A genetic approach to mixed H2/H∞ optimal PID control

Mixed H₂/H_∞ control designs are quite useful for robust performance design for systems under parameter perturbation and uncertain disturbance. However, the conventional output feedback designs of mixed H₂/H_∞ optimal control are very complicated and not easily implemented for practical industrial applications. In this article, a PID design algorithm for mixed H₂/H_∞ control is proposed via the technique of genetic searching algorithms. Genetic algorithms are optimization and machine learning algorithms, initially inspired from the processes of natural selection and evolutionary genetics. The proposed design algorithm will bridge the gap between the theoretical mixed H₂/H_∞ optimal control and classical PID industrial controls. Two design examples are given to illustrate the design procedure and the performance of the proposed algorithm