End-point parametrization and guaranteed stability for a model predictive control scheme

Author

Weiland, Siep ; Stoorvogel, Anton A. ; Tiagounov, Andrei A.

Author_Institution

Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands

Volume

5

fYear

2001

fDate

2001

Firstpage

4832

Abstract

In this paper we consider the closed-loop asymptotic stability of the model predictive control scheme which involves the minimization of a quadratic criterion with a varying weight on the end-point state. In particular, we investigate the stability properties of the (MPC-) controlled system as function of the end-point penalty and provide a useful parametrization of the class of end-point penalties for which stability of the controlled system can be guaranteed. The results are successfully applied for the implementation of an MPC controller of a binary distillation process

Keywords

asymptotic stability; closed loop systems; distillation; minimisation; model reference adaptive control systems; predictive control; stability criteria; MPC; binary distillation process; closed-loop asymptotic stability; end-point parametrization; guaranteed stability; minimization; model predictive control scheme; varying-weight quadratic criterion; Asymptotic stability; Control systems; Costs; Electrical equipment industry; Industrial control; Predictive control; Predictive models; Process control; Riccati equations; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980972

Filename

980972