On the optimization of distributed parameter systems with boundary control: A counter example for the maximum principle
✍ Scribed by F. Gruyaert; C. M. Crowe
- Publisher
- American Institute of Chemical Engineers
- Year
- 1974
- Tongue
- English
- Weight
- 683 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0001-1541
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A counterexample is given to the strong maximum principle for boundary control of a class of distributed parameter systems. The particular system deals with chemical reactors suffering catalyst decay and is in the class whose members are described by sets of first‐order partial differential equations of the hyperbolic type. It is shown that an optimal control exists and that over any finite time interval in which the control is unconstrained the exit conversion from the reactor remains constant. It is further shown that for certain values of the parameters the optimal control policy violates the necessary conditions of the strong maximum principle for boundary control of distributed parameter systems.