The paper proposes a model of a wheeled mobile robot as a part of a robot formation. Using a hierarchical control system a control algorithm from point-to-point was given, for which stability was proven in the sense of Lapunov. The proposed algorithm can be implemented in the robot formation control, in both the virtual structure and follow-the-leader algorithms. The resulting solution was simulated and verified in control and measuring environment, which was able to manage and monitor the work of up to 256 mobile robots.
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This paper presents the problem of generation of dynamic equations of a wheeled mobile robot motion by using the projection method. The projection method allows eliminating the Lagrange multipliers in the dynamics model of the wheeled mobile robot. This property allows using a mathematical model of the object in simulations and in control systems synthesis. As an example, the wheeled mobile robot AmigoBot was used. The approach to mobile robot modelling presented in this paper was performed using the software Maple V.
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