Discontinuous stabilizer of the first order chained system using polar-like coordinates transformation

This paper considers problem of stabilization of the first order nonholonomic chained system using polar-like coordinates. A control method considered here can be regarded as an extension of control solution based on polar coordinate transformation in order to apply it to other system than unicycle. Presented control strategy gives possibility to obtain fast convergence of regulation errors without oscillatory behavior. A robustness of the controller in the neighborhood of the desired point is ensured via additional non-smooth techniques. In order to verify usefulness of developed control strategy simulation results are given.