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    Inverse optimal control of linear distributed parameter systems

    197421_110057_80324.pdf (138.1Kb)
    Access Status
    Open access
    Authors
    Do, Khac Duc
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Do, K.D. 2014. Inverse optimal control of linear distributed parameter systems. Applied Mathematical Sciences. 8 (7): pp. 293-313.
    Source Title
    Applied Mathematical Sciences
    DOI
    10.12988/ams.2014.310563
    ISSN
    1312-885X
    Remarks

    This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/ Please refer to the licence to obtain terms for any further reuse or distribution of this work.

    URI
    http://hdl.handle.net/20.500.11937/48039
    Collection
    • Curtin Research Publications
    Abstract

    A constructive method is developed to design inverse optimal controllers for a class of linear distributed parameter systems (DPSs). Inverse optimality guarantees that the cost functional to be minimized is meaningful in the sense that the symmetric and positive definite weighting kernel matrix on the states is chosen after the control design instead of being specified at the start of the control design. Inverse optimal design enables that the Riccati nonlinear partial differential equation (PDE) can be simplified to a Bernoulli PDE, which can be solved analytically. The control design is based on a new Green matrix formula, a new unique and bounded solution of a linear PDE, and an analytical solution of a Bernoulli PDE. Both distributed and finite control problems are addressed. An example is given.

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