Multiobjective H2/H∞ synthesis via group-preserving scheme

In this article, we provide a numerical method for the mixed H
₂
/H
_∞
synthesis minimizing the H
₂
norm of one transfer function while imposing restriction on H
_∞
norm of the other transfer function. The mixed H
₂
/H
_∞
robust controller with degree constraint can be designed by solving the nonlinear equations, where a group-preserving scheme is introduced. Three examples are used to investigate the numerical characteristics of new proposed method, also illustrating the effective of the proposed technique.