Big Bang-Big Crunch Optimization in Second Order Sliding Mode Control

In this article, Second order sliding mode with Big Bang- Big Crunch optimization technique is employed for nonlinear uncertain system.The sliding surface describes the transient behavior of a system in sliding mode. Frequently, PD- type sliding surface is chosen as a hyperplane in the system state space.An integral term incorporated in the sliding surface expression that resulted in a type of PID sliding surface as hyperbolic function for alleviating chattering effect. The sliding mode control law is derived using direct Lyapunov stability approach and asymptotic stability is proved theoretically. Here, novel tuning scheme is introduced for estimation of PID sliding surface coefficients, due to which it reduces the reaching time as well as disturbance effect.The simulation results are presented to make a quantitative comparison with the traditional sliding mode control. It is demonstrated that the proposed control law improves the tracking performance of system dynamic model in case of external disturbances and parametric uncertainties.