© 1982-2012 IEEE. This paper proposes a procedure for designing a fast terminal sliding-mode control involving an integral filter that guarantees a finite time of convergence to zero dynamics, robustness against polynomial bounded uncertainties, and external disturbances. It reduces the chattering effect by employing a state-dependent gain and adds an integral filter to smooth the input control signal. We suggest a simplified algorithm to design the controller. To test the performance of the algorithm, we use a Van der Pol chaotic oscillator synchronization with perturbations in the states. Finally, we compare the performance of the method by using the proposed controller with the filter turned-on and turned-off.
Solis, C. U., Clempner, J. B., & Poznyak, A. S. (2017). Fast Terminal Sliding-Mode Control with an Integral Filter Applied to a Van der Pol Oscillator. IEEE Transactions on Industrial Electronics, 5622-5628. https://doi.org/10.1109/TIE.2017.2677299