\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2009, Volume 5, Issue 4: 737-747. Doi: 10.3934/jimo.2009.5.737
This issue Previous Article Random time ruin probability for the renewal risk model with heavy-tailed claims Next Article The hot-rolling batch scheduling method based on the prize collecting vehicle routing problem

Optimal control of piecewise affine systems with piecewise affine state feedback

  • 1.

    Department of Mathematics, Chongqing Normal University, Shapingba, Chongqing, 400047

  • 2.

    Department of Mathematics and Statistics, Curtin University, G.P.O. Box U1987, Perth, WA 6845

  • 3.

    Department of Mathematics and Statistics, Curtin University of Technology, Perth, 6002, WA

Received:  May 2008
Revised:  May 2009
Published:  October 2009
Abstract Related Papers Cited by
    Abstract
  • In this paper, we consider a class of optimal control problems involving piecewise affine (PWA) systems with piecewise affine state feedback. We first show that if the piecewise affine state feedback control is assumed to be continuous at the switching boundaries, then the number of switching amongst PWA systems is finite. On this basis, this optimal control problem is transformed into a discrete valued optimal control problem. For this discrete valued optimal control problem, we introduce the time scaling transform to convert it into an equivalent constrained optimal parameter selection problem, for which it can be solved by existing optimal control techniques for optimal parameter selection problems. A numerical example is solved so as to illustrate the proposed method.
    Mathematics Subject Classification: 34H05, 49M37.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(72) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences