Title :
PWA Model based Convergence Analysis of Predictive Control System
Author :
Zhang, Ju ; Xu, Xinli ; Wang, Wanliang
Author_Institution :
Inst. of Autom., Zhejing Univ. of Technol., Hangzhou
Abstract :
Based upon the PWA model of the closed-loop MPC system and upon the tools developed for analysis of hybrid systems, convergence analysis of the closed loop MPC system are studied. Convergence analysis of predictive control system consists of stability analysis and feasibility analysis of MPC system. By trying to find piece wise quadratic Lyapunov function over the state´s regions, which is cast as a LMI problem, the stability of closed-loop MPC system is analyzed. The feasibility of the closed loop MPC system is analyzed by calculating the maximal control invariant set of MPC system. At the end of the paper, simulations for a vibration control of elevator´s mechanical system are made
Keywords :
Lyapunov methods; closed loop systems; linear matrix inequalities; piecewise constant techniques; predictive control; stability; LMI problem; PWA model based convergence analysis; closed-loop MPC system; elevator mechanical system; feasibility analysis; maximal control invariant set; model predictive control; piecewise affine control; piecewise quadratic Lyapunov function; predictive control system; stability analysis; vibration control; Chromium; Control system analysis; Control systems; Convergence; Lyapunov method; Neural networks; Predictive control; Predictive models; Stability analysis; Vibration control; convergence analysis; feasibility analysis; model predictive control; piece wise affine model; stability analysis;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1714283
