PI Sliding Mode Control and Active Control Based Stabilization Scheme for a Chaotic System Having Single Stable Equilibrium and its Circuit Implementation

This paper presents Sliding Mode Control (SMC) and Active Control technique for stabilizing a new three-dimensional chaotic system characterized by a single stable equilibrium. Appropriate Proportional-Integral (PI) switching surfaces are selected for designing sliding mode controllers, such that the sliding motion occurs and stabilization of the system is ensured. Lyapunov stability theory is utilized to design and guarantee the stability of switching surfaces and controllers. Additionally, analog circuit design and simulation are conducted in MULTISIM, using off-the-shelf analog components. Numerical simulations using MATLAB have been conducted to validate the effectiveness of the proposed stabilization strategies and their corresponding circuits.