• Title/Summary/Keyword: Nonholonomic

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Nash equilibrium-based geometric pattern formation control for nonholonomic mobile robots

  • Lee, Seung-Mok;Kim, Hanguen;Lee, Serin;Myung, Hyun
    • Advances in robotics research
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    • v.1 no.1
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    • pp.41-59
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    • 2014
  • This paper deals with the problem of steering a group of mobile robots along a reference path while maintaining a desired geometric formation. To solve this problem, the overall formation is decomposed into numerous geometric patterns composed of pairs of robots, and the state of the geometric patterns is defined. A control algorithm for the problem is proposed based on the Nash equilibrium strategies incorporating receding horizon control (RHC), also known as model predictive control (MPC). Each robot calculates a control input over a finite prediction horizon and transmits this control input to its neighbor. Considering the motion of the other robots in the prediction horizon, each robot calculates the optimal control strategy to achieve its goals: tracking a reference path and maintaining a desired formation. The performance of the proposed algorithm is validated using numerical simulations.

Design and Implementation of Back-stepping Control for Path Tracking of Mobile Manipulator of Logistics and Manufacturing (물류이송 및 제조용 이동형 매니퓰레이터의 경로 추적을 위한 백스테핑 제어 설계와 구현)

  • Jin, Taeseok
    • Journal of the Korean Society of Industry Convergence
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    • v.24 no.3
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    • pp.301-306
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    • 2021
  • In this paper, we propose a modified back-stepping control method in view of the dynamic model of mobile manipulator has the nonholonomic constraints, these constraints should be considered to design a tracking controller for the mobile manipulator. The conventional back-stepping controller includes the dynamics and kinematics of the mobile robot systems. and the modified adaptive back0stepping method is applied to constructing the controller. The proposed controller can realize the tracking trajectory of the reference path. The efficiency and robustness of this control method is demonstrated by the simulation.

A berthing control for underwater vehicle with velocity constraints (속도구속조건을 이용한 수중 이동체의 접안제어)

  • Nam Taek-Kun;Kim Chol-Seong;Roh Young-Oh;Park Young-San
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2004.11a
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    • pp.41-46
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    • 2004
  • In this paper, we study the stabilization control if an underwater vehicle from its initial posture to its desired one. We assume tint the underwater vehicle has velocity constraint, i.e. it has no velocity component for some direction. Our approach is based on the nonholonomic system which am derived from velocity constraints that cannot integrable. We proposed a control strategy for posture control of the underwater vehicle using multi-rate digital control. The proposed control scheme is applied to the berthing control if an underwater vehicle and verified the effectiveness if control strategy by numerical simulation.

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A Study on Motion Planning Generation of Jumping Robot Control Using Model Transformation Method (모델 변환법을 이용한 점핑 로봇 제어의 운동경로 생성에 관한 연구)

  • 서진호;산북창의;이권순
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.4
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    • pp.120-131
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    • 2004
  • In this paper, we propose the method of a motion planning generation in which the movement of the 3-link leg subsystem is constrained to a slider-link and a singular posture can be easily avoided. The proposed method is the jumping control moving in vertical direction which mimics a cat's behavior. That is, it is jumping toward wall and kicking it to get a higher-place. Considering the movement from the point of constraint mechanical system, the robotic system which realizes the motion changes its configuration according to the position and it has several phases such as; ⅰ) an one-leg phase, ⅱ) in an air-phase. In other words, the system is under nonholonomic constraint due to the reservation of its momentum. Especially, in an air-phase, we will use a control method using state transformation and linearization in order to control the landing posture. Also, an iterative learning control algorithm is applied in order to improve the robustness of the control. The simulation results for jumping control will illustrate the effectiveness of the proposed control method.

Modeling and Control of Welding Mobile Robot for the Tracking of Lattice Type Welding Seam (격자형 용접선 추적을 위한 용접 이동로봇의 모델링 및 제어)

  • Lee, Gun-You;Suh, Jin-Ho;Oh, Myung-Suk;Kim, Sang-Bong
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.923-928
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    • 2003
  • This paper presents the motion control of a mobile robot with arc sensor for lattice type welding. Its dynamic equation and motion control method for welding speed and seam tracking are described. The motion control is realized in the view of keeping constant welding speed and precise target line even though the robot is driven along a straight line or comer. The mobile robot is modeled based on Lagrange equation under nonholonomic constraints and the model is represented in state space form. The motion control of the mobile robot is separated into three driving motions of straight locomotion, turning locomotion and torch slider controls. For the torch slider control, the proportional integral derivative (PID) control method is used. For the straight locomotion, a concept of decoupling method between input and output is adopted and for the turning locomotion, the turning speed is controlled according to the angular velocity value at each point of the comer with range of $90^{\circ}$ constrained to the welding speed. The proposed control methods are proved through simulation results and the results have proved that the mobile robot has enough ability to apply the lattice type welding line.

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Modeling and Adaptive Motion Tracking Control of Two-Wheeled Welding Mobile Robot (WMR) (용접용 이륜 이동로봇의 모델링 및 적응 추종 제어)

  • Suh, Jin-Ho;Bui, Tring Hieu;Nguyen, Tan Tien;Kim, Sang-Bong
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.786-791
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    • 2003
  • This paper proposes an adaptive control algorithm for nonholonomic mobile robots with unknown parameters and the proposed control method is used in numerical simulations for applying to a practical twowheeled welding mobile robot(WMR). The proposed adaptive controller to track an arbitrary given welding path is designed by using back-stepping technique and is derived for a nonlinear model under the assumption such that the system parameters are partially known. Moreover, the proposed adaptive control system is stable in the sense of Lyapunov stability. Inertia moments of system are considered to be unknown parameters and their values can be estimated simply by using update laws proposed in an adaptive control scheme of this research. The simulation results are provided to show the effectiveness of the accurate tracking capability of the proposed controller for two-wheeled welding mobile robot with a smooth curved reference welding path.

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Modeling and Motion Control of Mobile Robot for Lattice Type Welding

  • Jeon, Yang-Bae;Kim, Sang-Bong
    • Journal of Mechanical Science and Technology
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    • v.16 no.1
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    • pp.83-93
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    • 2002
  • This paper presents a motion control method and its simulation results of a mobile robot for a lattice type welding. Its dynamic equation and motion control methods for welding speed and seam tracking are described. The motion control is realized in the view of keeping constant welding speed and precise target line even though the robot is driven for following straight line or curve. The mobile robot is modeled based on Lagrange equation under nonholonomic constraints and the model is represented in state space form. The motion control of the mobile robot is separated into three driving motions of straight locomotion, turning locomotion and torch slider control. For the torch slider control, the proportional-integral-derivative (PID) control method is used. For the straight locomotion, a concept of decoupling method between input and output is adopted and for the turning locomotion, the turning speed is controlled according to the angular velocity value at each point of the corner with range of 90$^{\circ}$ constrained to the welding speed. The proposed control methods are proved through simulation results and these results have proved that the mobile robot has enough ability to apply the lattice type welding line.

A Study on Autonomous Driving Mobile Robot by using Intelligent Algorithm

  • Seo, Hyun-Jae;Kim, Hyo-Jae;Lim, Young-Do
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.543-547
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    • 2005
  • In this paper, 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.

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Manipulability Ellipsoids of Wheeled Mobile Manipulators

  • Kim, Sung-Bok;Lee, Jae-Youn
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.120.2-120
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    • 2001
  • This paper presents the analysis on the manipulability of a wheeled mobile manipulator which consists of a wheeled mobile platform and a manipulator atop. It is assumed that the mobile platform is a deficient system and the manipulator is a nonredundant system, but the mobile manipulators as a whole is a redundant system. First Yoshikawa´s definition of the manipulability ellipsoid for a redundant/nonredundant system is extended to a deficient system. Second, the effects of the nonholonomic constraint of the mobile platform and the location the mobile platform and the manipulator is analyzed.

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A Frequency-Domain Normalized MBD Algorithm with Unidirectional Filters for Blind Speech Separation

  • Kim Hye-Jin;Nam Seung-Hyon
    • The Journal of the Acoustical Society of Korea
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    • v.24 no.2E
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    • pp.54-60
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    • 2005
  • A new multichannel blind deconvolution algorithm is proposed for speech mixtures. It employs unidirectional filters and normalization of gradient terms in the frequency domain. The proposed algorithm is shown to be approximately nonholonomic. Thus it provides improved convergence and separation performances without whitening effect for nonstationary sources such as speech and audio signals. Simulations using real world recordings confirm superior performances over existing algorithms and its usefulness for real applications.