## Abstract

Closed-form expressions of transfer function responses are used in this paper towards model-reduction of n-th order discrete-time systems. The contribution of each eigenvalue to the output for a unit step input is evaluated, thus defining the dominant eigenvalues. The reduced-order model is set up retaining the most contributing eigenvalues, maintaining the same DC gain as the original system, but leaving other numerator coefficients to be determined. Then a cost function is formed measuring the discrete pulse response deviation between the original and the reduced-order model. The cost function is subsequently minimized, rendering new numerator coefficients for the reduced model. The resulting reduced-order model is easily computed, maintains stability for an originally stable system, and renders time responses practically identical to the original system's.

Original language | English |
---|---|

Pages (from-to) | 2584-2589 |

Number of pages | 6 |

Journal | Proceedings of the American Control Conference |

Volume | 4 |

DOIs | |

Publication status | Published - 2001 |

Event | 2001 American Control Conference - Arlington, VA, United States Duration: 25 Jun 2001 → 27 Jun 2001 |

## Other keywords

- Model reduction
- N-th order linear discrete-time systems
- Optimal zeros