## Abstract

Is solving a single Diophantine equation sufficient for synthesizing a polynomial discrete-time single-input-single-output (SISO) H_{∞} controller? This has been a longstanding question practically important due to the pervasive use of the polynomial-based discrete-time SISO self-tuners. The present work gives the answer to this question through the development of a novel polynomial algebra based reduction methodology. This reduction technique is also applied to the discrete-time SISO polynomial H_{2} controller computation.

Original language | English (US) |
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Pages (from-to) | 3446-3451 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 3 |

State | Published - Dec 1 2002 |

Event | 41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: Dec 10 2002 → Dec 13 2002 |

## ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

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