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.
Published in:
Automatic Control, IEEE Transactions on
(Volume:27
,
Issue:
3
)
Date of Publication: Jun 1982