A spherical wheel robot or Ballbotââ?¬â?a robot that balances on an actuated spherical ballââ?¬â?is a new and recent type of robot in\nthe popular area of mobile robotics. This paper focuses on the modeling and control of such a robot. We apply the Lagrangian\nmethod to derive the governing dynamic equations of the system.We also describe a novel Fuzzy SlidingMode Controller (FSMC)\nimplemented to control a spherical wheel mobile robot.The nonlinear nature of the equations makes the controller nontrivial.We\ncompare the performance of four different fuzzy controllers: (a) regulation with one signal, (b) regulation and position control with\none signal, (c) regulation and position control with two signals, and (d) FSMC for regulation and position control with two signals.\nThe system is evaluated in a realistic simulation and the robot parameters are chosen based on a LEGO platform, so the designed\ncontrollers have the ability to be implemented on real hardware.
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