State feedback synthesis for on-line optimization of batch reactors with a non-affine manipulated input and free terminal time

Author

Palanki, Srinivas ; Rahman, A. K M Shamsur

Author_Institution

Dept. of Chem. Eng., Florida A&M Univ., Tallahassee, FL, USA

Volume

3

fYear

1994

fDate

29 June-1 July 1994

Firstpage

3076

Abstract

In this paper, state feedback laws are developed for an online optimization problem where the manipulated input appears as a non-affine function of the state model and the final time is free (unspecified). The first order necessary conditions for optimality as a function of adjoints states are derived using the classical Pontryagin´s principle. Then the optimal state feedback laws are derived by the elimination of adjoints states and it is found that, in general, the optimal state feedback law is dynamic in nature and requires the online solution of an ordinary differential equation. Finally, the application of this technique is illustrated through an example of a microbial fermentation.

Keywords

batch processing (industrial); control system synthesis; fermentation; maximum principle; optimal control; optimisation; process control; real-time systems; state feedback; Pontryagin principle; batch reactors; first order necessary conditions; microbial fermentation; online optimization; ordinary differential equation; state feedback synthesis; Antibiotics; Boundary value problems; Chemical engineering; Differential equations; Feedback loop; Inductors; Manufacturing; Polymers; State feedback; Temperature;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.735136

Filename

735136