Chattering Analysis of Second Order Sliding Mode Algorithms for Linear Plants

an analysis of second-order sliding-mode algorithms, particularly of super-twisting and twisting as a filter algorithm is carried out in frequency domain with the use of thedescribing function method, and is shown that periodic motion occurs and the parameters of this periodic motion is considered.The analysis is done via application of the concept of equivalent gain of nonlinear function. The equivalent gain is used as a modelof propagation of averaged values of signals through nonlinearelements of system. By applying External disturbance to the system, the output of the system was evaluated. By means of a simulation example, results are presented.

کلیدواژه ها:

chattering analysis ، second order sliding-modes ، frequency domain analysis ، equivalent gain