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.

first and second order sliding mode controller\first and second order sliding mode controller.docx
..............................................\first and second order sliding mode controller.pdf
..............................................\Sliding Mode Contorol for Hyperchaotic Lu System.docx
..............................................\Sliding Mode Contorol for Hyperchaotic Lu System.pdf
..............................................\stabilization.mdl
..............................................\stabilization_super_twisting.mdl
..............................................\tracking_2_input.mdl
..............................................\tracking_super_twisting.mdl
..............................................\~$matlab.docx
first and second order sliding mode controller

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