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論文 - 今井　純

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Modeling uncertainty of large flexible structures with unknown modal parameters

J Imai, K Wada

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 3780 - 3784 2000年

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）出版者・発行元：IEEE

A procedure for control-oriented modeling of uncertainty is proposed for large flexible structures. Techniques on quantification of errors in modal truncated nominal models are developed for the case where a finite number of upper and lower bounds of the unknown modal parameters are given. A feasible set of systems matching the conditions is introduced, and then error bounds covering the feasible set are established in the frequency domain. The bounds are easily checked using linear programming for any user-specified frequency. The feasibility of the proposed scheme is illustrated by numerical study on an ideal flexible beam example.

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Modeling uncertainty of elastic vibrating systems with unkmown high order eigenstrnctures

IFAC 14th world congress,preprints I 139 - 144 1999年

物理的情報にもとづく不確かさのモデリング-柔軟振動系に対する制御器の一設計法-

今井純, 和田清

計測自動制御学会論文集 35 ( 3 ) 349 - 356 1999年

出版者・発行元：The Society of Instrument and Control Engineers

An approach is presented for modeling uncertainty from a priori information of a plant. A feasible model set is defined of all systems governed by a class of differential equations with certain norm bounds of unknown input and output operators and partially known eigenparameters. Then an unstructured uncertainty class of models including the feasible model set is characterized with least magnitude of additive perturbation in frequency domain. An example of finite dimensional compensator design is demonstrated to illustrate the usefulness of the approach.

DOI： 10.9746/sicetr1965.35.349

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Modeling uncertainty of flexible structures for controller design

J Imai, K Wada

PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 4754 - 4756 1998年

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）出版者・発行元：IEEE

An approach is presented for modeling with least additive uncertainty from a priori information of a plant. A feasible set of systems is defined as the set of all systems governed by a dass of differential equation with certain norm bounds of unknown input and output operators as well as partially known eigenparameters. Then an unstructured uncertainty class including the feasible set is characterized with least magnitude of additive perturbation in frequency domain. An example of finite dimensional compensator design is demonstrated to illustrate the usefulness of the presented approach.

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雑音を考慮したロバスト同定法について

内山剛志, 今井純, 和田清

計測自動制御学会論文集 34 ( 10 ) 1374 - 1379 1998年

出版者・発行元：The Society of Instrument and Control Engineers

In this paper, robust identification of discrete time systems in time domain is studied. An approach is proposed to estimate the nominal model, minimizing the errors, with iterative computation on numerator and donominator. Methods are proposed to reduce the influence of noise on the proposed scheme. Numerical study shows effectiveness of these methods for idenifying characteristics in low frequency range of systems in the presence of noise.

DOI： 10.9746/sicetr1965.34.1374

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On parameter estimates in a subspace method for SISO systems 査読

T Nakamitsu, K Wada, J Imai

(SYSID'97): SYSTEM IDENTIFICATION, VOLS 1-3 1087 - 1091 1998年

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）出版者・発行元：PERGAMON PRESS LTD

A study is presented on relationships between subspace approaches and conventional parameter estimation schemes. We focus on identification of single-input-single-output(SISO) systems via the Subspace State Space Identification (4SID) method. We show that an intermediate vector which appears in the 4SID procedure is equal to the parameter of the system pulse transfer function if the model set includes the system with noise free measurements. We also show explicitly, in a elementary way, that the intermediate vector is also equivalent to the estimate via the eigenvector method in the case that the column size of the extended observability matrix is equal to "(the order of the model) + 1". Furthermore, we demonstrate that using a modified cost functional in the Eigenvector method corresponds to the IV-4SID method and hence gives a consistent estimate even for colored noise.

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A finite dimensional modeling with explicit error bounds for spectral systems

J Imai, K Wada

PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 400 - 403 1996年

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）出版者・発行元：I E E E

In this paper, we present a reduced order modeling technique for a stable self-adjoint spectral system with unbounded input/output operators. An uncertainty model which covers the original distributed parameter system is formulated in view of finite dimensional controller design using linear robust control theory. The model is made of a finite dimensional nominal plant and frequency domain additive error bounds. The nominal model is a modal truncation containing a feed-through term with no de errors between the nominal plant and the system. The bound is computable using elements of the system and partial knowledge of spectral structure. The formula obtained can be readily applicable to a wide class of systems including heat conduction and diffusion, and easily extended for systems with vibration.

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分布定数系のガラーキン近似法における静特性の補償についての一考察(共著)

電気学会論文誌C 115-C ( 7 ) 882 - 886 1995年

放物型分布定数系のガラーキン近似法における静特性の補償について(共著)

今井純

システム制御情報学会論文誌 5 ( 9 ) 365 - 371 1992年

境界入力をもつ放物型分布定数系のガラーキン法による近似モデルについて(共著)

相良節夫, 今井純

計測自動制御学会論文集 27 ( 12 ) 1366 - 1373 1991年

出版者・発行元：The Society of Instrument and Control Engineers

For a parabolic distributed parameter system with boundary inputs, we consider a finite dimensional approximation scheme of Galerkin type and propose a method yielding approximation models with no static errors.<br>We illustrate a modal interpretation of the approximation model in the caseeigenfunction is employed for the coordinate function and show that the magnitude of the approximation errors of the higher order modes are proportional to the first-order differential of the system input.<br>We verify above results numerically both by simulation study in time domain and error evaluation in frequency domain, for an example of a constant parameter system.

DOI： 10.9746/sicetr1965.27.1366

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その他リンク： https://jlc.jst.go.jp/DN/JALC/00012918980?from=CiNii

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