• Title/Summary/Keyword: Nonholonomic system

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Study on Hybrid Control for Motion Control of Mobile Robot Systems (이동로봇의 동작 제어를 위한 하이브리드 시스템 제어에 관한 연구)

  • Lim, Mee-Seub;Lim, Jin-Mo;Lim, Joon-Hong;Oh, Sang-Rok
    • Proceedings of the KIEE Conference
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    • 1998.07g
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    • pp.2348-2350
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    • 1998
  • The hybrid control system for a wheeled mobile robot with nonholonomic constraints to perform a cluttered environment maneuver is proposed. The proposed hybrid control system consists of a continuous state system for the trajectory control, a discrete state system for the motion and orientation control, and an interface control system for the interaction process between the continuous dynamics and the discrete dynamics The continuous control systems are modeled by the switched systems with the control of driving wheels, and the digital automata for motion control are modeled and implemented by the abstracted motion of mobile robot. The motion control tasks such as path generation, motion planning, and trajectory control for a cluttered environment are investigated as the applications by simulation studies.

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Impedance Control for a Vehicle Platoon System (차량 집단 주행 시스템을 위한 임피던스 제어)

  • Yi, Soo-Yeong
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.6
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    • pp.295-301
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    • 2001
  • In this paper, an impedance control using a serial chain of spring-damper system is proposed for a vehicle platoon. For safety of the vehicle platoon, it is required to regulated the distance between each vehicle at a preassigned value even in case of vehicle model error, or moise in the measurement signal. Since the spring-damper system is physically stable and widely used to represent the interaction with the uncertain environments, it is appropriate to the longitudinal control of the vehicle platoon. By considering the nonholonomic characteristics of the vehicle motion, the lateral control and the longitudinal control of the vehicle paltoon are unified in the proposed algorithm. Computer simulation is carried out to verify the robustness against the uncertainties such as the vehicle model error and the measurement noise.

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Analysis and Design of Jumping Robot System Using the Model Transformation Method

  • Suh Jin-Ho;Yamakita Masaki
    • Journal of Electrical Engineering and Technology
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    • v.1 no.2
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    • pp.200-210
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    • 2006
  • This paper proposes the motion generation method in which the movement of the 3-links leg subsystem in constrained to slider-link and a singular posture can be easily avoided. This method is the realization of jumping control moving in a vertical direction, which mimics a cat's behavior. To consider the movement from the point of the constraint mechanical system, a robotics system for realizing the motion will change its configuration according to the position. The effectiveness of the proposed scheme is illustrated by simulation and experimental results.

Energy constraint control in numerical simulation of constrained dynamic system

  • 윤석준
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.376-382
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    • 1991
  • In the analysis of constrained holonomic systems, the Lagange multiplier method yields a system of second-order ordinary differential equations of motion and algebraic constraint equations. Conventional holonomic or nonholonomic constraints are defined as geometric constraints in this paper. Previous works concentrate on the geometric constraints. However, if the total energy of a dynamic system can be computed from the initial energy plus the time integral of the energy input rate due to external or internal forces, then the total energy can be artificially treated as a constraint. The violation of the total energy constraint due to numerical errors can be used as information to control these errors. It is a necessary condition for accurate simulation that both geometric and energy constraints be satisfied. When geometric constraint control is combined with energy constraint control, numerical simulation of a constrained dynamic system becomes more accurate. A new convenient and effective method to implement energy constraint control in numerical simulation is developed based on the geometric interpretation of the relation between constraints in the phase space. Several combinations of energy constraint control with either Baumgarte's Constraint Violation Stabilization Method (CVSM) are also addressed.

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CONTROLLABILITY OF ROLLING BODIES WITH REGULAR SURFACES

  • Moghadasi, S. Reza
    • Journal of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.725-735
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    • 2016
  • A pair of bodies rolling on each other is an interesting example of nonholonomic systems in control theory. There is a geometric condition equivalent to the rolling constraint which enables us to generalize the rolling motions for any two-dimensional Riemannian manifolds. This system has a five-dimensional phase space. In order to study the controllability of the rolling surfaces, we lift the system to a six-dimensional space and show that the lifted system is controllable unless the two surfaces have isometric universal covering spaces. In the non-controllable case there are some three-dimensional orbits each of which corresponds to an isometry of the universal covering spaces.

Robust Sliding Mode Control for Path Tracking of Intelligent Mobile Robot

  • Jiangzhou, L-U;Xie Ming
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.109.1-109
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    • 2001
  • This paper deals with the path following problem of car-like intelligent mobile robot. A robust sliding mode control law based on time-varying state feedback is performed via Lyapunov method for path tracking of nonholonomic mobile robot with uncertainties. At first, A sliding control law is designed by combing the natural algebraic structure of the chained form system with ideas from sliding mode theory. Then, a robust control law is proposed to impose robustness against bounded uncertainties in path tracking. The problem of estimating the asymptotic stability region and the sliding domain of uncertain sliding mode system with bounded control input is also discussed. The proposed sliding mode control law can ensure the global reaching condition of the uncertain control system.

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Object-Transportation Control of Cooperative AGV Systems Based on Virtual-Passivity Decentralized Control Algorithm

  • Suh, Jin-Ho;Lee, Young-Jin;Lee, Kwon-Soon
    • Journal of Mechanical Science and Technology
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    • v.19 no.9
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    • pp.1720-1730
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    • 2005
  • Automatic guided vehicle in the factory has an important role to advance the flexible manufacturing system. In this paper, we propose a novel object-transportation control algorithm of cooperative AGV systems to apply decentralized control to multiple AGV systems. Each AGV system is under nonholonomic constraints and conveys a common object-transportation in a horizontal plain. Moreover it is shown that cooperative robot systems ensure stability and the velocities of augmented systems convergence to a scaled multiple of each desired velocity field for cooperative AGV systems. Finally, the application of proposed virtual passivity-based decentralized control algorithm via system augmentation is applied to trace a circle. Finally, the simulation and experimental results for the object-transportation by two AGV systems illustrates the validity of the proposed virtual-passivity decentralized control algorithm.

Development of a New Navigation Technology for Mobile Robot Based on Sonar Sensors (초음파센서 기반 이동로봇의 새로운 네비게이션 기술 개발)

  • Nguyen, Van-Quyet;Han, Sung-Hyun
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.18 no.6
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    • pp.664-674
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    • 2009
  • This paper presents the theoretical development of a complete navigation problem of a non-holonomic mobile robot by using sonar sensors. To solve this problem, a new method to compute a fuzzy perception of the environment is presented, dealing with the uncertainties and imprecision from the sensory system and taking into account nonholonomic constraints of the robot. Fuzzy perception, fuzzy controller are applied, both in the design of each reactive behavior and solving the problem of behavior combination, to implement a fuzzy behavior-based control architecture. Different experiments in populated environments have proved to be very successful. Our method is able to guide the mobile robot named KUM-Robo safety and efficiently during long experimental time.

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Autonomous Wall-Following of Wheeled Mobile Robots using Hybrid Control Approach (차륜형 이동로봇의 자율 벽면-주행을 위한 하이브리드 제어)

  • Lim, Mee-Seub;Lim, Joon-Hong;Oh, Sang-Rok
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3105-3107
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    • 1999
  • In this paper, we propose a new approach to autonomous wall-following of wheeled mobile robots using hybrid control system. The hybrid control approach IS introduced to the motion control of nonholonomic mobile robots in the Indoor navigation problems. In hybrid control architecture, the discrete states are defined by the user-defined constraints, and the reference motion commands are specified In the abstracted motions. The hybrid control system applied to motion planning and autonomous navigation with obstacle avoidance In indoor navigation problem. Simulation results show that it is an effective method for the autonomous navigation in indoor environments.

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Stability Analysis of Decentralized PVFC Algorithm for Cooperative Mobile Robotic Systems

  • Suh, Jin-Ho;Lee, Kwon-Soon
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1909-1914
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    • 2004
  • Passive velocity field control (PVFC) was previously developed for fully mechanical systems, in which the motion task was specified behaviorally in terms of a velocity field, and the closed-loop was passive with respect to a supply rate given by the environment input. However the PVFC was only applied to a single manipulator, the proposed control law was derived geometrically, and the geometric and robustness properties of the closed-loop system were also analyzed. In this paper, we propose a method to apply a decentralized control algorithm to cooperative 3-wheeled mobile robots whose subsystem is under nonholonomic constraints and which convey a common rigid object in a horizontal plain. Moreover it is shown that multiple robot systems ensure stability and the velocities of augmented systems convergence to a scaled multiple of each desired velocity field for cooperative mobile robot systems.

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