Singularly perturbed uncertain systems and dynamic output feedback control

A dynamic output feedback strategy is proposed for a class of uncertain systems. Using a singular perturbation approach, a threshold measure of "fastness" of the feedback dynamics, to ensure overall system stability, is derived. This threshold is calculable in terms of known bounds on the system uncertainties but may be conservative in practice. To circumvent this drawback and to allow for bounded uncertainties with unknown bounds, an adaptive version of the strategy is then developed.