An Effective Evolutionary Approach to Mixed H2/ H∞ Filtering with Regional Pole Assignment

A novel approach to mixed H
2
/ H
∞
filtering with regional pole assignment is proposed based on multiobjective evolutionary algorithm (MOEA). To design optimal H
2
/ H
∞
filters with less conservatism, a kind of hybrid MOEA (HMOEA) is especially developed. Firstly, evolutionary search is performed by HMOEA to obtain a set of approximate Pareto optimal solutions. Then, a local search is carried out with each previously obtained solution to design better H
2
/ H
∞
filters. An illustrative example is given to demonstrate the effectiveness and advantages of the proposed method.