Switching Surface as a Filter and its Application to Anti-synchronisation of Lü Chaotic System

This paper presents a mathematical background of switching surface and its design steps in the light of a filter. Designing of a switching surface is the most important step while using sliding mode control (SMC) technique as it dictates the behaviour of the system during sliding. Its application is done here for the anti-synchronisation of the Lü chaotic system. The anti-synchronisation is done between two identical Lü systems using proportional-Integral (PI) and proportional-integral-derivative (PID) switching surface based SMC and a comparative study is done between the two approaches. Numerical simulations are presented to show the effectiveness of these designs.