### Abstract

In this paper, tradeoffs between stability margin and performance are considered. Maximum improvement in an approximate measure of stability margin is achieved at the expense of a prescribed increase in the quadratic cost functional measuring system performance. To attain an analytical solution to this fundamental tradeoff problem, the approximate measure of stability margin chosen is also a quadratic cost function. A novel approach is introduced which allows structured perturbations in the coprime polynomial matrix fraction description of the plant transfer matrix to be taken into account.

Original language | English (US) |
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Title of host publication | Proceedings of the American Control Conference |

Pages | 982-987 |

Number of pages | 6 |

Volume | 1 |

State | Published - 1995 |

Event | Proceedings of the 1995 American Control Conference. Part 1 (of 6) - Seattle, WA, USA Duration: Jun 21 1995 → Jun 23 1995 |

### Other

Other | Proceedings of the 1995 American Control Conference. Part 1 (of 6) |
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City | Seattle, WA, USA |

Period | 6/21/95 → 6/23/95 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*Proceedings of the American Control Conference*(Vol. 1, pp. 982-987)

**Wiener-Hopf approach to tradeoffs between stability margin and performance in two and three-degree-of-freedom multivariable control systems.** / Bongiorno, J. J.; Khorrami, Farshad; Lin, T. C.

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

*Proceedings of the American Control Conference.*vol. 1, pp. 982-987, Proceedings of the 1995 American Control Conference. Part 1 (of 6), Seattle, WA, USA, 6/21/95.

}

TY - GEN

T1 - Wiener-Hopf approach to tradeoffs between stability margin and performance in two and three-degree-of-freedom multivariable control systems

AU - Bongiorno, J. J.

AU - Khorrami, Farshad

AU - Lin, T. C.

PY - 1995

Y1 - 1995

N2 - In this paper, tradeoffs between stability margin and performance are considered. Maximum improvement in an approximate measure of stability margin is achieved at the expense of a prescribed increase in the quadratic cost functional measuring system performance. To attain an analytical solution to this fundamental tradeoff problem, the approximate measure of stability margin chosen is also a quadratic cost function. A novel approach is introduced which allows structured perturbations in the coprime polynomial matrix fraction description of the plant transfer matrix to be taken into account.

AB - In this paper, tradeoffs between stability margin and performance are considered. Maximum improvement in an approximate measure of stability margin is achieved at the expense of a prescribed increase in the quadratic cost functional measuring system performance. To attain an analytical solution to this fundamental tradeoff problem, the approximate measure of stability margin chosen is also a quadratic cost function. A novel approach is introduced which allows structured perturbations in the coprime polynomial matrix fraction description of the plant transfer matrix to be taken into account.

UR - http://www.scopus.com/inward/record.url?scp=0029179711&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029179711&partnerID=8YFLogxK

M3 - Conference contribution

VL - 1

SP - 982

EP - 987

BT - Proceedings of the American Control Conference

ER -