An Error Bound for a Discrete Reduced Order Model of a Linear Multivariable System

Ubaid M. Al-Saggaf; Gene F. Franklin

doi:10.1109/TAC.1987.1104712

An Error Bound for a Discrete Reduced Order Model of a Linear Multivariable System

Ubaid M. Al-Saggaf
, Gene F. Franklin

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

106 Scopus citations

Abstract

The design of feasible controllers for high dimension multivariable systems can be greatly aided by a method of model reduction. In order for the design based on the order reduction to include a guarantee of stability, it is sufficient to have a bound on the model error. Previous work has provided such a bound for continuous-time systems for algorithms based on balancing. In this note an L^∞bound is derived for model error for a method of order reduction of discrete linear multivariable systems based on balancing.

Original language	English
Pages (from-to)	815-819
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	32
Issue number	9
DOIs	https://doi.org/10.1109/TAC.1987.1104712
State	Published - Sep 1987

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.1987.1104712

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An Error Bound for a Discrete Reduced Order Model of a Linear Multivariable System

Abstract

ASJC Scopus subject areas

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