Optimal full-state feedback observer integrated backstepping control of chemical processes with unknown internal dynamics

Jingwen Huang; Zhankun Lv; Jian-Qiao Sun

doi:10.1016/j.isatra.2021.05.009

Optimal full-state feedback observer integrated backstepping control of chemical processes with unknown internal dynamics

ISA Trans. 2022 Mar:122:371-379. doi: 10.1016/j.isatra.2021.05.009. Epub 2021 May 12.

Authors

Jingwen Huang¹, Zhankun Lv¹, Jian-Qiao Sun²

Affiliations

¹ Beijing University of Chemical Technology, Beijing, 100029, China.
² Department of Mechanical Engineering, School of Engineering, University of California, Merced, CA 95343, USA. Electronic address: jqsun@ucmerced.edu.

PMID: 34001382
DOI: 10.1016/j.isatra.2021.05.009

Abstract

This paper studies the estimation and control problems of chemical processes with unknown internal dynamics. An observer with optimal full-state feedback characteristics for estimating the state variables and unknown dynamics is presented. Unlike other observers that need to know the frequency characteristics of the system, the pole of the proposed observer is determined automatically in a LQR formulation and the observer stability is also inherently ensured. In order to suppress the unknown internal dynamics, the proposed observer is then applied to the control design leading to an observer integrated backstepping control method. The proposed method does not depend on the detailed mathematical model of the system while the stability of the closed-loop system is guaranteed. The stability of the closed-loop system is proven in the Lyapunov sense. Extensive numerical simulations are presented to validate the proposed method.

Keywords: Chemical process; Integrated observer backstepping control; Internal dynamics; Optimal full-state feedback observer; System identification.