AbstractDigital computing devices have a finite precision. Hence when digital filters or controllers are implemented, there is rounding on the variables and coefficients resulting in the various finite-word-length effects on the stability and performance of the system. The problem of minimizing the deleterious effect of the rounding on the coefficients to the input-output transfer function for single-input single-output systems is considered, and an LMI formulation is proposed for both digital filters and feedback controllers. This approach can be simply combined with other FWL LMI formulations in a general multiobjective formulation. The method is illustrated with an example of a filter and of controller for a fluid power system.