Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Generalized Finite-Horizon Linear-Quadratic Optimal Control

    Access Status
    Fulltext not available
    Authors
    Ferrante, A.
    Ntogramatzidis, Lorenzo
    Date
    2014
    Type
    Book Chapter
    
    Metadata
    Show full item record
    Citation
    Ferrante, A. and Ntogramatzidis, L. 2014. Generalized Finite-Horizon Linear-Quadratic Optimal Control. In Encyclopedia of Systems and Control, 1-8. London: Springer-Verlag.
    Source Title
    Encyclopedia of Systems and Control
    DOI
    10.1007/978-1-4471-5102-9_202-1
    ISBN
    978-1-4471-5102-9
    School
    Department of Mathematics and Statistics
    Remarks

    The final publication is available at Springer via http://doi.org/10.1007/978-1-4471-5102-9_202-1

    URI
    http://hdl.handle.net/20.500.11937/33349
    Collection
    • Curtin Research Publications
    Abstract

    The linear-quadratic (LQ) problem is the prototype of a large number of optimal control problems, including the fixed endpoint, the point-to-point, and several H 2/H 8 control problems, as well as the dual counterparts. In the past 50 years, these problems have been addressed using different techniques, each tailored to their specific structure. It is only in the last 10 years that it was recognized that a unifying framework is available. This framework hinges on formulae that parameterize the solutions of the Hamiltonian differential equation in the continuous-time case and the solutions of the extended symplectic system in the discrete-time case. Whereas traditional techniques involve the solutions of Riccati differential or difference equations, the formulae used here to solve the finite-horizon LQ control problem only rely on solutions of the algebraic Riccati equations. In this article, aspects of the framework are described within a discrete-time context.

    Related items

    Showing items related by title, author, creator and subject.

    • Optimal control problems with constraints on the state and control and their applications
      Li, Bin (2011)
      In this thesis, we consider several types of optimal control problems with constraints on the state and control variables. These problems have many engineering applications. Our aim is to develop efficient numerical methods ...
    • Optimal control problems involving constrained, switched, and delay systems
      Loxton, Ryan Christopher (2010)
      In this thesis, we develop numerical methods for solving five nonstandard optimal control problems. The main idea of each method is to reformulate the optimal control problem as, or approximate it by, a nonlinear programming ...
    • A study of optimization and optimal control computation : exact penalty function approach
      Yu, Changjun (2012)
      In this thesis, We propose new computational algorithms and methods for solving four classes of constrained optimization and optimal control problems. In Chapter 1, we present a brief review on optimization and ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.