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This paper addresses the design of robust dynamic output feedback control forhighly uncertain systems in which the unknown disturbance might be excited bythe derivative of the control input. This context appears in many industrialproblems such as the speed control of the hydraulic turbines and the frequencystabilization in micro grids to cite but few examples. A key feature that hasto be carefully addressed in this context is that too agressive feedback mightlead to the loss of controllability and/or a significant drop in theclosed-loop performance. The paper formulates the problem, underlines itsrelevance and gives a rigorous solution in which a dynamic output feedback isgiven together with a realistic set of sufficient conditions on thecontroller's parameters that enable to assess the behavior of the closed-loopunder different circumstances. A numerical example is given to illustrate therelevance of the proposed successful design characterization.

Output Feedback Control of a Class of Uncertain Systems Under Control-derivative dependent disturbances