Impulse energy approximation of higher-order interval systems using Kharitonov's polynomials. (October 2016)

• Record Type: Journal Article
• Authors: Kumar, M. Siva; Anand, N. Vijaya; Rao, R. Srinivasa
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 38:Number 10(2016)
• Page Start: 1225
• Page End: 1235
• Publication Date: 2016-10
• Subjects: Kharitonov's theorem -- impulse response energy -- interval plant -- model order reduction -- Routh approximation; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331215583326
• Languages: English
• ISSNs: 0142-3312

Abstract

This research work proposes a method to obtain a stable reduced-order interval model from its stable higher-order interval plant. The reduced-order interval numerator and denominator polynomials are determined by using Kharitonov's polynomials and a general form of the Routh approximation method. The proposed reduction algorithm retains stability and full impulse response energy of the higher-order interval system in its reduced-order interval model. In addition to this, the proposed method has useful features like matching of time moments and mathematical simplicity. Moreover, a few numerical examples in the literature are taken into consideration and simulated through MATLAB to illustrate the effectiveness of the proposed method.