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Linear model following control of mismatched uncertain systems

We study the control design problem of a class of model reference linear uncertain dynamical systems. The plant and input matrices contain uncertain elements. Any assumptions regarding the structure of uncertainty are relaxed which means the uncertainty can enter into the system description arbitrarily. The only information available about the uncertain parameters is the bounding sets in which they lie. We assume that the model dynamics are completely known and the model has the same order as the plant. The controller developed in this investigation is linear and under certain assumptions this controller forces the plant states to follow the states of a model. The controller also guarantees that every system response is uniformly ultimately bounded and this bound can be made arbitrarily small by an appropriate choice of design parameters. An example is provided to demonstrate the efficiency of the proposed method.