Title :
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
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;
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
DOI :
10.1109/CCDC.2008.4597927
