In this book, the phenomenon of the zeros and poles removal in robust controller design H and its negative impact on system performance was evaluated and ways of avoiding that solutions are presented. First, four conventional methods to avoid the negative effects of this phenomenon have been studied. In order to avoid phenomena have been proposed to remove zeros and poles to design of robust H controller, most of these methods are in appropriate and correct adjustment of mass matrix. Then mi Analysis and Synthesis has been proposed as a solution of that leads to controller design of H in which, removing zeros and poles phenomenon does not happen. Complete solution is that systematic adjustment of mass matrices using MatLab software, GUI Graphics, on non-linear system which has the best capable of performance in the elimination of fluctuation of removing zeros and poles as well as nonlinear phenomena in the system. The masses matrices setting parameters on "potentiometers" and non-linear simulations when the output frequency responses and diagrams of control "scope" are treated.