Model reduction of linear interval systems using Kharitonov's polynomials
Nidumolu Vijaya Anand, Mangipudi Siva Kumar, R. Srinivas Rao
Abstract
Nidumolu Vijaya Anand, Mangipudi Siva Kumar, R. Srinivas Rao
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.
OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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)