Robust minimum variance controller using over-parameterized controller

M. M. Al-Imam, Mohd. Marzuki Mustafa

Research output: Contribution to journalArticle

Abstract

In this article, a robust, stable and fast calculable controller that reduces the variance to the minimum for minimal and non-minimal phase Linear Time Invariant (LTI) system is proposed. The calculation is based on an algorithm that overcomes the complexity of conventional methods. The algorithm utilizes Diophantine Equation to obtain over-parameterized transfer function polynomial forms that contribute to the variance reduction. It analytically proves that increasing the order of the parameterized controller's coefficients makes the variance converge to the minimum, while maintaining the same simplicity of calculation. Simulated examples for different LTI models support our findings.

Original languageEnglish
Pages (from-to)11-18
Number of pages8
JournalJournal of Engineering and Applied Sciences
Volume4
Issue number10
Publication statusPublished - Dec 2009

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Controllers
Transfer functions
Polynomials

Keywords

  • Output variance
  • Over-parameterization
  • Pole-placement.

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Robust minimum variance controller using over-parameterized controller. / Al-Imam, M. M.; Mustafa, Mohd. Marzuki.

In: Journal of Engineering and Applied Sciences, Vol. 4, No. 10, 12.2009, p. 11-18.

Research output: Contribution to journalArticle

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