Optimum PID Control of Multi-wing Attractors in A Family of Lorenz-like Chaotic Systems

摘要

Multi-wing chaotic attractors are highly complex nonlinear dynamical systemswith higher number of index-2 equilibrium points. Due to the presence ofseveral equilibrium points, randomness of the state time series for thesemulti-wing chaotic systems is higher than that of the conventional double wingchaotic attractors. A real coded Genetic Algorithm (GA) based globaloptimization framework has been presented in this paper, to design optimum PIDcontrollers so as to control the state trajectories of three differentmulti-wing Lorenz like chaotic systems viz. Lu, Rucklidge and Sprott-1 system.