• 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.

• International Journal of Automotive Technology
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• 제2권3호
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• pp.117-122
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• 2001

For a dynamic analysis of a constrained multibody system, it is necessary to have a routine for satisfying kinematic constraints. LU decomposition scheme, which is used to divide coordinates into dependent and independent coordinates, is efficient but has great difficulty near the singular configuration. Other method such as the projection matrix, which is more stable near a singular configuration, takes longer simulation time due to the large amount of calculation for decomposition. In this paper, the row space and the null space of the Jacobian matrix are proposed by using the pseudo-inverse method and the projection matrix. The equations of the motion of a system are replaced with independent acceleration components using the null space of the Jacobian matrix. Also a new hybrid method is proposed, combining the LU decomposition and the projection matrix. The proposed hybrid method has following advantages. (1) The simulation efficiency is preserved by the LU method during the simulation. (2) The accuracy of the solution is also achieved by the projection method near the singular configuration.

• 로봇학회논문지
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• 제17권1호
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• pp.32-39
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• 2022

Since the mobile platform and the manipulator mounted on it move at the same time in a mobile manipulator, the risk of mutual collision increases. Most of the studies on collision avoidance of mobile manipulators cannot be applied to differential drive type mobile platforms or the end-effector tends to deviate from the desired trajectory for collision avoidance. In this study, a collision avoidance algorithm based on null space projection (CANS) that solves these two problems is proposed. To this end, a modified repulsive force that overcomes the non-holonomic constraints of a mobile platform is generated by adding a virtual repulsive force in the direction of its instantaneous velocity. And by converting this repulsive force into a repulsive velocity and applying it to the null space, the end-effector of the robot avoids a collision while moving along its original trajectory. The proposed CANS algorithm showed excellent performance through self-collision avoidance tests and door opening tests.

• Journal of the Optical Society of Korea
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• 제6권2호
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• pp.21-26
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• 2002

Interferometric metrology with a null CGH(computer-generated hologram) is presented for measuring highly aspheric surfaces used in a large screen projection television system with high accuracy. The cubic spline surface model which works in a single-pass configuration with a refractive index of object space 0 is used for designing a null CGH. A hybrid null corrector with plano-concave lens in front of a CGH is presented to make the CGH easier to fabricate. Experimental results are presented to demonstrate the validity of the proposed technique.

• 한국통신학회논문지
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• 제36권4A호
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• pp.399-406
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• 2011

적응 빔 형성기 (adaptive beamformer)는 원하는 신호의 도래각 정보를 이용하여 간섭신호를 제거하면서 원하는 신호 방향으로 어레이 이득을 최대로 한다. 그러나 도래각 정보가 정확치 않다면, 원하는 신호도 감쇠되어 심각한 성능저하가 발생한다. 이러한 문제에 대처하기위해, 신호차단에 기초하여 적응 빔을 형성하는 Duvall 구조를 이용하여, 효과적으로 원하는 신호의 도래각 추정을 통해 에러에 강인한 적응 빔 형성방법을 제시하였다. 제시된 방법에서는 간섭신호공간을 추정하여 이에 직교하도록 간단한 계산을 통해 가중벡터를 구하며, 특히 센서의 수가 많을수록 기존 방식에 비해 계산량의 절감이 크다.

• 한국음향학회지
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• 제23권4호
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• pp.288-295
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• 2004

천해는 속도가 빠르고 강한 간섭표적으로 인하여 신호단편 (snapshot) 수가 제한되어 인접한 느리고 약한 표적을 탐지하기 어려운 환경이다. 천해환경에서 적응정합장처리에 적용하여 고소음의 간섭표적의 효과를 줄일 수 있는 도파관 공간의 간섭표적 필터링 기법을 제안하였다. 이를 위하여 NDC (null direction constraint)를 적용한 MCM (multiple constraint method) 기법을 새로운 공간간섭 필터로 제안하였다. NDC는 복제음장을 이용하여 CSDM (cross-spectral density matrix)에 포함되어있는 강한 소음원 성분을 강제적으로 걸러줌으로서, 부엽 준위가 낮아지고 저소음표적 신호의 이득을 복원시킨다. 이 기법을 Pekeris 도파관에서의 시뮬레이션 및 동해에서 수행한 정합장처리 실험인 HAPLE03 (matched acoustic properties and localization experiment)의 수직선배열 자료에 적용하였으며, 그 결과 인접한 저소음 표적의 SBNR (signal-to-background-and-noise ratio)이 MVDR (minimum variance distortionless response)과 NSP (null space projection) 보다 향상되었다.

• 한국자동차공학회논문집
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• 제5권1호
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• pp.154-161
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• 1997

This paper presents the method to eliminate the constraint reaction in the Lagrange multiplier form equation of motion by using a generalized coordinate driveder from the velocity constraint equation. This method introduces a matrix method by considering the m dimensional space spanned by the rows of the constraint jacobian matrix. The orthogonal vectors defining the constraint manifold are projected to null vectors by the tangential vectors defined on the constraint manifold. Therefore the orthogonal projection matrix is defined by the tangential vectors. For correcting the generalized position coordinate, the optimization problem is formulated. And this correction process is analyzed by the quasi Newton method. Finally this method is verified through 3 dimensional vehicle model.

• 한국군사과학기술학회지
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• 제18권4호
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• pp.451-458
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• 2015

This paper handles self-collision avoidance for a rescue robot with redundant manipulators. In order to detect all available self-collisions in advance, minimum distances between arbitrary robot parts should be monitored in real-time. For the minimum distance estimation, we suggest a modified method from a previous skeleton algorithm which has less computation burden and realize collision avoidance based on a potential function using the proposed algorithm. The resultant command by collision avoidance should not disturb a given primary task, so null-space of joint solution from a CLIK is utilized for collision avoidance by a gradient projection method.