• 전기학회논문지
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• 제58권9호
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• pp.1827-1833
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• 2009

This paper deals with the trajectory tracking control of wheeled mobile robots with input constraint. The proposed method converts the trajectory tracking problem to the system stability problem using the control inputs composed of feedforward and feedback terms, and then, by using Taylor series, nonlinear terms in origin system are transformed into polynomial equations. The composed system model can make it possible to obtain the control inputs using numerical tool named as SOSTOOL. From the simulation results, the mobile robot can track the reference trajectory well and can have faster convergence rate of the trajectory errors than the existing nonlinear control method. By using the proposed method, we can easily obtain the control input for nonlinear systems with input constraint.

• 한국정밀공학회지
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• 제13권7호
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• pp.78-89
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• 1996

This paper discusses automation of a small-scale hydraulic shovel and its trajectory control. To move an end-effect (grinder) along a desired trajectory, the controller uses PID(proportional-integral- defferential) control and internal pressure of hydraulic cylinder. To apply PID control in the present hydraulic system, the system model is derived physically and its system parameters are obtained by actual measurement. To show the effectiveness of the PID controller and propriety of system model, the computer simulations and experiments are performed. These results of the simulations and experiments indicate that the PID trajectory control of robotic deburring by hydraulic shovel is very effective.

• Journal of Information Processing Systems
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• 제19권5호
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• pp.563-575
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• 2023

Trajectory planning is a key technology for unmanned aerial vehicles (UAVs) to achieve complex flight missions. In this paper, a terminal constraints conversion-based Gauss pseudospectral trajectory planning optimization method is proposed. Firstly, the UAV trajectory planning mathematical model is established with considering the boundary conditions and dynamic constraints of UAV. Then, a terminal constraint handling strategy is presented to tackle terminal constraints by introducing new penalty parameters so as to improve the performance index. Combined with Gauss-Legendre collocation discretization, the improved Gauss pseudospectral method is given in detail. Finally, simulation tests are carried out on a four-quadrotor UAV model with different terminal constraints to verify the performance of the proposed method. Test studies indicate that the proposed method performances well in handling complex terminal constraints and the improvements are efficient to obtain better performance indexes when compared with the traditional Gauss pseudospectral method.

• 한국컴퓨터그래픽스학회논문지
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• 제25권3호
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• pp.133-142
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• 2019

물리기반 캐릭터 애니메이션에서 궤적 최적화(trajectory optimization) 기법은 캐릭터 동작에 대한 시스템 동역학 모델(system dynamics model)에 기반하여 가까운 최적의 미래 상태를 예측하여 캐릭터의 동작을 자동적으로 생성하는데 널리 사용되어 왔다. 캐릭터와 환경 간의 접촉 현상을 강체 충돌로 다루는 경우 일반적으로 시스템 동역학 모델은 그 수식이 닫힌 형식(closed form)으로 유도되지 못하고 미분이 불가능하다. 따라서 최근까지 많은 연구자들이 접촉 완화(contact smoothing) 기법을 통해 시스템 동역학의 수치적 미분에 기반한 효율적인 궤적 최적화 기법을 발표해 왔다. 하지만 수치적 미분 정보는 분석적 미분과 달리 부정확하기 때문에 궤적 최적화의 안정성에 영향을 미칠 수 있다. 이 문제를 해결하기 위해 본 논문에서는 접촉 완화 모델에 대한 근사화를 통해 시스템 동역학을 분석적으로 미분하여 닫힌 형식의 도함수를 유도하고, 이를 기반으로 사용자의 온라인 입력에 따라 예제 데이터 없이 이족 캐릭터의 동작을 안정적으로 생성하는 예측 제어 기법(model predictive control (MPC))을 제안한다.

• 동력기계공학회지
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• 제10권3호
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• pp.97-103
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• 2006

In this study, a position trajectory tracking control algorithm is proposed for a pneumatic artificial muscle driving apparatus composed of a actuator which imitates the muscle of human, a position sensor and a control valve. The controller applied to the driving apparatus is composed of a state feedback controller and disturbance observer. The feedback controller which feeds back position, velocity and acceleration is derived from the linear model of pneumatic artificial muscle driving apparatus. The disturbance observer is designed to improve trajectory tracking performance and to reduce the effect of model discrepancy. The effectiveness of the designed controller is proved by experiments and the experimental results show that the pneumatic artificial muscle driving apparatus with the proposed control algorithm tracks given position reference inputs accurately.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.391-399
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• 2006

In order to solve the optimization problem of designing the trajectory of three-dimensional horizontal well, we establish a multi-phase, nonlinear, stochastic dynamic system of the trajectory of horizontal well. We take the precision of hitting target and the total length of the trajectory as the performance index. By the integration of the state equation, this model can be transformed into a nonlinear stochastic programming. We discuss here the necessary conditions under which a local solution exists and depends in a continuous way on the parameter (perturbation). According to the properties we propose a revised Hooke-Jeeves algorithm and work out corresponding software to calculate the local solution of the nonlinear stochastic programming and the expectancy of the performance index. The numerical results illustrate the validity of the proposed model and algorithm.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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• pp.980-984
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• 1990

In order to find the optimal control law for the precise trajectory tracking of a robot manipulator, a perturbational control method is proposed based on a linearized manipulator dynamic model which can be obtained in a very compact and computationally efficient manner using the dual number algebra. Manipulator control can be decomposed into two parts: the nominal control and the corrective perturbational control. The nominal control is precomputed from the inverse dynamic model using the quantities of a desired trajectory. The perturbational control is obtained by applying the second-variational method on the linearized dynamic model. Simulation results for a PUMA-560 robot show that, by using this controller, the desired trajectory tracking performance of the robot can be achieved, even in the presence of large initial positional disturbances.

• Wind and Structures
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• 제22권1호
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• pp.17-41
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• 2016

To address the uncertainty of the flight trajectories caused by the turbulence and gustiness of the wind field over the roof and in the wake of a building, a 3-D probabilistic trajectory model of flat-type wind-borne debris is developed in this study. The core of this methodology is a 6 degree-of-freedom deterministic model, derived from the governing equations of motion of the debris, and a Monte Carlo simulation engine used to account for the uncertainty resulting from vertical and lateral gust wind velocity components. The influence of several parameters, including initial wind speed, time step, gust sampling frequency, number of Monte Carlo simulations, and the extreme gust factor, on the accuracy of the proposed model is examined. For the purpose of validation and calibration, the simulated results from the 3-D probabilistic trajectory model are compared against the available wind tunnel test data. Results show that the maximum relative error between the simulated and wind tunnel test results of the average longitudinal position is about 20%, implying that the probabilistic model provides a reliable and effective means to predict the 3-D flight of the plate-type wind-borne debris.

• 대한전기학회논문지
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• 제39권10호
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• pp.1121-1232
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• 1990

A hierarchical neural network structure is described for robot PTP trajectory planning. In the first level, the multi-layered Perceptron neural network is used for the inverse kinematics with the back-propagation learning procedure. In the second level, a saccade generation model based joint trajectory planning model in proposed and analyzed with several features. Various simulations are performed to investigate the characteristics of the proposed neural networks.

• 한국항공우주학회지
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• 제46권1호
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• pp.41-51
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• 2018

무장 헬리콥터에서 발사되는 무유도 로켓은 로터 블레이드에 의한 내리흐름과 전후좌우 기동으로 인한 외풍에 의해 전체 궤적 및 사거리가 변화하므로, 내리흐름 효과를 고려하여 무유도 로켓의 궤적을 예측하는 것이 중요하다. 내리흐름 효과를 고려한 무유도 로켓의 궤적 및 사거리를 예측하기 위해, 본 연구에서 여러 외풍 조건에 따른 후류 영역을 Actuator Disk Model(ADM)로 계산하고 6 자유도 (6 DOF) 운동 해석으로 무유도 로켓의 자세 및 전체 비행 궤적을 예측할 수 있는 알고리즘을 개발하였다. 개발된 알고리즘은 ADM 해석 결과를 6 자유도에 반영하여 다양한 초기 발사조건에서 무유도 로켓의 전체 궤적을 예측할 수 있고, 기존 Inflow model을 이용한 내리흐름 해석과는 다르게 동체와의 간섭효과를 고려하여 비교적 정확한 내리흐름 및 다양한 외풍 환경 조건으로 궤적을 예측 할 수 있다. 개발된 알고리즘을 이용하여, 내리흐름 효과에 의한 무유도 로켓의 자세 및 궤적 변화 메커니즘을 유효 받음각 변화와 기수 자세 안정성으로 규명하였다. 그리고 외풍으로 인해 변화하는 내리흐름 효과를 고려하여 무유도 로켓의 궤적변화와 사거리를 계산한 결과, 후방 외풍 시 최대 13% 사거리 증가를 보였다. 사거리 증가의 주요 요인으로 내리흐름 영역과 강도, 부차적 요인으로 외풍과 동체와의 간섭효과, 동압의 크기인 것을 밝혔다. 또한 사거리 변화량이 가장 큰 후방 외풍에서, 후방 외풍의 풍속이 증가함에 따라 로켓의 사거리가 증가하였다. 하지만 특정 후방 외풍 크기 이상에서 더 이상 로켓 사거리가 증가하지 않는 한계를 보였다.