Asymptotic H∞ control of singularly perturbed systems with parametric uncertainties

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.