-dimensional plants. Two measures of optimality are used. First, we consider a weighted H
^{∞} mixed-sensitivity measure which penalizes the control. Then we consider a standard weighted sensitivity measure. Controllers are generated by solving a 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 in the case of the mixed-sensitivity measure. Moreover, it is shown how the optimal performance may be estimated to any desired degree of accuracy by solving a finite-dimensional problem base on a suitable finite-dimensional approximant. For the sensitivity measure, convergence is proved but a priori conditions on the approximants are not presented in this note.

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

Publisher | IEEE |

Pages | 4169-4174 |

Number of pages | 6 |

Volume | 4 |

State | Published - 1995 |

Event | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995 |

### Other

Other | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) |
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City | New Orleans, LA, USA |

Period | 12/13/95 → 12/15/95 |

### ASJC Scopus subject areas

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

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## Cite this

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

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 4, pp. 4169-4174). IEEE.