ROMANSY 11 pp 233-240 | Cite as

Pulse Width Modulated Control for the Dynamic Tracking of Wheeled Mobile Robots

  • X. Feng
  • S. A. Velinsky
Part of the International Centre for Mechanical Sciences book series (CISM, volume 381)


This paper considers the control of differentially driven wheeled mobile robots through the use of a dynamic model that includes all the significant uncertainties such as external forces and tire slip in both the lateral and longitudinal directions. The influences of these uncertainties on the robot dynamics are analyzed and the matching condition for Pulse Width Modulated (PWM) control is studied. It is proven that position tracking control using the PWM method is invariant to both the external forces and tire slip. Combined position and orientation tracking control is also invariant if the desired orientation is tangent to the desired path or if the derivative of lateral slip is negligible. A multivariable PWM tracking control algorithm is developed that guarantees robustness to the influences of the uncertainties. Through experiments with a high load wheeled mobile robot developed for automating highway maintenance and construction tasks, the developed control is shown to be highly accurate, globally stable and robust to disturbances.


Mobile Robot Matching Condition Tracking Control Pulse Width Modulate Variable Structure Control 
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  1. [1]
    Sarkar, N., Yun, X. and Kumar, V., “Control of Mechanical Systems With Rolling Constraints: Application to Dynamic Control of Mobile Robots,” The International Journal of Robotics Research,. U(1), 1994, pp. 55–69.CrossRefGoogle Scholar
  2. [2]
    Hamdy, A. and Badreddin, E., “Dynamic Modeling of a Wheeled Mobile Robot for Identification and Control,” Robotics and Flexible Manufacturing Systems Elsevier Science Publishers B. V., ( North-Holland ), 1992, pp. 119–129.Google Scholar
  3. [3]
    Utkin, V.I., Sliding Modes and Their Application in Variable Structure Systems Mir Publishers, Moscow, 1981.Google Scholar
  4. [4]
    Sira-Ramirez, H., “Invariance Conditions in Non-linear PWM Control Systems,” International Journal of Systems Science, 20 (9), 1989, pp. 1679–1690.CrossRefMATHMathSciNetGoogle Scholar
  5. [5]
    Boyden, D. and Velinsky, S.A., “Dynamic Modeling of Wheeled Mobile Robots for High Load Applications,” Proc. of the IEEE International Conference on Robotics and Automation, 1994, pp. 3071–3078.Google Scholar

Copyright information

© Springer-Verlag Wien 1997

Authors and Affiliations

  • X. Feng
    • 1
  • S. A. Velinsky
    • 1
  1. 1.University of California-DavisDavisUSA

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