Motion Control of an Omnidirectional Mobile Platform for Trajectory Tracking Using an Integral Sliding Mode Controller

다국어 초록 (Multilingual Abstract)

In this paper, a new tracking controller that integrates a kinematic controller (KC) with an integral sliding mode dynamic controller (ISMC) is designed for an omnidirectional mobile platform (OMP) to track a desired trajectory at a desired velocity. First, a posture tracking error vector is defined, and a kinematic controller (KC) is chosen to make the posture tracking error vector convergent to zero asymptotically. Second, an integral sliding surface vector is defined based on the angular velocity tracking error vector and its integral term. An integral sliding mode dynamic controller (ISMC) is de-signed to make the integral sliding surface vector and the angular velocity tracking error vector con-vergent to zero asymptotically. The above controllers are obtained based on the Lyapunov stability theory. To implement the designed tracking controller, a control system is developed based on PIC18F452. A scheme for measuring the posture tracking error vector using a camera sensor combined with an angular sensor is introduced. The simulation and experimental results are presented to illustrate the effectiveness and applicability of the proposed tracking controller.

참고문헌 (Reference)

1 Ngo Manh Dung, "Two-Wheeled Welding Mobile Robot for Tracking a Smooth Curved Welding Path Using Adaptive Sliding-Mode Control Technique" 제어·로봇·시스템학회 5 (5): 283-294, 2007

2 N. Hung, "Tracking controller design of omnidirectional mobile manipulator system" Fukuoka International Congress Center 539-544, 2009

3 T. L. Chung, "Sliding mode control of spot bead welding mobile robot" MarineTime Univ 229-236, 2004

4 Y. Liu, "Sliding mode adaptive neuralnetwork control for nonholonomic mobile modular manipulators" 44 (44): 203-224, 2005

5 C. Edwards, "Sliding Mode Control: Theory and Applications" Prentice-Hall International, Inc. 1991

6 Sang Bong Kim, "Sliding Mode Control of Two-Wheeled Welding Mobile Robot for Tracking Smooth Curved Welding Path" 대한기계학회 18 (18): 1094-1106, 2004

7 Y. Liu, "Omnidirectional mobile robot controller based on trajectory linearization" 56 (56): 461-479, 2008

8 M. J. Jung, "Omnidirectional mobile base OK-II" 3449-3454, 2000

9 X. Li, "Nonlinear predictive control of an omnidirectional robot dribbling a rolling ball" 1678-1683, 2008

10 T. K. Nagy, "Nearoptimal dynamic trajectory generation and control of an omnidirectional vehicle" 47 (47): 47-64, 2004

11 K. Watanabe, "Feedback control of an omnidirectional autonomous platform for mobile service robots" 22 : 315-330, 1998

12 A. Betourne, "Dynamic modelling and control design of a class of omnidirectional mobile robots" 2810-2815, 1996

13 R. L. Williams II, "Dynamic model with slip for wheeled omnidirectional robots" 18 (18): 285-293, 2002

14 X. Li, "Dribbling control of omnidirectional soccer robots" 2623-2628, 2007

15 N. M. Dung, "Control of two-wheeled welding mobile manipulator" 4 (4): 293-302, 2007

16 K. Watanabe, "Control of an omnidirectional mobile robot" 51-60, 1998

17 J. A. Vazquez, "Computed-torque control of an omnidirectional mobile robot" 274-277, 2007

18 J. J. E. Slotine, "Applied Nonlinear Control" Prentice-Hall International, Inc 1991

19 H. C. Huang, "Adaptive robust control of an omnidirectional mobile platform for autonomous service robots in polar coordinates" 51 (51): 439-460, 2008

20 F. G. Pin, "A new family of omnidirectional and holonomic wheeled platforms for mobile robots" 10 (10): 490-489, 1994