### 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 |

### Fingerprint

### ASJC Scopus subject areas

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

### 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.

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

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

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 2, IEEE, pp. 1350-1355, Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4), Lake Buena Vista, FL, USA, 12/14/94.

^{∞}optimization for stable multivariable infinite-dimensional systems In Proceedings of the IEEE Conference on Decision and Control. Vol. 2. IEEE. 1994. p. 1350-1355

}

TY - GEN

T1 - H ∞ optimization for stable multivariable infinite-dimensional systems

AU - Rodriguez, Armando

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0028748913&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028748913&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 1350

EP - 1355

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -