Journal:Journal of the Franklin Institute
Abstract:In this paper, the moment-matching model reduction problem for negative imaginary systems is considered. For a given negative imaginary system with poles at the origin, our goal is to find a reduced-order negative imaginary system such that a prescribed number of the moments and the poles at the origin are preserved. Firstly, the original negative imaginary system is split into an asymptotically stable sub-system, a lossless negative imaginary subsystem, and an average subsystem. Then, moment-matching model reduction is implemented on the asymptotically stable subsystem and the lossless negative imaginary subsystem. The resulting reduced-order system preserves the negative imaginary structure and the poles at the origin. Also, the proposed model reduction method is extended to the positive real systems. Numerical examples demonstrate the effectiveness of the proposed model reduction method.
First Author:余兰林
Indexed by:Journal paper
Correspondence Author:熊军林
Discipline:Engineering
Document Type:J
Translation or Not:no
Date of Publication:2019-01-17
Included Journals:SCI