ROBUST DISTURBANCE ATTENUATION WITH STABILITY FOR A CLASS OF UNCERTAIN SINGULARLY PERTURBED SYSTEMS

In this paper, the problem of robust stability and robust disturbance attenuation is investigated for a class of singularly perturbed linear systems with norm-bounded parameter uncertainties in both state and o utput equations. Based on the slow and fast subsystems, a composite li near controller is designed such that both robust stability and a pres cribed H-infinity performance for the full-order system are achieved, irrespective of the uncertainties. Our results show that the above pro blem can be converted to an H-infinity control problem for a related s ingularly perturbed linear system without parameter uncertainty. Thus, the existing results on H-infinity, control of singularly perturbed s ystems can be applied to obtain solutions to the problem of robust H-i nfinity control for the uncertain systems, which is independent of the singular perturbation epsilon when epsilon is sufficiently small. An example is given to show the potential of the proposed technique.