Simultaneous control of linear systems by Genetic Algorithms in state and output feedback

Abstract

In this paper, Genetic Algorithms (GAs) are employed to control simultaneous linear systems in both state and output feedback. First, the similarity transformation is applied to obtain parameterized controllers. This requires solution of a system of equations and also some non-linear inequalities. GAs are used to solve these equations and inequalities. Therefore, the paper presents an analytical method for finding parameterized controllers and employs a numerical method to enhance the solution. Three numerical examples are presented to illustrate the effectiveness of the method and to compare the results with previous results.