Lie Derivative Inclusion with Polynomial Output Feedback

• Yuno Tsuyoshi

  Graduate School of Engineering Science, Osaka University

• Ohtsuka Toshiyuki

  Graduate School of Informatics, Kyoto University

Abstract

In this paper, we deal with two problems of static output feedback for input-affine polynomial dynamical systems. One is to design a static output-feedback controller so as to render a prescribed algebraic set invariant for the resulting closed-loop system. The other is to design a static output-feedback controller so as to realize a prescribed vector field on a prescribed algebraic set. It is shown that the two problems can be represented by a particular inclusion of polynomials, and the inclusion can be solved. As a result, all the static output-feedback controllers required in the problems can be exactly represented by using free polynomial parameters.

Journal

• Transactions of the Institute of Systems, Control and Information Engineers

  Transactions of the Institute of Systems, Control and Information Engineers 28 (1), 22-31, 2015

  THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)

Keywords

• polynomial dynamical systems
• nonlinear systems
• invariant set
• vector field
• commutative algebra

Details

• CRID: 1390001205168359424
• NII Article ID: 130005065386
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.28.22
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 026032725
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026032725
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed