Design of Robust I-PD Controller by Using Pareto-Optimality

• TAGAMI Takanori

  Department of General Education, Anan National College of Technology

• IKEDA Kenii

  Department of Information Science and Intelligent Systems, The University of Tokushima

• KAWABE Tohru

  Institute of Information Sciences and Electronics, University of Tsukuba

Bibliographic Information

Other Title

• パレート最適性を考慮したロバストＩ‐ＰＤ制御系設計法
• パレート サイテキセイ オ コウリョ シタ ロバスト I PD セイギョケイ セッケイホウ

Abstract

In this paper, a new design method for robust I-PD controller by using Pareto-optimality is proposed. The proposed design method is formulated as a two-objective optimization problem in which optimization of the settling time and damping ratio is translated into a pole assignment problem. The uncertainties of the plant are represented as a polytope of polynomials, and the computational cost is reduced by using the edge theorem. The genetic algorithm is applied to optimize this problem because of its multiple search property. In order to demonstrate the effectiveness of the proposed design method, we applied the proposed design method to a magnetic levitation system and compared our method with the design method based on the generalized ISE (Integral of Squared Error) criterion.

Journal

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

  Transactions of the Institute of Systems, Control and Information Engineers 17 (9), 363-370, 2004

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

Keywords

• Pareto-optimality
• robust pole assignment
• genetic algorithm

Details

• CRID: 1390001205164812928
• NII Article ID: 10013391164
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.17.363
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 7074048
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7074048
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed