|Chattering and Stability Analysis of the Sliding Mode Control Using Inverse Hyperbolic Function
Muhammad Asad*, Muhammad Ashraf, Sohail Iqbal and Aamer Iqbal Bhatti
International Journal of Control, Automation, and Systems, vol. 15, no. 6, pp.2608-2618, 2017
Abstract : "Chattering is a known issue in sliding mode control (SMC) and much research has been carried out to
mitigate the chattering and its effects. In this work the chattering and stability analysis of the inverse hyperbolic
function (IHF) based reaching law (RL) has been carried out. The work mathematically formulates the reaching
time and calculates the describing function (DF) for the IHF based RL, which is used to formulate the conditions for
chattering avoidance. The bound for the gain of RL has been calculated that will result in the chattering avoidance.
Finally the proposed scheme has been used to control the speed of DC motor. Experimental results show avoidance
of chattering and reduction in the reaching time."
Chattering analysis, DC motor, inverse hyperbolic function, smooth sliding mode control.