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Stabilization of time-varying singularly perturbed systems by observer-based slow-state feedback

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1 Author(s)
Javid, S. ; General Electric Company, Schenectady, NY, USA

This note develops an observer based on the slow reduced-order system of a time-varying full-order system. An upper bound μ*on the singular perturbation parameter μ is derived such that for μ smaller than μ*, the full-order system is stabilized by linear feedback of the observed slow state. The dependence of this bound on the system matrices and the observer and controller gain matrices is discussed.

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Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 3 )