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.

Volume

1

fYear

0

fDate

0-0 0

Firstpage

1338

Lastpage

1342

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712565

Filename

1712565