PWA based stability analysis of model predictive control system

Author

Ju, Zhang ; Zhangwei, Li

Author_Institution

Coll. of Inf. Eng., Zhejiang Univ. of Technol., Hangzhou

fYear

2008

fDate

2-4 July 2008

Firstpage

3239

Lastpage

3243

Abstract

Based upon the piece-wise affine (PWA) model of closed-loop model predictive control (MPC) system and Lyapunov functions, stability analysis of the closed loop MPC system is studied. By trying to find piece-wise quadratic Lyapunov function over the statepsilas regions, which is cast as an LMI problem, the stability of closed-loop MPC system is analyzed. With further convex partition of the statepsilas regions, and thus increasing the possibility to find the piece-wise quadratic Lyapunov functions, the conservatism of the stability analysis is reduced. At the end of the paper, simulations for a vibration control of elevatorpsilas mechanical system are made.

Keywords

Lyapunov methods; closed loop systems; linear matrix inequalities; predictive control; stability; PWA based stability analysis; closed-loop MPC system; closed-loop model predictive control system; linear matrix inequalities; piece-wise affine model; piece-wise quadratic Lyapunov function; Chromium; Educational institutions; Lyapunov method; Mechanical systems; Predictive control; Predictive models; Stability analysis; Vibration control; Model predictive control; Piece-wise affinel; Piece-wise quadratic Lyapunov function; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597927

Filename

4597927