### 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) |
---|---|

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) |
---|---|

City | New Orleans, LA, USA |

Period | 12/13/95 → 12/15/95 |

### Fingerprint

### ASJC Scopus subject areas

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

### 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.

**H
^{∞} sensitivity and mixed-sensitivity optimization for stable multivariable infinite-dimensional systems
.** / Rodriguez, Armando.

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

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 4, IEEE, pp. 4169-4174, Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4), New Orleans, LA, USA, 12/13/95.

^{∞}sensitivity and mixed-sensitivity optimization for stable multivariable infinite-dimensional systems In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. IEEE. 1995. p. 4169-4174

}

TY - GEN

T1 - H ∞ sensitivity and mixed-sensitivity optimization for stable multivariable infinite-dimensional systems

AU - Rodriguez, Armando

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0029514325&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029514325&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029514325

VL - 4

SP - 4169

EP - 4174

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -