Equivalence between neighboring-extremal control and self-optimizing control for the steady-state optimization of dynamical systems

Grégory François, B. Srinivasan, Dominique Bonvin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The problem of steering a dynamical system toward optimal steady-state performance is considered. For this purpose, a static optimization problem can be formulated and solved. However, because of uncertainty, the optimal steady-state inputs can rarely be applied directly in an open-loop manner. Instead, plant measurements are typically used to help reach the plant optimum. This paper investigates the use of optimizing control techniques for input adaptation. Two apparently different techniques of enforcing steady-state optimality are discussed, namely, neighboring-extremal control and self-optimizing control based on the null-space method. These two techniques are compared for the case of unconstrained real-time optimization in the presence of parametric variations. It is shown that, in the noise-free scenario, the two methods can be made equivalent through appropriate tuning. Note that both approaches can use measurements that are taken either at successive steady-state operating points or during the transient behavior of the plant. Implementation of optimizing control is illustrated through a simulated continuously stirred tank reactor (CSTR) example.

Original languageEnglish
Pages (from-to)7470-7478
Number of pages9
JournalIndustrial & Engineering Chemistry Research
Volume53
Issue number18
DOIs
Publication statusPublished - 7 May 2014

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