Frequency interval balanced truncation of discrete-time bilinear systems

Ahmad Jazlan, Victor Sreeram, Hamid Reza Shaker, Roberto Togneri

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Abstract

This paper presents the development of a new model reduction method for discrete-time bilinear systems based on the balanced truncation framework. In many model reduction applications, it is advantageous to analyze the characteristics of the system with emphasis on particular frequency intervals of interest. In order to analyze the degree of controllability and observability of discrete-time bilinear systems with emphasis on particular frequency intervals of interest, new generalized frequency interval controllability and observability gramians are introduced in this paper. These gramians are the solution to a pair of new generalized Lyapunov equations. The conditions for solvability of these new generalized Lyapunov equations are derived and a numerical solution method for solving these generalized Lyapunov equations is presented. Numerical examples which illustrate the usage of the new generalized frequency interval controllability and observability gramians as part of the balanced truncation framework are provided to demonstrate the performance of the proposed method.
Original languageEnglish
Article number1203082
JournalCogent Engineering
Volume3
Issue number1
Number of pages15
ISSN2331-1916
DOIs
Publication statusPublished - 2016

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Jazlan, Ahmad ; Sreeram, Victor ; Shaker, Hamid Reza ; Togneri, Roberto . / Frequency interval balanced truncation of discrete-time bilinear systems. In: Cogent Engineering. 2016 ; Vol. 3, No. 1.
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Frequency interval balanced truncation of discrete-time bilinear systems. / Jazlan, Ahmad; Sreeram, Victor ; Shaker, Hamid Reza; Togneri, Roberto .

In: Cogent Engineering, Vol. 3, No. 1, 1203082, 2016.

Research output: Contribution to journalJournal articleResearchpeer-review

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