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

Document Type: Regular Paper


1 Department of Computer Engineering, Institute for Higher Education of ACECR, Yazd, Iran

2 Department of Electrical and Computer Engineering, Yazd University, Yazd, Iran

3 Department of mathematics, Yazd University, Yazd, Iran


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.