Optimal control of non-linear chemical reactors via an initial-value Hamiltonian problem

✍ Scribed by V. Costanza; C. E. Neuman

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 216 KB
• Volume: 27
• Category: Article
• ISSN: 0143-2087
• DOI: 10.1002/oca.772

✦ Synopsis

Abstract

The problem of designing strategies for optimal feedback control of non‐linear processes, specially for regulation and set‐point changing, is attacked in this paper. A novel procedure based on the Hamiltonian equations associated to a bilinear approximation of the dynamics and a quadratic cost is presented. The usual boundary‐value situation for the coupled state–costate system is transformed into an initial‐value problem through the solution of a generalized algebraic Riccati equation. This allows to integrate the Hamiltonian equations on‐line, and to construct the feedback law by using the costate solution trajectory. Results are shown applied to a classical non‐linear chemical reactor model, and compared against suboptimal bilinear‐quadratic strategies based on power series expansions. Since state variables calculated from Hamiltonian equations may differ from the values of physical states, the proposed control strategy is suboptimal with respect to the original plant. Copyright © 2005 John Wiley & Sons, Ltd.