Title :
Model Predictive Control of Piecewise Affine Systems with Constrained Input and Terminal Ellipsoid
Author :
Liu, Zhilin ; Pei, Run ; Zhang, Jun ; Mu, Xiangyong
Author_Institution :
Dept. of Control Sci. & Eng., Harbin Inst. of Technol.
Abstract :
In this paper, a model predictive control is proposed for the hybrid systems with constrained control input based on piecewise affine (PWA) model. The constrained control input of the considered systems is solved in terms of linear matrix inequalities (LMIs). An additional terminal ellipsoid is introduced to ensure the states converging to the equilibrium faster. The control law is obtained by convex optimization involving LMIs. The simulation results verify the effectiveness of the proposed method. It is shown that, based on LMI constraints, it is easy to get the model predictive control for the hybrid systems and is suitable for practical application
Keywords :
convex programming; linear matrix inequalities; predictive control; LMI constraint; PWA model; constrained control input; control law; convex optimization; hybrid system; linear matrix inequality; model predictive control; piecewise affine system; terminal ellipsoid; Control system synthesis; Control systems; Electronic mail; Ellipsoids; Intelligent control; Linear matrix inequalities; Logic; Predictive control; Predictive models; Stability; hybrid system; linear matrix inequalities; model predictive control; piecewise affine; stability;
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.2006.1712565