Optimal sensor and actuator locations in linear distributed parameter systems

K.D. Do, Jie Pan

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    © 2014. A constructive method is developed to obtain optimal sensor and actuator loca- tions for inverse optimal state estimation and control of a class of linear distributed parameter systems (DPSs). Given the inverse optimal state estimators and con- trollers for linear DPSs developed by the first author recently, it is shown that the performance index for optimal locations of sensors and actuators is the trace of the solution of the Bernoulli partial differential equations (PDEs), which are the optimal state estimation and control gain matrices. Thus, the optimal locations are designed so as to minimize the trace of the solution of the Bernoulli partial differential equations.
    Original languageEnglish
    Pages (from-to)803-820
    JournalApplied Mathematical Sciences
    Volume9
    Issue number17-20
    DOIs
    Publication statusPublished - 2015

    Fingerprint

    Optimal Location
    Optimal Estimation
    Distributed Parameter Systems
    State Estimation
    Bernoulli
    Actuator
    Actuators
    Partial differential equation
    Trace
    State estimation
    Sensor
    Partial differential equations
    Sensors
    Performance Index
    Locus
    Gain control
    Minimise
    Estimator
    Controllers
    Class

    Cite this

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    title = "Optimal sensor and actuator locations in linear distributed parameter systems",
    abstract = "{\circledC} 2014. A constructive method is developed to obtain optimal sensor and actuator loca- tions for inverse optimal state estimation and control of a class of linear distributed parameter systems (DPSs). Given the inverse optimal state estimators and con- trollers for linear DPSs developed by the first author recently, it is shown that the performance index for optimal locations of sensors and actuators is the trace of the solution of the Bernoulli partial differential equations (PDEs), which are the optimal state estimation and control gain matrices. Thus, the optimal locations are designed so as to minimize the trace of the solution of the Bernoulli partial differential equations.",
    author = "K.D. Do and Jie Pan",
    year = "2015",
    doi = "10.12988/ams.2015.4121003",
    language = "English",
    volume = "9",
    pages = "803--820",
    journal = "Applied Mathematical Sciences",
    issn = "1312-885X",
    publisher = "Hikari Ltd.",
    number = "17-20",

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    Optimal sensor and actuator locations in linear distributed parameter systems. / Do, K.D.; Pan, Jie.

    In: Applied Mathematical Sciences, Vol. 9, No. 17-20, 2015, p. 803-820.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Optimal sensor and actuator locations in linear distributed parameter systems

    AU - Do, K.D.

    AU - Pan, Jie

    PY - 2015

    Y1 - 2015

    N2 - © 2014. A constructive method is developed to obtain optimal sensor and actuator loca- tions for inverse optimal state estimation and control of a class of linear distributed parameter systems (DPSs). Given the inverse optimal state estimators and con- trollers for linear DPSs developed by the first author recently, it is shown that the performance index for optimal locations of sensors and actuators is the trace of the solution of the Bernoulli partial differential equations (PDEs), which are the optimal state estimation and control gain matrices. Thus, the optimal locations are designed so as to minimize the trace of the solution of the Bernoulli partial differential equations.

    AB - © 2014. A constructive method is developed to obtain optimal sensor and actuator loca- tions for inverse optimal state estimation and control of a class of linear distributed parameter systems (DPSs). Given the inverse optimal state estimators and con- trollers for linear DPSs developed by the first author recently, it is shown that the performance index for optimal locations of sensors and actuators is the trace of the solution of the Bernoulli partial differential equations (PDEs), which are the optimal state estimation and control gain matrices. Thus, the optimal locations are designed so as to minimize the trace of the solution of the Bernoulli partial differential equations.

    U2 - 10.12988/ams.2015.4121003

    DO - 10.12988/ams.2015.4121003

    M3 - Article

    VL - 9

    SP - 803

    EP - 820

    JO - Applied Mathematical Sciences

    JF - Applied Mathematical Sciences

    SN - 1312-885X

    IS - 17-20

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