Terminal set of min-max model predictive control with guaranteed ℒ2 performance

Author

Shuyou Yu ; Maier, Christian ; Hong Chen ; Allgower, F.

Author_Institution

Dept. of Control Sci. & Eng., Jilin Univ., Changchun, China

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

3264

Lastpage

3269

Abstract

We present an approach to synthesize the terminal control law and the terminal set of nonlinear model predictive control with guaranteed ℒ₂ performance, where a structured feedback uncertainty is considered. The terminal control law, which is obtained through the solution to a Hamilton-Jacobi-Bellman-Isaacs (HJBI) inequality of the Jacobian linearization of the original nonlinear system, renders the uncertain nonlinear system robust invariant in the terminal set.

Keywords

control system synthesis; feedback; linear matrix inequalities; minimax techniques; nonlinear control systems; predictive control; uncertain systems; HJBI inequality; Hamilton-Jacobi- Bellman-Isaacs inequality; Jacobian linearization; guaranteed L₂ performance; minmax model predictive control; nonlinear model predictive control; terminal control law; terminal set; uncertain nonlinear system robust invariant; Jacobian matrices; Linear matrix inequalities; Nonlinear systems; Optimization; Predictive control; Robustness; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6427091

Filename

6427091