An Improved Biogeography Based Optimization for Parameter Estimation of Chaotic Systems

Biogeography based optimization (BBO) is a new evolutionary optimization based on the science of biogeography for global optimization. We propose two extensions to BBO. Firstly, we propose a new migration operation based sinusoidal migration model called improved migration, which is a generalization of the standard BBO migration operator. Secondly, the Gaussian mutation operator is integrated into improved biogeography based optimization (IBBO) to enhance its exploration ability and to improve the diversity of population. Experiments have been conducted on Lorenz system and Chen system. The proposed algorithm is applied to estimate the parameters of these two systems. Simulation results and comparisons demonstrate the proposed IBBO is better or at least comparable to, BBO, particle swarm optimization, and genetic algorithm from literature when considering the quality of the solutions obtained.