Optimal Control of Linear Differential Multipass Processes

摘要

A feedback controller for a multipass process, involving a fixed finite number of passes, is synthesized. The controller brings the system close to a desired terminal condition. The synthesis minimizes a quadratic performance index, consisting of quadratic terminal state terms, added to an integral of quadratic intermediate state forms, plus control for each pass. A noncausal linear feedback controller is derived, and the existence of causal linear feedback controllers is demonstrated. Conditions satisfied by these controllers are discussed, and computational and implementation aspects are outlined.