2011•Unpublished venueRequires access

Model reduction of linear interval systems using Kharitonov's polynomials

Nidumolu Vijaya Anand, Mangipudi Siva Kumar, R. Srinivas Rao

Open publisher page 7 citations

Abstract

This paper describes a technique to obtain a stable lower order Interval model from its stable higher order interval plant. The reduced order interval numerator and denominator polynomials are determined by using Kharitonov's theorem and Routh Approximation Method. The algorithm is simple, rugged and generates stable reduced order interval model for stable original high order interval plants. A numerical example illustrates the effectiveness of proposed algorithm.

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What this paper is about

This paper describes a technique to obtain a stable lower order Interval model from its stable higher order interval plant. The reduced order interval numerator and denominator polynomials are determined by using Kharitonov's theorem and Routh Approximation Method. The algorithm is simple, rugged and generates stable reduced order interval model for stable original high order interval plants. A numerical example illustrates the effectiveness of proposed algorithm.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper describes a technique to obtain a stable lower order Interval model from its stable higher order interval plant. The reduced order interval numerator and denominator polynomials are determined by using Kharitonov's theorem and Routh Approximation Method. The algorithm is simple, rugged and generates stable reduced order interval model for stable original high order interval plants. A numerical example illustrates the effectiveness of proposed algorithm.

Key concepts: Interval (graph theory), Mathematics, Kharitonov's theorem, Routh–Hurwitz stability criterion, Applied mathematics, Simple (philosophy), Stability (learning theory), Order (exchange)

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