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Output feedback stabilization of linear systems with a singular perturbation model

The problem of output feedback stabilization of linear systems with a singular perturbation model is addressed in this paper. A design method based on an accurate reduced-order model is proposed for this kind of system. This approach can overcome the difficulties in the existing design method using the so-called zero-order approximation model, whose validity is highly dependent on the value of the perturbation parameter. The closed-loop stability of the design method is analyzed and robust stability condition is given.