• 제목/요약/키워드: Pseudo-inverse Matrix

검색결과 38건 처리시간 0.026초

Pseudo Jacket 행렬을 이용한 MIMO SVD Channel (Pseudo Jacket Matrix and Its MIMO SVD Channel)

  • 양재승;김정수;이문호
    • 한국인터넷방송통신학회논문지
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    • 제15권5호
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    • pp.39-49
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    • 2015
  • Jacket Matrices: Construction and Its Application for Fast Cooperative Wireless signal Processing[27]에 소개된 Jacket 행렬로부터 일반화된 의사 Jacket 행렬에 대한 특성과 생성에 관한 정리가 발표됐다. 본 논문에서는 MIMO 채널과 같이 $2{\times}4$, $3{\times}6$ 같은 비정방 행렬에서의 의사 Jacket 역행렬에 대한 예제를 제안했다. 또한 의사 MIMO 특이값 분해 (SVD, Singular Value Decomposition) channel을 추론하여 적용하였으며 안테나 어레이를 분할하여 추정하는 채널을 기반으로 SVD를 활용하는데 적용하였다. 이것은 MIMO 채널 및 고유값 분해 (EVD, Eigen Value decomposition) 등에 사용할 수 있다.

Hexacopter의 대칭성을 이용한 구동기 고장 추정 방법 (Actuator Fault Estimation Method using Hexacopter Symmetry)

  • 이찬혁;박민기
    • 제어로봇시스템학회논문지
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    • 제22권7호
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    • pp.519-523
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    • 2016
  • This paper proposes a method of estimating the actuator faults of a hexacopter without using encoders when one or more of six actuators do not operate normally. In the case of the hexacopter, a Pseudo-Inverse matrix is generally used to obtain the rotational speed of the actuators because the matrix that transforms the rotational speed of the actuators into the thrust and torque of the body coordinate system is not a square matrix. However, the method based on the Pseudo-Inverse matrix cannot detect the actuator faults correctly because the Pseudo-Inverse matrix is approximate. In the proposed method, the actuator faults are estimated by modifying the transform matrix using the property that the actuators of the hexacopter are symmetrical. The simulation results show the effectiveness of the proposed method when faults occur in one or more of the six actuators.

유사 역행렬을 이용한 여유자유도 3차원 유연 매니퓰레이터의 위치 및 진동제어 (Position and Vibration Control of a Spatial Redundant Flexible Manipulator by using Pseudo-inverse of Jacobian)

  • 김진수
    • 한국정밀공학회지
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    • 제18권12호
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    • pp.66-72
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    • 2001
  • In this paper, by using pseudo-inverse matrix of the spatial redundant flexible manipulators, a position control method and its effect in vibration suppression was presented. Vibration suppression control was developed using lumped mass spring model of the flexible manipulators. With 2 elastic links and 7 rotory joint manipulator ADAM, (1)position control for no redundancy, and (2)position control for one redundant DOF(degree of freedom) were tested. The objective of this experiment is to show the effect of position control, using pseudo-inverse matrix. toward the improvement of operation, and at the same time, to reduce the vibration of the link and the magnitude of the joint torque.

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준역행렬과 투영행렬을 이용한 구속 다물체계의 동역학 해석 (A dynamic analysis for constrained multibody systems using pseudo-inverse and projection matrix)

  • 김외조;유완석
    • 대한기계학회논문집A
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    • 제22권1호
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    • pp.170-176
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    • 1998
  • In this paper, the column space and null space of the Jacobian matrix were obtained by using the pseudo-inverse method and projection matrix. The equations of motion of the system were replaced by independent acceleration components using the null space matrix. The proposed method has the following advantages. (1) It is simple to derive the null space. (2) The efficiency is improved by getting rid of constrained force terms. (3) Neither null space updating nor coordinate partitioning method is required. The suggested algorithm is applied to a three-dimensional vehicle model to show the efficiency.

의사 역행렬을 이용한 애니메이션의 초개인적 갈등(SPC) 강도 관련 다학제적 연구 (Research of the Strength of Super Personal Conflicts in Animations using Pseudo Inverse)

  • 김재호;장정양;왕위차오;장소은;이태린
    • 한국과학예술포럼
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    • 제30권
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    • pp.41-56
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    • 2017
  • 본 연구는 애니메이션 갈등의 VST 특징을 조사하고 강도를 측정한 이태린의 연구 결과에 대한 심화연구로 초개인적 갈등영상과 초개인적 갈등 값을 기반으로 시작되었다. 본 연구의 목적은 초개인적 갈등 강도 값(ESSPC)을 자동 계산하는 모델을 찾아내는 것이다. 따라서 본 논문에서 SPC 영상을 분석하였으며, ESSPC 값을 자동 계산하는 모델을 찾아내기 위해 의사 역행렬(Pseudo Inverse matrix)을 사용하였다. 연구결과 및 내용은 다음과 같다. 이들을 활용하여, 1)SPC를 분석하기 위한 20 개의 영상 Feature값을 제안하였다. 그리고 2)의사 역행렬(Pseudo Inverse matrix)을 사용하여 ESSPC 값을 자동 계산하는 선형모델을 찾아냈다. 그 결과로 3)제안된 시스템은 9.25%의 평균 자승오차의 제곱근 보이며, 그 효율성이 증명되었다. 이러한 연구결과를 바탕으로 이를 계속 발전시켜 성공적 애니메이션의 제작을 위한 자동 검증시스템을 개발하고자 한다.

Fuzzy Logic Control for a Redundant Manipulator -Resolved Motion Rate Control

  • Kim, Sung-Woo;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.479-484
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    • 1992
  • The resolved motion rate control (RMRC) is converting to Joint space trajectory from given Cartesian space trajectory. The RMRC requires the inverse of Jacobian matrix. Since the Jacobian matrix of the redundant robot is generally not square, the pseudo-inverse must be introduced. However the pseudo-inverse is not easy to be implemented on a digital computer in real time as well as mathematically complex. In this paper, a simple fuzzy resolved motion rate control (FRMRC) that can replace the RMRC using pseudo-inverse of Jacobian is proposed. The proposed FRMRC with appropriate fuzzy rules, membership functions and reasoning method can solve the mapping problem between the spaces without complexity. The mapped Joint space trajectory is sufficiently accurate so that it can be directly used to control redundant manipulators. Simulation results verify the efficiency of the proposed idea.

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로봇 메니퓰레이터의 제어를 위한 특이점 회피 알고리즘의 비교 연구 (Singularity Avoidance Algorithms for Controlling Robot Manipulator: A Comparative Study)

  • 김상현;박재홍
    • 로봇학회논문지
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    • 제12권1호
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    • pp.42-54
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    • 2017
  • Using an inverse of the geometric Jacobian matrix is one of the most popular ways to control robot manipulators, because the Jacobian matrix contains the relationship between joint space velocities and operational space velocities. However, the control algorithm based on Jacobian matrix has algorithmic singularities: The robot manipulator becomes unstable when the Jacobian matrix loses rank. To solve this problem, various methods such as damped and filtered inverse have been proposed, but comparative studies to evaluate the performance of these algorithms are insufficient. Thus, this paper deals with a comparative analysis of six representative singularity avoidance algorithms: Damped Pseudo Inverse, Error Damped Pseudo Inverse, Scaled Jacobian Transpose, Selectively Damped Inverse, Filtered Inverse, and Task Transition Method. Especially, these algorithms are verified through computer simulations with a virtual model of a humanoid robot, THORMANG, in order to evaluate tracking error, computational time, and multiple task performance. With the experimental results, this paper contains a deep discussion about the effectiveness and limitations of each algorithm.

실하중 이력에 의한 조인트의 동적강도해석 (Dynamic Stress Analysis of joint by Practical Dynamic Load History)

  • 송준혁;강희용;양성모
    • 한국공작기계학회논문집
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    • 제10권5호
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    • pp.118-123
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    • 2001
  • Most structures of automobile are composed of many substructures connected to one another by various types of mechanical joints. In automotive engineering, it is important to study these connected structures under various dynamic farces for the evaluations of fatigue life and stress concentration exactly. It is rarely obtained the accurate load history of specified positions because of the errors such as modeling, measurement, and etc. In the beginning of design, exact load data are actually necessary for the fatigue strength and life analysis to minimize the cost and time of designing. In this paper, the procedure of practical dynamic load determination is developed by the combination of the principal stresses of F.E. analysis and experiment. Inverse problem and least square pseudo inverse matrix are adopted to obtain an inverse matrix of analyzed stresses matrix. Pseudo-Practical dynamic load was calculated for Lab. Test of sub-structure. GUI program(PLODAS) was developed for whole of above procedure. This proposed method could be extended to any geometric shape of structure.

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Optimal control approach to resolve the redundancy of robot manipulators

  • Kim, Sung-Woo;Leen, Ju-Jang;Sugisaka, Masanori
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.234-239
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    • 1993
  • Most of the control problem is for the redundant manipulators use the pseudo-inverse control, thit is, the redundancy is resolved by the pseudo-inverse of the Jacobian matrix and then the controller is designed based on this resolution. However, this pseudo-inverse control has some problems when the redundant robot repeats the cyclic tasks. This is because the pseudo-inverse resolution is a local solution that generates the different configurations of the robot arm for the same hand position. Therefore it is necessary to find the global solution that maintains the optimal configuration of the robot for the repetitive tasks. In this paper, we want to propose a redundancy resolution method by the optimal theory that uses the calculus of variation. The problem formulations are : first to convert the optimal resolution problem to an optimal control problem and then to resolve the redundancy using the necessary conditions of optimal control.

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PM10 예보 향상을 위한 민감도 분석에 의한 역모델 파라메터 추정 (Inverse Model Parameter Estimation Based on Sensitivity Analysis for Improvement of PM10 Forecasting)

  • 유숙현;구윤서;권희용
    • 한국멀티미디어학회논문지
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    • 제18권7호
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    • pp.886-894
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    • 2015
  • In this paper, we conduct sensitivity analysis of parameters used for inverse modeling in order to estimate the PM10 emissions from the 16 areas in East Asia accurately. Parameters used in sensitivity analysis are R, the observational error covariance matrix, and B, a priori (background) error covariance matrix. In previous studies, it was used with the predetermined parameter empirically. Such a method, however, has difficulties in estimating an accurate emissions. Therefore, an automatically determining method for the most suitable value of R and B with an error measurement criteria and posteriori emissions accuracy is required. We determined the parameters through a sensitivity analysis, and improved the accuracy of posteriori emissions estimation. Inverse modeling methods used in the emissions estimation are pseudo inverse, NNLS (Nonnegative Least Square), and BA(Bayesian Approach). Pseudo inverse has a small error, but has negative values of emissions. In order to resolve the problem, NNLS is used. It has a unrealistic emissions, too. The problems are resolved with BA(Bayesian Approach). We showed the effectiveness and the accuracy of three methods through case studies.