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Asymptotic H control of singularly perturbed systems with parametric uncertainties

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2 Author(s)
Peng Shi ; Sch. of Math., South Australia Univ., Mawson Lakes, SA, Australia ; Dragan, V.

This paper deals with the problem of control of singularly perturbed linear continuous-time systems. The authors' attention is focused on the design of a composite linear controller based on the slow and fast problems such that both stability and a prescribed H performance for the full-order system are achieved. The asymptotic behavior of the composite controller is studied, which is independent of the singular perturbation ε when ε is sufficiently small. Furthermore, the problem of robust control for the above system with parameter uncertainty is also investigated

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Automatic Control, IEEE Transactions on  (Volume:44 ,  Issue: 9 )