A Calculation Method of Parameter-dependent LMIs on Nonlinear Affine Basis

• KOJIMA Akira

  Graduate School of System Design, Tokyo Metropolitan University

Bibliographic Information

Other Title

• アファインな非線形基底を用いたパラメータ依存LMIの解法
• アファイン ナ ヒセンケイ キテイ オ モチイタ パラメータ イソン LMI ノ カイホウ

Abstract

A calculation method of polynomially parameter-dependent LMIs (Linear Matrix Inequalities) is proposed by employing Bernstein polynomial basis. Based on the fundamental properties of the Bernstein basis, it is shown that the parameter-dependent LMI conditions are systematically transformed to standard LMI conditions, and the finite division of the parameter range enables to treat the necessary and sufficient condition with arbitrary resolution and precision. The features of the proposed calculation method are illustrated with numerical examples.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 55 (7), 429-438, 2019

  The Society of Instrument and Control Engineers

Keywords

• parameter-dependent LMIs (Linear Matrix Inequalities)
• Bernstein polynomial basis
• linear parameter varying (LPV) system
• gain scheduled control
• robust control

Details

• CRID: 1390564238105679232
• NII Article ID: 130007679326
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr.55.429
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 029881249
• Web Site: http://id.ndl.go.jp/bib/029881249
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I029881249
• Web Site: https://www.jstage.jst.go.jp/article/sicetr/55/7/55_429/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed