ISSN print edition: 0366-6352 ISSN electronic edition: 1336-9075 Registr. No.: MK SR 9/7 Published monthly

Approximate explicit robust model predictive control of a CSTR with fast reactions

Peter Bakaráč and Michal Kvasnica

Slovak University of Technology in Bratislava, Bratislava, Slovak Republic

E-mail: michal.kvasnica@stuba.sk

Abstract: This paper presents a novel approach to the construction of explicit representation of robust model predictive feedback laws for constrained linear systems with parametric uncertainties. The approach is based on employing approximate dynamic programming where a large optimal control problem is split into a sequence of problems of smaller size. To be able to solve each such problem explicitly, we employ a bounded approximation of optimal value functions. Such a procedure is demonstrated to be superior, both in terms of construction time as well as in the complexity of the resulting controllers, to traditional approaches based on the one-shot approach. The proposed method is demonstrated on a simulation case study involving a continuous stirred tank reactor (CSTR) where a fast multi-component chemical reaction takes place.

Keywords: Explicit model predictive control ; Robust model predictive control ; Parametric uncertainties ; Continuous stirred tank reactor 

Full paper is available at www.springerlink.com.

DOI: 10.1007/s11696-018-0630-4

Chemical Papers 73 (3) 611–618 (2019)