• Title/Summary/Keyword: Path Planning and Control

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Application of Quadratic Algebraic Curve for 2D Collision-Free Path Planning and Path Space Construction

  • Namgung, Ihn
    • International Journal of Control, Automation, and Systems
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    • v.2 no.1
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    • pp.107-117
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    • 2004
  • A new algorithm for planning a collision-free path based on an algebraic curve as well as the concept of path space is developed. Robot path planning has so far been concerned with generating a single collision-free path connecting two specified points in a given robot workspace with appropriate constraints. In this paper, a novel concept of path space (PS) is introduced. A PS is a set of points that represent a connection between two points in Euclidean metric space. A geometry mapping (GM) for the systematic construction of path space is also developed. A GM based on the 2$^{nd}$ order base curve, specifically Bezier curve of order two is investigated for the construction of PS and for collision-free path planning. The Bezier curve of order two consists of three vertices that are the start, S, the goal, G, and the middle vertex. The middle vertex is used to control the shape of the curve, and the origin of the local coordinate (p, $\theta$) is set at the centre of S and G. The extreme locus of the base curve should cover the entire area of actual workspace (AWS). The area defined by the extreme locus of the path is defined as quadratic workspace (QWS). The interference of the path with obstacles creates images in the PS. The clear areas of the PS that are not mapped by obstacle images identify collision-free paths. Hence, the PS approach converts path planning in Euclidean space into a point selection problem in path space. This also makes it possible to impose additional constraints such as determining the shortest path or the safest path in the search of the collision-free path. The QWS GM algorithm is implemented on various computer systems. Simulations are carried out to measure performance of the algorithm and show the execution time in the range of 0.0008 ~ 0.0014 sec.

Cooperative Path Planning of Dynamical Multi-Agent Systems Using Differential Flatness Approach

  • Lian, Feng-Li
    • International Journal of Control, Automation, and Systems
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    • v.6 no.3
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    • pp.401-412
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    • 2008
  • This paper discusses a design methodology of cooperative path planning for dynamical multi-agent systems with spatial and temporal constraints. The cooperative behavior of the multi-agent systems is specified in terms of the objective function in an optimization formulation. The path of achieving cooperative tasks is then generated by the optimization formulation constructed based on a differential flatness approach. Three scenarios of multi-agent tasking are proposed at the cooperative task planning framework. Given agent dynamics, both spatial and temporal constraints are considered in the path planning. The path planning algorithm first finds trajectory curves in a lower-dimensional space and then parameterizes the curves by a set of B-spline representations. The coefficients of the B-spline curves are further solved by a sequential quadratic programming solver to achieve the optimization objective and satisfy these constraints. Finally, several illustrative examples of cooperative path/task planning are presented.

Semi-3D Path Planning using Virtual Tangential Vector and Fuzzy Control (Virtual Tangential Vector와 퍼지 제어를 이용한 준 3차원 경로계획)

  • Kwak, Kyung-Woon;Jeong, Hae-Kwan;Kim, Soo-Hyun
    • The Journal of Korea Robotics Society
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    • v.5 no.2
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    • pp.127-134
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    • 2010
  • In this paper, a hybrid semi-3D path planning algorithm combining Virtual Tangential Vector(VTV) and fuzzy control is proposed. 3D dynamic environmental factors are reflected to the 2D path planning model, VTV. As a result, the robot can control direction from 2D path planning algorithm VTV and speed as well depending on the fuzzy inputs such as the distance between the robot and obstacle, roughness and slope. Performances and feasibilities of the suggested method are demonstrated by using Matlab simulations. Simulation results show that fuzzy rules and obstacle avoidance methods are working properly toward virtual 3D environments. The proposed hybrid semi-3D path planning is expected to be well applicable to a real life environment, considering its simplicity and realistic nature of the dynamic factors included.

Temporal Waypoint Revision Method to Solve Path Mismatch Problem of Hierarchical Integrated Path Planning for Mobile Vehicle (이동 차량의 계층적 통합 경로 계획의 경로 부조화 문제 해결을 위한 임시 경유점 수정법)

  • Lee, Joon-Woo;Seok, Joon-Hong;Ha, Jung-Su;Lee, Ju-Jang;Lee, Ho-Joo
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.7
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    • pp.664-668
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    • 2012
  • Hierarchical IPP (Integrated Path Planning) combining the GPP (Global Path Planner) and the LPP (Local Path Planner) is interesting the researches who study about the mobile vehicle in recent years. However, in this study, there is the path mismatch problem caused by the difference in the map information available to both path planners. If ever a part of the path that was found by the GPP is available to mobile vehicle, the part may be unavailable when the mobile vehicle generates the local path with its built-in sensors while the vehicle moves. This paper proposed the TWR (Temporal Waypoint Reviser) to solve the path mismatch problem of the hierarchical IPP. The results of simulation provide the performance of the IPP with the TWR by comparing with other path planners.

A Path Planning of a Mobile Robot Using the Ultrasonic Sensor and Fuzzy Logic (초음파 센서와 퍼지로직을 이용한 이동로봇의 경로계획)

  • Park, Chang-Soo;Lee, Jong-Soo
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.627-629
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    • 1999
  • The research fields of mobile robot consist of three parts. The first is path planning, the second is the application of new sensors, and the last is a combination of the communication technology and mobile robot. In this paper we treat the path-planning. We use a Bayesian probability map, Distance Transform and Fuzzy logic for a path-planning. DT and Fuzzy logic algorithms search for path in entire, continuous free space and unifies global path planning and local path planning. It is efficient and effective method when compared with navigators using traditional approaches.

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A Study on a Path Planning and Real-Time Trajectory Control of Autonomous Travelling Robot for Unmanned FA (무인FA를 위한 자율주행 로봇의 경로계획 및 실시간 궤적제어에 관한 연구)

  • Kim, Hyeun-Kyun;Sim, Hyeon-Suk;Hwang, Won-Jun
    • Journal of the Korean Society of Industry Convergence
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    • v.19 no.2
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    • pp.75-80
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    • 2016
  • This study proposes a efficient technology to control the optimal trajectory planning and real-time implementation method which can perform autonomous travelling for unmaned factory automation. Online path planning should plan and execute alternately in a short time, and hence it enables the robot avoid unknown dynamic obstacles which suddenly appear on robot's path. Based on Route planning and control algorithm, we suggested representation of edge cost, heuristic function, and priority queue management, to make a modified Route planning algorithm. Performance of the proposed algorithm is verified by simulation test.

Efficient Path Planning of a High DOF Multibody Robotic System using Adaptive RRT (Adaptive RRT를 사용한 고 자유도 다물체 로봇 시스템의 효율적인 경로계획)

  • Kim, Dong-Hyung;Choi, Youn-Sung;Yan, Rui-Jun;Luo, Lu-Ping;Lee, Ji Yeong;Han, Chang-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.3
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    • pp.257-264
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    • 2015
  • This paper proposes an adaptive RRT (Rapidly-exploring Random Tree) for path planning of high DOF multibody robotic system. For an efficient path planning in high-dimensional configuration space, the proposed algorithm adaptively selects the robot bodies depending on the complexity of path planning. Then, the RRT grows only using the DOFs corresponding with the selected bodies. Since the RRT is extended in the configuration space with adaptive dimensionality, the RRT can grow in the lower dimensional configuration space. Thus the adaptive RRT method executes a faster path planning and smaller DOF for a robot. We implement our algorithm for path planning of 19 DOF robot, AMIRO. The results from our simulations show that the adaptive RRT-based path planner is more efficient than the basic RRT-based path planner.

The Grabal Path-Planning for Mobil robot (이동로봇의 전역경로설정방법)

  • Jeong, Heon;Park, Ki-Du;Choi, Han-Soo
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.715-718
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    • 1998
  • There are a lot of paths which connect between the mobile robot and the goat point. To make a mobile robot arrive at the goal point fastly, The optimal path is needed and a path palnning is necessary. In this paper, we propose a new method of path planning to find a path for mobile robot. It is based on Ginetic Algorithm for serching the optimal grobal path planning. Simulations show the efficiency for the grobal path planning.

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Kinematic model, path planning and tracking algorithms of 4-wheeled mobile robot 2-degree of freedom using gaussian function (4-구륜 2-자유도 이동 로보트의 기구학 모델과 가우스함수를 이용한 경로설계 및 추적 알고리즘)

  • 김기열;정용국;박종국
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.12
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    • pp.19-29
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    • 1997
  • This paper presents stable kinematic modeling and path planning and path tracking algorithms for the poisition control of 4-wheeled 2-d.o.f(degree of freedom) mobile robot. We drived the actuated inverse and sensed forward solution for the calculation of actuator velocity and robot velocities. the deal-reckoning algorithm is introduced to calculate the position of WMR in real time. The gaussian functions are applied to control and to design the smooth orientation angle of WMR and the path planning algorithm for obstacle avoidance is prosed. We composed feedback control system to compensate for error because of uncertainty kinematic modeling and measurement noise. The simulation resutls show that the proposed kinematkc modeling and path planning and feedback control algorithms are useful.

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Hybrid System Modeling and Control for Path Planning and Autonomous Navigation of Wheeled Mobile Robots (차륜형 이동로봇의 경로 계획과 자율 주행을 위한 하이브리드 시스템 모델과 제어)

  • Im, Mi-Seop;Im, Jun-Hong
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.1
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    • pp.33-40
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    • 2000
  • In this paper, an integrated method for the path planning and motion control of wheeled mobile robots using a hybrid system model and control is presented. The hybrid model including the continuous dynamics and discrete dynamics with the continuous and discrete state vector is derived for a two wheel driven mobile robot. The architecture of the hybrid control system for real time path planning and following is designed which has the 3-layered hierarchical structure : the discrete event system using the digital automata as the higher process, the continuous state system for the wheel velocity controls as the lower process, and the interface system as the interaction process between the continuous system as the low level and the discrete event system as the high level. The reference motion commands for autonomous navigation are generated by the abstracted motion in the discrete event system. The motion control tasks including the feasible path planning and autonomous motion control with various initial conditions are investigated as the applications by the simulation studies.

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