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RESEARCH ON DEVELOPMENT OF CAD SYSTEM FOR ROBUST CONTROL SYSTEMS BY USING POLYGON INTERVAL ARITHMETIC

Research Project

Project/Area Number 07650494
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計測・制御工学
Research InstitutionKOBE UNIVERSITY

Principal Investigator

OHTA Yuzo  KOBE UNIVERSITY COMPUTER AND SYSTEMS DEPARTMENT PROFESSOR, 工学部, 教授 (80111772)

Co-Investigator(Kenkyū-buntansha) TAGAWA Kiyoharu  KOBE UNIVERSITY ELECTRICAL AND ELECTRONICS DEPARTMENT ASSISTANT PROFESSOR, 工学部, 助手 (50252789)
HANEDA Hiromasa  KOBE UNIVERSITY ELECTRICAL AND ELECTRONICS DEPARTMENT PROFESSOR, 工学部, 教授 (10031113)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1996: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1995: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsPOLYGON INTERVAL ANALYSIS / ROBUST CONTROL / CAD / UNCERTAINTY / PID CONTROLLERS / ROBUST ROOT LOCI METHOD / FREQUENCY RANGE / ROBUST 2 DEGREE OF FREEDOM SYSTEMS / ロバスト2自由度制御系 / 安定性 / PID制御 / パラメトリック安定性 / 計算機援用設計
Research Abstract

Results obtained by this project are summerlized as follows :
1) Definition and Implementation of Polygon Interval Arithmetic.
We proposed two kinds of the polygon interval arithmetic and implemented both of them. One is the arithmetic defined on the sets of convex polygons (we call this CPIA), and the other is that defined on (not necessarily convex) polygons (we refer this NPIA). Operations are the addition, the multiplication, and the inversion of polygons. In the implementation of them, we used recent results on computational geometry.
2) Computation of Gain Margin
We proposed four method using PIA,which are improvement of the method proposed by Gaston, and one method using NPIA.The latter method is superior to the former when a totally decomposable expression of transfer functions.
3) Robust Root Loci Method.
In the practical points of view, we proposed a robust root loci method which is able to assign the regions of the representative roots, dipoles, and other roots.
4) Design of Robust PID Controllers.
We developed a CAD system for the design of PID controller which satisfies several robust performances.
5) Development of CAD System for Robust 2 Degree of Freedom Systems.
We developed CAD system for robust 2 degree of freedom systems which has functions described in 3) and 4), and classical frequency response method.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 太田 有三: "多角形区間演算を用いたゲイン余裕の算出" システム制御情報学会論文誌. 8. 212-221 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Yuzo Ohta: "Fast Solving of O-Exclusion Problems of Value Sets of Multi-Linear Functions via PIA" Proceedings of European Control Conference ECC'95. 3015-3020 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 和田 光代: "多入出力ル-リェ系のパラメトリック絶対安定性 -ポポフ型条件と多角形区間演算によるその判定-" 計測自動制御学会論文誌. 31. 1329-1335 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Teruyo Wada: "Parametric Absolute Stability of Lur'e Systems" Proceedings of the IEEE 1995 Decision and Control Conference. 1449-1454 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 太田 有三: "多角形区間演算を用いたロバスト制御系の解析と設計" 計測と制御. 35. 757-762 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Yuzo Ohta: "NPIA for Fast Computation of Almost Correct Estimate of Value Sets of Transfer Functions" Proceedings of the 35th CDC. 2878-2883 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Ohta, A.Isogai, K.Tgawa and H.Haneda: "Computation of Gain Margin Using Polygon Interval Arithmetic" Trans. ISCIE^+. 8-5. 212-221 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Ohta, A.Isogai, K.Tagawa and H.Haneda: "Fast Solving of 0 Exclusion Problems of Value Sets of Multi-Linear Functions via PIA" Proceedings of European Control Conference ECC'95. 3015-3020 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Wada, M.Ikeda, Y.Ohta and D.D.Siljak: "Parametric Absolute Stability of Multivariable Lure'e Systems-A Popov-Type Condition and Application of Polygon Interval Arithmetic-" Trans. SICE^+. 31-9. 1329-1335 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Wada, M.Ikeda, Y.Ohta and D.D.Siljak: "Parametric Absolute Stability of Lure'e Systems" Proceedings of the IEEE 1995 Decision and Control Conference. 1449-1454 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Ohta: "Analysis and Design of Robust Control Systems via Polygon Interval Arithmetic" Journal SICE^+. 35-10. 757-762 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Ohta, H.Kakiuchi, M.Watabiki, K.Tagawa, H.Haneda: "NPIA for Fast Computation of Almost Correct Estimate of Value Sets of Transfer Functions" Proceedings of the IEEE 1996 Decision and Control Conference. 2878-2883 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 太田有三: "多角形区間演算を用いたゲイン余裕の算出" システム制御情報学会論文誌. 8・5. 212-221 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Yuzo Ohta: "Fast Solving of 0-Exclusion Problems of Value Sets of Multi-Linear Functions via PIA" Proceedings of European Control Conference ECC'95. 3015-3020 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 和田光代: "多入出力ル-リェ系のパラメトリック絶対安定性-ポポフ型条件と多角形区間演算によるその判定-" 計測自動制御学会論文誌. 31・9. 1329-1335 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Teruyo Wada: "Parametric Absolute Stability of Lur'e Systems" Proceedings of the IEEE 1995 Decision and Control Conference. 1449-1454 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 太田有三: "多角形区間演算を用いたロバスト制御系の解析と設計" 計測と制御. 35・10. 757-762 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Yuzo Ohta: "NPIA for Fast Computation of Almost Correct Estimate of Value Sets of Transfer Functions" Proceedings of the 35th CDC. 2878-2883 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 太田有三: "多角形区間演算を用いたゲイン余裕の算出" システム制御情報学会論文誌. 8. 212-221 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 和田光代: "多入出力ル-リエ系のパラメトリック絶対安定-ポポワ型条件と多角形区間演算によるその判定-" 計測自動制御学会論文誌. 31. 1329-1335 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Yuzo Ohta: "East Solving of Exclusion Problem of Value Sets of Multi-Linoar functions v/a PIA" Proc. of ECC '95. 3015-3020 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Teruyo Wada: "Parametric Absolute Stability of Lure Systems" Proc. of CDC '95. 1449-1454 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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