• Title/Summary/Keyword: Optimal trajectory

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A Study On The Trajectory Control of A SCARA Robot Using Sliding Mode (슬라이딩모드를 이용한 SCARA 로보트의 궤적제어에 관한 연구)

  • 이민철;진상영;이만형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.99-110
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    • 1995
  • An industrial robot needs a simple and robust control algorithm obtaining high precision control performance in spite of disturbance and parameter's change. In this paper, for solving this problem, a new sliding mode control algorithm is proposed and applied to the trajectory control of a SCARA type robot. The proposed algorithm has diminished the chattering occurring in sliding mode by setting a dead band along the switching line on the phase plane. It shows that we can easily obtain a simple switching control input satisfying sliding mode in spite of regarding nonlinear terms of a manipulator and servo system as disturbance. A guideline for selection of dead-band width is determined by optimal value of cost function presenting magnitudes of chattering and error. By this algorithm, we can expect the high performance of the trajectory tracking of an industrial robot which needs a robust and simple algorithm.

Design Characteristics of Permanent Magnet Linear Synchronous Motor for Short Reciprocating Trajectory

  • Jung, Sang-Yong
    • Journal of IKEEE
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    • v.11 no.1 s.20
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    • pp.46-53
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    • 2007
  • Design characteristics of PMLSM(Permanent Magnet Linear Synchronous Motor) considering the dynamic running condition under the limited input voltage and current for short reciprocating trajectory are presented. Particularly, the dynamic constraints resulted from the dynamic capability of PMLSM and the required motional performance of the repeated short stroke are applied to determine the design specification of PMLSM. In addition, optimal design flow based on the dynamic constraints is specified with the design parameters, such as coil resistances, the EMF constants, inductances, pole-pitch. Furthermore, proposed methods and results are validated by the experimental ones measured with the purpose-built prototype.

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Topology Optimization of Geometrically Nonlinear Structure Considering Load-Displacement Trajectory (하중-변위 관계를 고려한 기하 비선형 구조물의 위상 최적 설계)

  • Noh, Jin-Yee;Yoon, Gil-Ho;Kim, Yoon-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.8
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    • pp.779-785
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    • 2009
  • This paper is concerned with a computational approach for topology optimization of geometrically nonlinear structures following specific load-displacement trajectories. In our previous works, attention was paid to stabilize topology optimization involving large displacement and a method called the element connectivity parameterization was developed. Here, we aimed to extend the element connectivity parameterization method to find an optimal geometrically nonlinear structure yielding a specific load-displacement trajectory. In contrast to designing a stiffest structure, the trajectory design problem requires special consideration in topology optimization formulation and solution procedure. Some numerical problems were considered to test the developed element connectivity parameterization based formulation.

Base Station Placement for Wireless Sensor Network Positioning System via Lexicographical Stratified Programming

  • Yan, Jun;Yu, Kegen
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.11
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    • pp.4453-4468
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    • 2015
  • This paper investigates optimization-based base station (BS) placement. An optimization model is defined and the BS placement problem is transformed to a lexicographical stratified programming (LSP) model for a given trajectory, according to different accuracy requirements. The feasible region for BS deployment is obtained from the positioning system requirement, which is also solved with signal coverage problem in BS placement. The LSP mathematical model is formulated with the average geometric dilution of precision (GDOP) as the criterion. To achieve an optimization solution, a tolerant factor based complete stratified series approach and grid searching method are utilized to obtain the possible optimal BS placement. Because of the LSP model utilization, the proposed algorithm has wider application scenarios with different accuracy requirements over different trajectory segments. Simulation results demonstrate that the proposed algorithm has better BS placement result than existing approaches for a given trajectory.

A Study on the Learning Method for Induction Motor Trajectory using a Neuro-Fuzzy Networks (뉴로-퍼지 네트워크에 의한 유도전동기 궤적의 학습에 관한 연구)

  • Yang, Seung-Ho;Kim, Sei-Chan;Kim, Duk-Hun;Yoo, Dong-Wook;Won, Chung-Yuen
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.331-333
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    • 1994
  • A learning method for induction motor trajectory using neuro-fuzzy networks (NFN) based on fusion of fuzzy logic theory and neural networks is proposed. The premise and consequent parameters of the NFN affecting the controllers performances are modified during the learning stages by the proposed learning method to implement an optimal controller only with pre-determined target trajectory and the least amount of knowledge about an induction motor. The induction motor position control system is simulated to verify the effectiveness of the learned NF controller(NFC). The simulation results shows that the proposed learning method has good dynamic performance and small steady state error.

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ON A TIME-CONSISTENT SOLUTION OF A COOPERATIVE DIFFERENTIAL TIME-OPTIMAL PURSUIT GAME

  • Kwon, O-Hun;Svetlana, Tarashinina
    • Journal of the Korean Mathematical Society
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    • v.39 no.5
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    • pp.745-764
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    • 2002
  • In this paper we Study a time-optimal model of pursuit in which the players move on a plane with bounded velocities. This game is supposed to be a nonzero-sum group pursuit game. The main point of the work is to construct and compare cooperative and non-cooperative solutions in the game and make a conclusion about cooperation possibility in differential pursuit games. We consider all possible cooperations of the players in the game. For that purpose for every game $\Gamma(x_0,y_0,z_0)$ we construct the corresponding game in characteristic function form $\Gamma_v(x_0,y_0,z_0)$. We show that in this game there exists the nonempty core for any initial positions of the players. The core can take four various forms depending on initial positions of the players. We study how the core changes when the game is proceeding. For the original agreement (an imputation from the original core) to remain in force at each current instant t it is necessary for the core to be time-consistent. Nonemptiness of the core in any current subgame constructing along a cooperative trajectory and its time-consistency are shown. Finally, we discuss advantages and disadvantages of choosing this or that imputation from the core.

A Study on Path Planning Algorithm of a Mobile Robot for Obstacle Avoidance using Optimal Design Method

  • Tran, Anh-Kim;Suh, Jin-Ho;Kim, Kwang-Ju;Kim, Sang-Bong
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.168-173
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    • 2003
  • In this paper, we will present a deeper look on optimal design methods that are related to path-planning for a mobile robot. To control the motion of a mobile robot in a clustered environment, it's necessary to know a suitable trajectory assuming certain start and goal point. Up to now, there are many literatures that concern optimal path planning for an obstacle avoided mobile robot. Among those literatures, we have chosen 2 novel methods for our further analysis. The first approach [4] is based on HJB(Hamilton-Jacobi-Bellman) equation whose solution is the return-function that helps to generate a shortest path to the goal. The later [5] is called polynomial-path-planning approach, in this method, a shortest polynomial-shape path would become a solution if it was a collision-free path. The camera network plays the role as sensors to generate updated map which locates the static and dynamic objects in the space. Therefore, the exhibition of both path planning and dynamic obstacle avoidance by the updated map would be accomplished simultaneously. As we mentioned before, our research will include the motion control of a true mobile robot on those optimal planned paths which were generated by above algorithms. Base on the kinematic and dynamic simulation results, we can realize the affection of moving speed to the stable of motion on each generated path. Also, we can verify the time-optimal trajectory through velocity tuning. To simplify for our analysis, we assumed the obstacles are cylindrical circular objects with the same size.

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Dynamic Equations of Motion and Trajectory Optimization for the Mid-Altitude Unmanned Airship Platform (중고도 무인비행선의 궤적 생성을 위한 운동방정식 유도 및 궤적 최적화)

  • Lee, Sang-Jong;Bang, Hyo-Chung;Hong, Jin-Seong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.5
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    • pp.46-55
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    • 2006
  • In general, 3-dimensional point-mass equation has been widely used for the trajectory optimization of the fixed-wing aircraft and reentry vehicle. But it should be modified and represent target vehicle's own characteristics. For a lighter-than-air vehicle such as an airship, there exists different and peculiar flight characteristics compared with the aircraft. The first part of this paper is to derive the dynamic equation of motion for the mid-altitude unmanned airship and the second part is to obtain the optimal trajectories under the minimal time flight given constraints. The trajectory optimization problem is converted into the nonlinear programming problem using Sequential Quadratic Programming approach. Finally numerical solutions are presented in the last part of the paper.

Multiple revolution Lunar Trajectory Design using Impulsive Thrust

  • Kang, Hye-Young;Song, Young-Joo;Park, Sang-Young;Choi, Kyu-Hong;Sim, Eun-Sup
    • Bulletin of the Korean Space Science Society
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    • 2008.10a
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    • pp.25.3-26
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    • 2008
  • The direct way to the moon is to start from the parking orbit by using impulsive thruster In previous domestic research, the direct way has been studied by using a single impulsive shot. However, when a single impulsive shot occurs to go into a Translunar orbit, gravity losses occur because thruster is not impulsive shot but the finite burns and it causes the gravity losses. To make up for the weak point of a single impulsive shot, this paper divides TLI (Trans Lunar Injection) into several small burns. Therefore, departure loop trajectory and the Translunar trajectory. This method is useful not only to reduce the gravity losses but also to check the condition of satellite. By using this method, this paper demostrates the optimized trajectory from Earth parking orbit to lunar mission orbit which minimizes the fuel, and the SNOPT (Sparse Nonlinear OPTimizer software) is used to find optimal solution. Also, this paper provides lunar mission profile which includes the mission schedule when TLI, LOI (Lunar Orbit Insertion) maneuvers occur, a mount of fuel when thruster is used and other mission parameters.

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A Preliminary Impulsive Trajectory Design for (99942) Apophis Rendezvous Mission

  • Kim, Pureum;Park, Sang-Young;Cho, Sungki;Jo, Jung Hyun
    • Journal of Astronomy and Space Sciences
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    • v.38 no.2
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    • pp.105-117
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    • 2021
  • In this study, a preliminary trajectory design is conducted for a conceptual spacecraft mission to a near-Earth asteroid (NEA) (99942) Apophis, which is expected to pass by Earth merely 32,000 km from the Earth's surface in 2029. This close approach event will provide us with a unique opportunity to study changes induced in asteroids during close approaches to massive bodies, as well as the general properties of NEAs. The conceptual mission is set to arrive at and rendezvous with Apophis in 2028 for an advanced study of the asteroid, and some near-optimal (in terms of fuel consumption) trajectories under this mission architecture are to be investigated using a global optimization algorithm called monotonic basin hopping. It is shown that trajectories with a single swing-by from Venus or Earth, or even simpler ones without gravity assist, are the most feasible. In addition, launch opportunities in 2029 yield another possible strategy of leaving Earth around the 2029 close approach event and simply following the asteroid thereafter, which may be an alternative fuel-efficient option that can be adopted if advanced studies of Apophis are not required.