Guaranteed Asymptotic Stability for Systems with Constant Disturbances

We consider a class of linear systems in which there are uncertain parameters in the system and input matrices, as well as constant additive disturbances. The only information available about the uncertain parameters is the bounding sets in which they lie. A linear, state feedback control law is derived which guarantees that the designated output approaches zero for all possible parameter values and all initial conditions. Two examples illustrate the application of the theory.