In the paper the design of multi-purpose control laws in considered. The focus is on the problem of suppression of exogenous disturbance, about which we have no information except its boundedness. In this situation, we need to choose the parameters of the controller, which will give the best possible result under the worst bounded disturbance, and also ensure the implementation of additional requirements to dynamic processes. As the modal requirements the restrictions on the degree of stability are considered. The method of parameterization of the set of stabilizing controllers is proposed for the problem solution. © International Information Institute.