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A Study on Optimal Synthesis of State-Estimate Feedback Digital Controllers

Research Project

Project/Area Number 13650489
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionHiroshima University

Principal Investigator

HINAMOTO Takako  Hiroshima University, Graduate School of Engineering, Professor, 大学院・工学研究科, 教授 (50031141)

Co-Investigator(Kenkyū-buntansha) MUNEYASU Mitsuji  Kansai University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (30229942)
土井 章充  広島大学, 大学院・工学研究科, 助手 (30294531)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2002: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2001: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsDigital Controllers / State-Estimate Feedback / Closed-Loop Systems / Roundoff Noise / Error Feedback / Coefficient Quantization / Coefficient Sensitivity / Characteristic Degrdation / 状態推定フイードバック / ダイナミックレンジスケーリング / 座標変換 / 同時最適化 / 状態推定フィードバック / 丸め誤差の低減化 / 係数感度の低減化 / 正規直交梯子形フィルタ / 出力雑音
Research Abstract

1)We proposed a method for designing error feedback coefficients that reduce the output roundoff noise in the closed-loop system with a state-estimate feedback controller implemented by fixed-point arithmetic subject to L2-norm scaling constraints
2)In the implementation of a state-estimate feedback controller with the finite word length of fixed-point arithmetic, an L2-sensitivity measure is derived for evaluating the overall sensitivity of a closed-loop transfer function with respect to the state-estimate feedback controller's coefficients by using a pure L2-norm. An iterative procedure is then presented for synthesizing the state-estimate feedback controller's structures that minimize the L2-sensitivity measure.
3)The closed-loop system with a state-estimate feedback controller is described, and error feedback circuits are incorporated into the state-estimate feedback controller. The optimal closed-form solutions of error feedback coefficients are presented to minimize the output roundoff noise of the closed-loop system, under L2-norm scaling constraints in the state-estimate feedback controller.
4)A measure for evaluating the L2sensitivity of a closed-loop transfer function with respect to the coefficients of a state-estimate feedback controller is presented by using a pure L2 norm and taking into account 0, 1 coefficients. A technique is then developed for synthesizing a state-estimate feedback controller in orthonormal ladder filter structure with several 0 coefficients.
5)We developed a method for the optimal design of an error-feedback coefficient matrix and a coordinate transformation matrix that minimize the output roundoff noise in a closed-loop system with a state-estimate feedback digital controller implemented by fixed-point arithmetic subject to L2-norm dynamic-range scaling constraints.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] 雛元 孝夫: "状態推定フィードバック閉ループシステムにおける誤差スペクトル整形"計測自動制御学会論文集. 37. 842-848 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto: "Realization of State-Estimate Feedback Controllers with Minimum L2-Sensitivity"Proceedings of IEEE International Symposium on Circuits and Systems. 2. 837-840 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto: "Error Spectrum Shaping in Closed-Loop Systems with State-Estimate Feedback Controller"Proceedings of IEEE International Symposium on Circuits and Systems. 1. 289-292 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 雛元 孝夫: "正規直交梯子形フィルタ構造を用いた低感度状態推定フィードバック制御器の合成"計測自動制御学会論文集. 38. 855-861 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 雛元 孝夫: "状態推定フィードバックディジタル制御器の丸め誤差を最小化する誤差フィードバックと座標変換の同時最適化"計測自動制御学会論文集. 40. 293-299 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto, Shunsuke Yamamoto: "Error Spectrum Shaping in Closed-Loop Systems with State-Estimate Feedback"Trans. of the Society of Instrument and Control Engineers. Vol.37 No.9. 842-848 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto, Takeshi Kouno: "Realization of State-Estimate Feedback Controllers with Minimum L2-Sensitivity"Proceedings of IEEE International Symposium on Circuits and Systems. Vol.2. 837-840 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto, S. Yamamoto: "Error Spectrum Shaping in Closed-Loop Systems with State-Estimate Feedback Controller"Proceedings of IEEE International Symposium on Circuits and Systems. vol.1. 289-292 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto, Takuya Inoue: "Optimal Synthesis of State-Estimate Feedback Analog Controllers with Minimum L2-Sensitivity"Proceedings of 45^<th> IEEE Midwest Symposium on Circuits and Systems,. vol.3. 113-116 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto, Takuya Inoue: "Synthesis of State-Estimate Feedback Controllers with Very Low L2-Sensitivity Using Orthonormal Ladder Filter Structures"Trans. of the Society of Instrument and Control Engineers. Vol.38. 855-861 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto, Takuya Inoue: "A State-Estimate Feedback Continuous-Time Controller with Very Low L2-Sensitivity"Proceedings of the 28^<th> Annual Conference of the IEEE Industrial Electronics Society. 1648-1651 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takao Hinamoto, Keijiro Kawai, Masayoshi Nakamoto: "Joint Optimization of Error Feedback and Coordinate Transformation for Roundoff Noise Minimization in State-Estimate Feedback Digital Controller"Trans. of the Society of Instrument and Control Engineers. Vol.40, No.3. 293-299 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 雛元 孝夫: "状態推定フィードバックディジタル制御器の丸め誤差を最小化する誤差フィードバックと座標変換の同時最適化"計測自動制御学会論文集. 40巻3号. 293-299 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Takao Hinamoto: "Error spectrum shaping in closed-loop systems with state-estimate feedback controller"Proceedings of IEEE International Symposium on Circuits and Systems. Vol.1. 289-292 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Takao Hinamoto: "Optimal synthesis of state-estimate feedback analog controllers with minimum L2-sensitivity"Proceedings of 45th IEEE Midwest Symposium on Circuits and Systems. Vol.3. 113-116 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 雛元 孝夫: "正規直交梯子形フィルタ構造を用いた低感度状態推定フィードバック制御器の合成"計測自動制御学会論文集. 38巻10号. 855-861 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Takao Hinamoto: "A state-estimate feedback continuous-time controller with very low L2-sensitivity"Proceedings of the 28th Annual Conference of the IEEE Industrial Electronics Society. 1648-1651 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 雛元 孝夫: "状態推定フィードバック閉ループシステムにおける誤差スペクトル整形"計測自動制御学会論文集. 37巻9号. 842-848 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Takao Hinamoto: "Realization of State-Estimate Feedback Controllers with Minimum L2-Sensitivity"Proceedings of IEEE International Symposium on Circuits and Systems. Vol.2. 837-840 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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