The problem of output feedback stabilization of linear systems based on a reduced-order model is addressed in this paper. New reduced-order models are proposed for the output feedback design of linear systems with a singular perturbation model. An output feedback controller with a zero steady-state gain matrix is proposed for stabilizing this kind of system. It is shown that with the proposed controller the reduced-order model based feedback design can guarantee the actual closed-loop stability for the sufficiently small perturbation parameter. This approach can overcome the difficulties in the existing design method using the so-called zeroth-order approximation model, whose validity is highly dependent on the value of the perturbation parameter.

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Asian Journal of Control
Department of Systems and Computer Engineering

Cao, L. (Liyu), & Schwartz, H.M. (2005). Reduced-order models for feedback stabilization of linear systems with a singular perturbation model. Asian Journal of Control, 7(3), 326–336.