Balanced Generalized Singular Perturbation Method for Unstable Linear Time Invariant Continuous Systems

Ha Binh Minh, Chu Binh Minh, Victor Sreeram

    Research output: Contribution to journalArticle

    Abstract

    In this paper, a balanced truncation type of reduction is proposed for unstable continuous-time systems which is based on unstable system reduction originally proposed for discrete systems. This is achieved by first deriving a link between continuous-time and discrete-time systems which is called the extended bilinear mapping. Using this mapping, an unstable continuous-time system reduction method along with its error bounds is then derived. A numerical example is provided to illustrate the effectiveness of the method and a comparison with other relevant methods in the literature is also included.

    Original languageEnglish
    Pages (from-to)615-635
    Number of pages21
    JournalActa Mathematica Vietnamica
    Volume42
    Issue number4
    DOIs
    Publication statusPublished - 1 Dec 2017

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    Singular Perturbation Method
    Continuous System
    Linear Time
    Unstable
    Continuous-time Systems
    Invariant
    Balanced Truncation
    Discrete-time Systems
    Reduction Method
    Discrete Systems
    Error Bounds
    Continuous Time
    Numerical Examples

    Cite this

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    Balanced Generalized Singular Perturbation Method for Unstable Linear Time Invariant Continuous Systems. / Minh, Ha Binh; Minh, Chu Binh; Sreeram, Victor.

    In: Acta Mathematica Vietnamica, Vol. 42, No. 4, 01.12.2017, p. 615-635.

    Research output: Contribution to journalArticle

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