A Study on Optimal Synthesis of State-Estimate Feedback Digital Controllers
| Project/Area Number | 13650489 |
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Control engineering
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| Research Institution | Hiroshima University |
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Principal Investigator |
HINAMOTO Takako Hiroshima University, Graduate School of Engineering, Professor, 大学院・工学研究科, 教授 (50031141)
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| 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)
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| Project Period (FY) |
2001 – 2003
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| Project Status |
Completed(Fiscal Year 2003)
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| 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)
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| Keywords | Digital 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 |
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| 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.
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Report
(4results)
Research Products
(19results)
