Frequency-weighted balanced truncation of 2-D separable denominator discrete-time systems

Deepak Kumar, Umair Zulfiqar, Victor Sreeram

Research output: Chapter in Book/Conference paperConference paper

1 Citation (Scopus)

Abstract

A frequency-weighted balanced truncation technique for two-dimensional (2-D) separable denominator discrete-time systems is presented that is applicable with single-sided and double-sided weights. The proposed method is straightforward and efficient than the existing methods as the computation of controllability and observability Gramians doesn't require solutions of Lyapunov inequalities and iterative algorithms. The simulation results of numerical examples are given to demonstrate the effectiveness of the proposed approach.

Original languageEnglish
Title of host publicationANZCC 2018 - 2018 Australian and New Zealand Control Conference
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages377-379
Number of pages3
ISBN (Electronic)9781538666173
DOIs
Publication statusPublished - 9 Jan 2019
Event2018 Australian and New Zealand Control Conference, ANZCC 2018 - Melbourne, Australia
Duration: 7 Dec 20188 Dec 2018

Publication series

NameANZCC 2018 - 2018 Australian and New Zealand Control Conference

Conference

Conference2018 Australian and New Zealand Control Conference, ANZCC 2018
CountryAustralia
CityMelbourne
Period7/12/188/12/18

Fingerprint

Balanced Truncation
Observability
Denominator
Discrete-time Systems
Controllability
Lyapunov Inequality
Iterative Algorithm
Numerical Examples
Demonstrate
Simulation

Cite this

Kumar, D., Zulfiqar, U., & Sreeram, V. (2019). Frequency-weighted balanced truncation of 2-D separable denominator discrete-time systems. In ANZCC 2018 - 2018 Australian and New Zealand Control Conference (pp. 377-379). [8606618] (ANZCC 2018 - 2018 Australian and New Zealand Control Conference). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ANZCC.2018.8606618
Kumar, Deepak ; Zulfiqar, Umair ; Sreeram, Victor. / Frequency-weighted balanced truncation of 2-D separable denominator discrete-time systems. ANZCC 2018 - 2018 Australian and New Zealand Control Conference. IEEE, Institute of Electrical and Electronics Engineers, 2019. pp. 377-379 (ANZCC 2018 - 2018 Australian and New Zealand Control Conference).
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Kumar, D, Zulfiqar, U & Sreeram, V 2019, Frequency-weighted balanced truncation of 2-D separable denominator discrete-time systems. in ANZCC 2018 - 2018 Australian and New Zealand Control Conference., 8606618, ANZCC 2018 - 2018 Australian and New Zealand Control Conference, IEEE, Institute of Electrical and Electronics Engineers, pp. 377-379, 2018 Australian and New Zealand Control Conference, ANZCC 2018, Melbourne, Australia, 7/12/18. https://doi.org/10.1109/ANZCC.2018.8606618

Frequency-weighted balanced truncation of 2-D separable denominator discrete-time systems. / Kumar, Deepak; Zulfiqar, Umair; Sreeram, Victor.

ANZCC 2018 - 2018 Australian and New Zealand Control Conference. IEEE, Institute of Electrical and Electronics Engineers, 2019. p. 377-379 8606618 (ANZCC 2018 - 2018 Australian and New Zealand Control Conference).

Research output: Chapter in Book/Conference paperConference paper

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Kumar D, Zulfiqar U, Sreeram V. Frequency-weighted balanced truncation of 2-D separable denominator discrete-time systems. In ANZCC 2018 - 2018 Australian and New Zealand Control Conference. IEEE, Institute of Electrical and Electronics Engineers. 2019. p. 377-379. 8606618. (ANZCC 2018 - 2018 Australian and New Zealand Control Conference). https://doi.org/10.1109/ANZCC.2018.8606618