• Title/Summary/Keyword: optimal matrix

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Study on Optimal Calibration Configurations of a Parallel Type Machining Center Under a Single Planar Constraint

  • Lee, Min-Ki;Kim, Tae-Sung;Park, Kun-Woo
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.1886-1893
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    • 2003
  • This paper examines the parameter observability of a calibration system that consrains a mobile platform to a planar table to take the calibration data. To improve the parameter observability, we find the optimal configurations providing the calibration with maximum contribution. The QR-decomposition is used to compute the optimal configurations that maximize the linear independence of rows of an observation matrix. The calibration system is applied to the parallel type manipulator constructed for a machining center. The calibration results show that all the necessary kinematic parameters assigned in a Stewart-Gough platform are identifiable and convergent to desirable accuracy.

An Algebraic Approach to Optimal Control using STWS (STWS를 이용한 최적제어의 대수적 접근에 관한 연구)

  • 오현철;김윤상;안두수
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.561-566
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    • 1998
  • This paper presents an algebraic approach to optimal control for time invariant continuous system using STWS(single term Walsh series). In optimal control, it is well known that the design problem with quadratic performance criteria often involves the determination of time-varying feedback gain matrix by solving the matrix nonlinear Riccati equation and of command signal by solving the integral equation, which makes design procedure quite difficult. Therefore, in order to resolve this problem, this paper is introduced to STWS. In this paper, the time-varying feedback gains and command signals are determined by piecewise constant gains which can be easily obtained from algebraic equation using STWS.

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Optimal Linearization-Based Robust Controller Design for Underwater Glider (수중글라이더의 최적선형화 모델기반 강인제어기 설계)

  • Moon, Ji Hyun;Lee, Ho Jae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.12
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    • pp.2023-2029
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    • 2016
  • This paper addresses a robust controller design technique for a nonlinear underwater glider with disturbances. We consider the buoyancy and pitching moment as control inputs, which generate additional nonlinearity on the plant dynamics. To deal with the nonlinearity, we utilize the optimal linearization technique. The conditions for the optimal linearization and the controller design are formulated in terms of matrix inequalities. The effectiveness of the proposed method is demonstrated through a simulation.

Controller Design for Fuzzy Systems via Piecewise Quadratic Value Functions

  • Park, Jooyoung;Kim, JongHo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.3
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    • pp.300-305
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    • 2004
  • This paper concerns controller design for the Takagi-Sugeno (TS) fuzzy systems. The design method proposed in this paper is derived in the framework of the optimal control theory utilizing the piecewise quadratic optimal value functions. The major part of the proposed design procedure consists of solving linear matrix inequalities (LMIs). Since LMIs can be solved efficiently within a given tolerance by the recently developed interior point methods, the design procedure of this paper is useful in practice. A design example is given to illustrate the applicability of the proposed method.

Adaptive Optimal Control of a Rotary Inverted Pendulum Using Lagrange Interpolation and a Pole's Moving-Range (라그랑지 보간과 근의 이동범위를 이용한 회전형 도립진자의 적응 최적 제어)

  • Park, Minho;Han, Sang-Wan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.2
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    • pp.1066-1073
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    • 2014
  • This paper presents a new design method of optimal control of system which are changed the system parameters. The method used for this purpose are the Lagrange interpolation method and Pole's Moving range method. We selects a system within the scope of the changing the system parameters. Using pole's moving range we calculated the state weighting matrix of optimal control. The optimal controller is designed by Lagrange interpolation method of the state weighting matrix. We are compared with a traditional optimal controller and proposed method by simulation. The simulation showed that the proposed method is better control performance than traditional method of optimal controller.

Optimal configurations for redundant two-degree of freedom sensor systems (2-자유도 중첩센서의 최적배치)

  • 정도형;이장규;박찬국;박흥원;정태호
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.258-263
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    • 1991
  • Optimal configurations for redundant TDOF (Two Degree Of Freedom) sensor systems are proposed. The determinant of error covariance matrix is used as the performance index, and optimal configurations for 2 TDOF sensor system and 3 TDOF sensor system are evaluated by minimizing the index.

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Optimization of Weighting Matrix selection (상태 비중 행렬의 선택에 대한 최적화)

  • 권봉환;윤명중
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.3
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    • pp.91-94
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    • 1985
  • A method optimizing selection of a state weighting matrix is presented. The state weight-ing matrix is chosen so that the closed-loop system responses closely match to the ideal model responses. An algorithm is presented which determines a positive semidefinite state weighting matrix in the linear quadratic optimal control design problem and an numerical example is given to show the effect of the present algorithm.

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CONSTRUCTABILITY IMPLEMENTATION MODEL USING DEPENDENCY STRUCTURE MATRIX

  • Youngjib Ham;Moonseo Park;Hyun-Soo Lee
    • International conference on construction engineering and project management
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    • 2011.02a
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    • pp.550-555
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    • 2011
  • Utilizing construction knowledge and experiences in design phase can reduce change orders and improve productivity in construction phase. To do so, information must be made available to the design team in time. Current approaches for effective utilization of constructability knowledge, however, only focus on the formalization of constructability knowledge such as a checklist, which lacks the consideration of the appropriate use at the proper point in time. The inadequate use of constructability knowledge can result in unnecessary reworks. To deal with this problem, the design team needs to know what constructability knowledge is required for specific design activities in the design process. This paper presents a constructability implementation model using the dependency structure matrix (DSM) that focuses on information flows between design activities and constructability knowledge. For this objective, design activities in the design process are modeled in a matrix form based on their dependency. Then, constructability knowledge, which needs to be considered in the design stage, is mapped into activities and incorporated into the matrix, creating Constructability-DSM (C-DSM). Next, the partitioning algorithm is applied to C-DSM for optimal information flow. The Partitioned C-DSM is then analyzed based on the relationship between activities. Finally, the optimal utilization of construction knowledge in the design process is determined by identifying what constructability knowledge is required for each design activity, and how and when it is reflected to design for constructability. Thus, this research can help provide robust control actions to reduce unnecessary iterative cycles in design process for efficient constructability implementation.

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Selection of the Optimal Location of Traffic Counting Points for the OD Travel Demand Estimation (기종점 수요추정을 위한 교통량 관측지점의 적정위치 선정)

  • 이승재;이헌주
    • Journal of Korean Society of Transportation
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    • v.21 no.1
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    • pp.53-63
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    • 2003
  • The Origin-Destination(OD) matrix is very important in describing transport movements in a region. The OD matrix can be estimated using traffic counts on links in the transport network and other available information. This information on the travel is often contained in a target OD matrix and traffic counts in links. To estimate an OD matrix from traffic counts, they are the major input data which obviously affects the accuracy of the OD matrix estimated, Generally, the quality of an estimated OD matrix depends much on the reliability of the input data, and the number and locations of traffic counting points in the network. Any Process regarding the traffic counts such as the amount and their location has to be carefully studied. The objective of this study is to select of the optimal location of traffic counting points for the OD matrix estimation. The model was tested in nationwide network. The network consists of 224 zones, 3,125 nodes and 6,725 links except to inner city road links. The OD matrix applied for selection of traffic counting points was estimated to 3-constrained entropy maximizing model. The results of this study follow that : the selected alternative to the best optimal counting points of six alternatives is the alternative using common links of OD matrix and vehicle-km and traffic density(13.0% of 6,725 links), however the worst alternative is alternative of all available traffic counting points(44.9% of 6,725 links) in the network. Finally, it should be concluded that the accuracy of reproduced OD matrix using traffic counts related much to the number of traffic counting points and locations.

A Study on an Optimal Plant Design Collaboration System Using a Design Structure Matrix (Design Structure Matrix를 활용한 플랜트 설계의 최적 협업 체계에 관한 연구)

  • Yun, Jong Yi;Kim, Jeong Hwan;Kang, Sang Hyeok;Seo, Jong Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.1
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    • pp.337-346
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    • 2013
  • A design collaboration system for a plant project is a set of complicated multidisciplinary processes in which a large number of various engineering fields are involved. Each subsystem is related to each other as they depend on information that other subsystems create, which leads to inefficient design iterations. This study presents an optimal design collaboration system for a plant project using Design Structure Matrix (DSM). Data regarding design subsystems, parameters, etc. were obtained by expert surveys and workshops. An automatic analysis program for DSM was developed using Visual Basic Application and Matlab to provide a partitioned DSM. A case study was conducted on a furnace project; consequently, the optimal design collaboration system with five crucial iteration groups was derived.