• Title/Summary/Keyword: Nonholonomic

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A Self-Organizing Fuzzy Control Approach to the Driving Control of a Mobile Robot (자기구성 퍼지제어기를 이용한 이동로봇의 구동제어)

  • Bae, Kang-Yul
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.12 s.189
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    • pp.46-55
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    • 2006
  • A robust motion controller based on self-organizing fuzzy control(SOFC) and feed-back tracking control technique is proposed for a two-wheel driven mobile robot. The feed-back control technique of the controller guarantees the robot follows a desired trajectory. The SOFC technique of the controller deals with unmodelled dynamics of the vehicle and uncertainties. The computer simulations are carried out to verify the tracking ability of the proposed controller with various driving situations. The results of the simulations reveal the effectiveness and stability of the proposed controller to compensate the unmodelled dynamics and uncertainties.

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.

Backward-Motion Control of Multiple Off-Hooked Trailers Using a Car-Like Mobile Robot (차량형 로봇을 이용한 다중 Off-Hooked 트레일러의 후진 제어)

  • Chung, Woo-Jin;Yoo, Kwang-Hyun
    • The Journal of Korea Robotics Society
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    • v.4 no.4
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    • pp.273-280
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    • 2009
  • It is difficult to find a practical solution for the backward-motion control of a car-like mobile robot with n passive trailers. Unlike an omni-directional robot, a car-like mobile robot has nonholonomic constraints and limitations of the steering angle. For these reasons, the backward motion control problem of a car-like mobile robot with $n$ passive trailers is not trivial. In spite of difficulties, backing up a trailer system is useful for parking control. In this study, we proposed a mechanical alteration which is connecting $n$ passive trailers to the front bumper of a car to improve the backward motion control performance. Theoretical verification and simulations show that the backward-motion control of a general car with n passive trailers can be successfully carried out by using the proposed approach.

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A Study on Autonomous Driving Mobile Robot by Using Fuzzy Algorith (퍼지 알고리즘을 이용한 자율주행 이동로봇의 설계에 관한 연구)

  • Seo Hyun-Jae;Lim Young-Do
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.4B
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    • pp.278-284
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    • 2006
  • In thispaper, we designed a intelligent autonomous driving robot by using Fuzzy algorithm. The object of designed robot is recognition of obstacle, avoidance of obstacle and safe arrival. We append a suspension system to auxiliary wheel for improvement in stability and movement. The designed robot can arrive at destination where is wanted to go by the old and the weak and the handicapped at indoor hospital and building.

Real-Time Optimization for Mobile Robot Based on Algorithmic Control

  • Kobayashi, Tomoaki;Maenishi, Junichi;Imae, Joe;Zhai, Guisheng
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2102-2107
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    • 2005
  • In this paper, a real-time optimization method for nonlinear dynamical systems is proposed. The proposed method is based on the algorithms of numerical solutions for optimal control problems. We deal with a real-time collision-free motion control of a nonholonomic mobile robot, which has input restrictions of actuators. The effectiveness of the algorithmic method is demonstrated through numerical and experimental results. The mobile robot which we have developed is able to avoid moving obstacles skillfully. Therefore the proposed controller works well in real time.

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Complementarity and nonlinear structural analysis of skeletal structures

  • Tin-Loi, F.
    • Structural Engineering and Mechanics
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    • v.5 no.5
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    • pp.491-505
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    • 1997
  • This paper deals with the formulation and solution of a wide class of structures, in the presence of both geometric and material nonlinearities, as a particular mathematical programming problem. We first present key ideas for the nonholonomic (path dependent) rate formulation for a suitably discretized structural model before we develop its computationally advantageous stepwise holonomic (path independent) counterpart. A feature of the final mathematical programming problem, known as a nonlinear complementarity problem, is that the governing relations exhibit symmetry as a result of the introduction of so-called nonlinear "residuals". One advantage of this form is that it facilitates application of a particular iterative algorithm, in essence a predictor-corrector method, for the solution process. As an illustrative example, we specifically consider the simplest case of plane trusses and detail in particular the general methodology for establishing the static-kinematic relations in a dual format. Extension to other skeletal structures is conceptually transparent. Some numerical examples are presented to illustrate applicability of the procedure.

Adaptive Actor-Critic Learning of Mobile Robots Using Actual and Simulated Experiences

  • Rafiuddin Syam;Keigo Watanabe;Kiyotaka Izumi;Kazuo Kiguchi;Jin, Sang-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.43.6-43
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    • 2001
  • In this paper, we describe an actor-critic method as a kind of temporal difference (TD) algorithms. The value function is regarded as a current estimator, in which two value functions have different inputs: one is an actual experience; the other is a simulated experience obtained through a predictive model. Thus, the parameter´s updating for the actor and critic parts is based on actual and simulated experiences, where the critic is constructed by a radial-basis function neural network (RBFNN) and the actor is composed of a kinematic-based controller. As an example application of the present method, a tracking control problem for the position coordinates and azimuth of a nonholonomic mobile robot is considered. The effectiveness is illustrated by a simulation.

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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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A decentralized control of cooperative transportation by multiple mobile robots using neural network compensator

  • Yang, Xin;Watanabe, Keigo;Kiguchi, Kazuo;Izumi, Kiyotaka
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.50.5-50
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    • 2002
  • In this paper, we propose a method using neural network (NN) to improve the motion control of a decentralized control system for cooperative transportation. In our former work, a decentralized control system for transporting a single object by multiple nonholonomic mobile robots has been developed. One of these mobile robots acts as a leader, who is assumed to be able to plan and to manipulate the omnidirectional motion of the object. Other robots, referred to as followers, cooperatively transport the object by keeping a constant position relative to the object. in this work, it is assumed that the leader can not only plan but also broadcast the local velocity of the object. Then...

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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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