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-infinity, performance for the full-order system are achieved. The asymptotic behavior of the composite controller is studied, which is independent of the singular perturbation epsilon when epsilon is sufficiently small. Furthermore, the problem of robust control for the above system with parameter uncertainty is also investigated.