Hybrid Genetic Algorithm to Solve the Two Point Boundary Value Problem in the Optimal Control of Induction Motors

A two point boundary value problem occurs during the process of solving a single or set of differential equations whose solution has to satisfy both initial and final boundary conditions. To solve numerically a nonlinear two point boundary value problem it is necessary to use a computer and an algorithm that determines the strategy of the variations of the initial conditions to achieve the solution that aims to the final conditions given. A hybrid algorithm is proposed, which is composed of two algorithms: genetic and classic. Applying this algorithm to solve the nonlinear two point boundary value problem two different indexes of parametric optimization are used. An example of hybrid algorithm application for synthesis of the time optimal speed control of induction motors is presented.