Optimal Operation of Large-Scale Time-Delay Systems With Applications to Water Resources

A hierarchical scheme for the optimal control of large-scale non linear time-delay systems is proposed. A linear approximation of original system is defined about a nominal trajectory. The system is decomposed into N subsystems such that the delay terms as well as interaction terms can be treated as extra inputs to linear non-delay subsystems. A numerical example, constituting a 4-reservoir water resources system illustrates this approach.