H∞ preview tracking control for retarded stochastic systems

The problem of infinite-horizon H_∞ state-feedback tracking for linear continuous time-invariant retarded systems with stochastic parameter uncertainties is investigated. We consider the case where the reference signal is previewed in a fixed time-interval ahead. The stochastic uncertainties appear in the dynamics matrices for both the retarded and the non retarded states of the system. The delayed system is transformed via the input output approach, to an uncertain norm bounded system.