Design of Fuzzy Control Systems Based on Quadratic Performance Function and Robust Stability

• IKEDA Takayuki

  Tokyo Institute of Technology

• TANAKA Kazuo

  The University of Electro-Communications

Bibliographic Information

Other Title

• 2次形式評価関数とロバスト性を考慮したファジィシステムの混合設計問題
• 2ジ ケイシキ ヒョウカ カンスウ ト ロバストセイ オ コウリョ シタ ファ

Abstract

This paper presents a systematic design of fuzzy control systems based on quadratic performance function and robust stability. First, robust stability conditions for a class of uncertain fuzzy systems are derived. An LMI-based approach is employed to design a robust fuzzy controller. Next, a fuzzy controller design based on quadratic performance indexes is realized by solving a minimization problem of the upper bound of a give quadratic performance index. Furthermore, a mixed control problem that simultaneously considers both of them is defined and solved efficiently by derived LMI conditions. Finally, a design example, stabilization of an inverted pendulum system, shows the effect of the proposed design method.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 34 (11), 1692-1697, 1998

  The Society of Instrument and Control Engineers

Keywords

• fuzzy control
• parallel distributed compensation
• quadratic performance function
• robust stability
• LMI

Details

• CRID: 1390282679478135168
• NII Article ID: 130003791325
• NII Article ID: 10002480243
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr1965.34.1692
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 4606718
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4606718
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/34/11/34_11_1692/_pdf
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed