I. Introduction
Railway vehicles often require large tractive effort. Due to the design of wheel and rail, combined with the large elastic coefficient of steel, transfer of forces between the wheel and the rail occur through a small steel-to-steel contact area. While this is advantageous regarding frictional losses, it will curb the maximum force transfer. The maximum transferable force between the wheel and rail will not only be a function of design parameters such as wheel and rail shapes and materials, vehicle weight, etc. but also will be strongly affected by the surface conditions of rail [1]. Exceeding the maximum tractive force can produce an uncontrolled wheel slip, which can result in a number of unwanted effects, including reduced acceleration/deceleration performance [1], and also the risk of triggering torsional vibration phenomena [2]. This creates an interest and necessity to study slip phenomena and to develop anti-slip control methods.