first-and-second-order-sliding-mode-controller

  This file discribes a structure for stabilization and tracking between two identical hyperchaotic lu systems with different initial conditions and nonlinear control input. On the basis of Lyapounov theory, a first order sliding mode controller is designed for global asymptotically stabilization and tracking, so error dynamics between hyperchaotic lu master and slave system satisfy by input nonlinear control signal. Then a second order sliding mode controller by using super-twisting algorithm is designed. In this file, results of simulation shows the rate of effectiveness from this suggested method.