Abstract This paper addresses the problem of navigating an autonomous vehicle using environmental dynamics prediction. The usefulness of the Game Against Nature formalism adapted to modelling environmental prediction uncertainty is discussed. The possibility of the control law synthesis on the basis of strategies against Nature is presented. The properties and effectiveness of the approach presented are verified by simulations carried out in MATLAB.

Abstract The paper addresses the problem of algorithm synthesis for controlling the motion of an electric powered wheelchair. The aim of the algorithm is to stabilize the wheelchair following a linear path and avoiding obstacles if occurred on its way. The main restriction imposed on the project is the application of simple low-cost sensors. That implies the system to cope with a number of inaccuracies and uncertainties related to the measurements. The goal of this work is to evaluate the possibility of the wheelchair project with a navigation system which aids a disable person to move in a complex and dynamic areas. Exemplary simulations are presented in order to discuss the results obtained.