Design of Adaptive Back-Stepping Controller for Chaos Control in Boost Converter and Controller Coefficients Optimization Using CHPSO Algorithm

In this paper, the DC-DC boost converter in chaos mode is controlled using the adaptive Back-stepping method. One of the main features of power electronic converters is their nonlinear behavior due to existence of nonlinear elements such as diodes, switches, comparator and limiters in control circuits. Different types of non-linear behaviors such as bifurcation and chaos may occur in power electronic converters. These undesirable behaviors reduce efficiency of converters greatly and also cause dielectric losses, copper losses, undesirable sound noises and system failure. Back-stepping method is one of the common nonlinear techniques for controller design. This method is capable of generating an asymptotic and stabilizing control law in order to suppress chaos and synchronize chaotic systems. Also, optimal controller coefficients are determined using Chaotic Particle Swarm Optimization algorithm. By selecting an objective function, parameters of the back-stepping controller are determined using CHPSO algorithm. The system with adaptive Back-stepping controller is compared with the optimized adaptive back-stepping controller.