ABSTRACT
An important topic in filter design is filter coefficient sensitivity because very small perturbations in the coefficient of the designed filter may result in the serious deterioration of the system performance, including instability. Therefore, the filter should be designed to be insensitive to some amount of error with respect to its coefficients. On the other hand, sensitivity analysis allows the analyst to assess the effects of changes in the parameter values. The new proposed method has two main advantages. The first one is to resolve the problem of designing the insensitive filters subjected to the multiplicative filter coefficient variations in a new framework, while this problem cannot be resolved using the existing method. The second one is that the number of the linear matrix inequality involved in the design conditions does not grow exponentially, and is significantly reduced comparing with the existing method.
