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${{H}_{\infty}}$ Model Reduction for Interval Frequency Negative Imaginary Systems.
- Source :
- IEEE Transactions on Circuits & Systems. Part I: Regular Papers; Mar2019, Vol. 66 Issue 3, p1116-1129, 14p
- Publication Year :
- 2019
-
Abstract
- This paper studies an $H_{\infty }$ model reduction problem for interval frequency negative imaginary (IFNI) systems. For a given IFNI system, our goal is to find a reduced-order IFNI system satisfying a pre-specified $H_{\infty }$ approximation error bound over the finite-frequency interval. Necessary and sufficient conditions in terms of matrix inequalities are derived for the existence and construction of an $H_{\infty }$ reduced-order IFNI system. An improved iterative algorithm is provided to solve the matrix inequalities and to minimize the $H_{\infty }$ approximation error. The proposed method is further clarified via the application to the electrical circuits, such as high-order Sallen–Key low-pass filter, piezoelectric tube scanner, and RLC circuit. The simulation results on these electrical circuits are compared with the finite-frequency interval Gramians-based model reduction method both in the frequency domain and time domain. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL models
SIMULATION methods & models
Subjects
Details
- Language :
- English
- ISSN :
- 15498328
- Volume :
- 66
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Circuits & Systems. Part I: Regular Papers
- Publication Type :
- Periodical
- Accession number :
- 134602209
- Full Text :
- https://doi.org/10.1109/TCSI.2018.2877268