• 제목/요약/키워드: mixed-norm

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H$_{\infty}$제어법을 이용한 부유식 플랫폼의 동위치 제어 (Dynamic Positionning Control of Floating Platform Using H$_{\infty}$ Control Method)

  • 유휘룡;김성민;김상봉
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 춘계학술대회 논문집
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    • pp.437-442
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    • 1996
  • The paper presents a design method of dynamic positioning control system for floating platform with rotatable and retractable thruster using $H_{\infty}$control technique. The norm band of uncertaintyis captured by multiplicative perturbation between nominalmodel and reduced order model. A controller robust to theuncertainty is designed applying $H_{\infty}$synthesis. The control law satisfying robust stability and nominal performance condition is determined through the mixed sensitivity approach. The evaluation for the resultant controller obtained by $H_{\infty}$synthesis is done through simulations of the closed loop system. The results of $H_{\infty}$synthesis are compared to those of the traditional LQ synthesis method. method.

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혼합정수 선형계획법 기반의 비선형 패턴 분류 기법 (An MILP Approach to a Nonlinear Pattern Classification of Data)

  • 김광수;류홍서
    • 대한산업공학회지
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    • 제32권2호
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    • pp.74-81
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    • 2006
  • In this paper, we deal with the separation of data by concurrently determined, piecewise nonlinear discriminant functions. Toward the end, we develop a new $l_1$-distance norm error metric and cast the problem as a mixed 0-1 integer and linear programming (MILP) model. Given a finite number of discriminant functions as an input, the proposed model considers the synergy as well as the individual role of the functions involved and implements a simplest nonlinear decision surface that best separates the data on hand. Hence, exploiting powerful MILP solvers, the model efficiently analyzes any given data set for its piecewise nonlinear separability. The classification of four sets of artificial data demonstrates the aforementioned strength of the proposed model. Classification results on five machine learning benchmark databases prove that the data separation via the proposed MILP model is an effective supervised learning methodology that compares quite favorably to well-established learning methodologies.

외란과 모델 불확실성에 강인한 DC모터의 속도 제어용 H-infinity 제어기 설계 (H-infinity controller design for robust speed control against disturbance and model uncertainty of DC motors)

  • 정태영;김동근
    • 수산해양기술연구
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    • 제58권3호
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    • pp.241-250
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    • 2022
  • This paper describes the design of H-infinity controller for robust control of a DC motor system. The suggested controller can ensure robustness against disturbance and model uncertainty by minimizing H-infinity norm of the transfer function from exogenous input to performance output and applying the small gain theorem. In particular, the controller was designed to reduce the effects of disturbance and model uncertainty simultaneously by formalizing these problems as a mixed sensitivity problem. The validity of the proposed controller was demonstrated by computer simulations and real experiments. Moreover, the effectiveness of the proposed controller was confirmed by comparing its performance with PI controller, which was tested under the same experimental condition as the H-infinity controller.

Robust market-based control method for nonlinear structure

  • Song, Jian-Zhu;Li, Hong-Nan;Li, Gang
    • Earthquakes and Structures
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    • 제10권6호
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    • pp.1253-1272
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    • 2016
  • For a nonlinear control system, there are many uncertainties, such as the structural model, controlled parameters and external loads. Although the significant progress has been achieved on the robust control of nonlinear systems through some researches on this issue, there are still some limitations, for instance, the complicated solving process, weak conservatism of system, involuted structures and high order of controllers. In this study, the computational structural mechanics and optimal control theory are adopted to address above problems. The induced norm is the eigenvalue problem in structural mechanics, i.e., the elastic stable Euler critical force or eigenfrequency of structural system. The segment mixed energy is introduced with a precise integration and an extended Wittrick-Williams (W-W) induced norm calculation method. This is then incorporated in the market-based control (MBC) theory and combined with the force analogy method (FAM) to solve the MBC robust strategy (R-MBC) of nonlinear systems. Finally, a single-degree-of-freedom (SDOF) system and a 9-stories steel frame structure are analyzed. The results are compared with those calculated by the $H{\infty}$-robust (R-$H{\infty}$) algorithm, and show the induced norm leads to the infinite control output as soon as it reaches the critical value. The R-MBC strategy has a better control effect than the R-$H{\infty}$ algorithm and has the advantage of strong strain capacity and short online computation time. Thus, it can be applied to large complex structures.

A Mixed-Method Approach to Explore the Motivations and Constraints of Kiosks Consumers

  • Taehyee Um;Hyunji Kim;Jumi RHee;Namho Chung
    • Asia pacific journal of information systems
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    • 제32권1호
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    • pp.92-124
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    • 2022
  • Providing services using kiosks is actively carried out between suppliers and consumers. These service processes have recently begun to play a dominant role in transactions. However, previous self-service technology (SST) studies or kiosks have not fully reflected the changing environment surrounding these different technologies. To cover the updated business environments, we combined qualitative and quantitative research methods. Through qualitative research and a review of previous studies, the variables emphasized as motivations and constraints for kiosks use and those that can be newly illuminated were selected for this study. We then applied the variables to the research model to assess their influence. In terms of the motivations for using kiosks, the results suggest that perceived usefulness and compatibility as service quality, forced use, and perceived service providers' efficiency as provider polices, absorptive capacity, and habit as an individual characteristic and social influence as a subjective norm have a significant effect on the attitude toward kiosks. In terms of constraints, difficult to use and need for interaction predicts the attitude toward kiosks. Attitude toward kiosks, perceived behavioral control, and social influence are directly related to the intention to use kiosks. Lastly, intention to use kiosks plays a significant role as an antecedent of revisit intention. Using these empirical results, we propose both academic and practical implications for future kiosks use.

이원혼합모형에서 고정효과 유의성검정에 대한 검정력 분석 (Power analysis of testing fixed effects with two way classification)

  • 이장택
    • 응용통계연구
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    • 제10권1호
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    • pp.177-187
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    • 1997
  • 고정효과가 하나인 이원혼합모형에서의 고정효과 유의성검정에 대한 검정력 분석을 고려한다. 고정효과 수준간의 차이를 검정하는데 사용되는 일반화 최소제곱 F 통계량을 헨더슨의 방법 III, 사전추측값이 1인 MINQUE 추정량, 최우추정법, 제한적 최우 추정법을 이용하여 구하고 이 검정 통계량들의 검정력을 모의실험을 통하여 알아본다. 모의실험의 결과는 결론적으로 검정력의 측면에서 살펴본 효율성은 4가지 추정량 모두 대체적으로 비슷한 것으로 판명되었다.

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Convergence studies for Enriched Free Mesh Method and its application to fracture mechanics

  • Matsubara, Hitoshi;Yagawa, Genki
    • Interaction and multiscale mechanics
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    • 제2권3호
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    • pp.277-293
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    • 2009
  • The Enriched Free Mesh Method (EFMM) is a patch-wise procedure in which both a displacement field on an element and a stress/strain field on a cluster of elements connected to a node can be defined. On the other hand, the Superconvergent Patch Recovery (SPR) is known to be an efficient post-processing procedure of the finite element method to estimate the error norm at a node. In this paper, we discuss the relationship between solutions of the EFMM and those of the SPR through several convergence studies. In addition, in order to solve the demerit of the smoothing effect on the fracture mechanics fields, we implement a singular stress field to a local patch in the EFMM, and its effectiveness is investigated.

$\textrm{HO}_2$ 준최적제어기의 변수화를 이용한 혼합된 $\textrm{HO}_2$/$\textrm{H}_\infty$ 최적제어게 설계 ($\textrm{HO}_2$/$\textrm{H}_\infty$ optimal controller design using parameterization of $\textrm{HO}_2$ suboptimal controller)

  • 류동기;방경호;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.754-759
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    • 1992
  • In this paper, we proposed a mixed H$_{2}$/H$_{\infty}$ optimal controller design method using the parameterization of H$_{2}$ suboptimal controller. The method is based on the minimization of H$_{2}$ performance measure with an H$_{\infty}$-norm constraint. We also derived the necessary and sufficient conditions for existence of solution from the decoupled Riccati equations. And the designed controller has state-space representation.n.

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A Design of the Robust Controller for an Active Noise Control

  • Chung, Tae-Jin
    • The Journal of the Acoustical Society of Korea
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    • 제17권1E호
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    • pp.3-9
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    • 1998
  • In this paper, a robust active noise controller is designed to reduce noise in al small cavity. Noise characteristics in the small cavity are nonlinear and we could get its model with considerable modelling errors. The objective of this paper is to minimize the effects of these modelling errors and maximize the noise reduction performance. The solution could be obtained by the H∞ robust control theory. The resulting feedback controller minimizes the H∞ norm of the mixed sensitivity function, which means the effects of uncertainties of the model are suppressed in the sense of stability and the performance is enhanced as a given specification. The designed controller is realized with analog devices such as Op. Amps and experimental results show that the controller reduces noise signal sufficiently.

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강인한 궤환 능동 소음 제어기의 설계에 관한 연구 (A Study on the Design of the Robust Feedback Active Noise Controller)

  • 안우현;정태진;유치형;정찬수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 B
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    • pp.1018-1020
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    • 1996
  • In this paper, when a robust active noise controller for a small cavity to control the noise induced in the cavity is designed, the Graphical method based on the robust stability and performance requirements is studied. The problem of designing controller that achieve these robust performance conditions is related to minimizing the $H_{\infty}$ norm of the mixed sensitivity function by using $H_{\infty}$ control theory. Also, For design the controller, the loopshaping method which control the weight functions to satisfy the design specification without loss of a robust performance can be used. Therefore, we determined the acceptable design specification with the system characteristics of the small cavity and obtained its robust controller with the robust performance specifications by stability margin.

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