Survey on Biogeography Based Optimization Algorithm and Application of Biogeography Based Optimization to determine Parameters of PID Controller

Abstract: Biogeography is the study of the distribution of species over space and time. Naturists and biologists have studied this for few decades. Recently, the theory of biogeography has been applied to solve difficult engineering optimization problems. The algorithm that is popularly used is biogeography based optimization (BBO). In this paper, a brief survey on biogeography based optimization is carried out. The system model of immigration and emigration of organisms in an island biogeography system is used as the basis of BBO to find unknown parameters of PID controller because it is difficult to achieve the proper values of the parameters Kp, Ki and Kd in PID controller. The approach is based on the search for global optimum value for the PID control parameters with the help of cost functions which converges to minimum value having minimum error. Finally the time and frequency domain responses are founded with the help of simulation and compared.

Keywords: Biogeography Based Optimization (BBO), Immigration, Emigration, Habitat Suitability Index (HSI), PID Controller.