Optimal control for large-scale interconnected discrete-time systems with uncertain parameter using singular perturbation methods

A two-time-scale large-scale discrete-time system with an uncertain parameter is considered. It is assumed that a specific structure of m-1 lower level `fast´ subsystems is interconnected through the dynamics of a higher level `slow´ subsystem. Near-optimal solutions are obtained, such that not only is the given cost functional minimized, but also the sensitivity of the interconnected system with respect to the uncertain parameter is reduced