Frequency interval balanced truncation of discrete time bilinear systems

Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Shaker, Hamid Reza and Togneri, Roberto (2016) Frequency interval balanced truncation of discrete time bilinear systems. Cogent Engineering, 3 (1). pp. 1203082-1. ISSN 2331-1916

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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 a part of the balanced truncation framework are provided to demonstrate the performance of the proposed method.

Item Type:	Article (Journal)
Additional Information:	7813/57732
Uncontrolled Keywords:	model reduction; bilinear systems; balanced truncation; frequency interval gramians; finite frequency interval
Subjects:	T Technology > TJ Mechanical engineering and machinery > TJ212 Control engineering
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering
Depositing User:	Dr Ahmad Jazlan Haja Mohideen
Date Deposited:	27 Jul 2017 10:14
Last Modified:	05 May 2018 13:34
URI:	http://irep.iium.edu.my/id/eprint/57732

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