Abstract
Conference Title: 2016 17th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA) Conference Start Date: 2016, Dec. 19 Conference End Date: 2016, Dec. 21 Conference Location: Sousse, Tunisia A finite time stability for uncertain second order systems is proposed in this paper using a Sliding Mode Control (SMC), the uncertainties being matched and norm bounded. A sliding surface is designed so that it gives good behavior during the SM and a controller signal strategy is developed to get the stability of the systems. Moreover the finite time convergence of the exact differentiator is established by means of Lyapunov functions. Finally, a simulation for a Pendulum system is illustrate the efficiency of the proposed method in terms of high robustness with respect to uncertainties and eliminate the chattering phenomenon.