Feedback LPV control of a class of nonlinear matrix second order systems

Author

Zhang, Yang ; Wang, Yong ; Guoqing Zhang

Author_Institution

Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China

fYear

2010

Firstpage

3898

Lastpage

3903

Abstract

A feedback LPV control approach is proposed for a class of nonlinear matrix second order systems. With some assumptions satisfied, the nonlinear system can be converted into a Polytopic LPV system by the application of a nonlinear state feedback. Then the control law can be designed through LPV control techniques. The method is validated on a hub-beam system, which is first converted to the Polytopic LPV form by nonlinear state feedback. And the regional pole assignment is then considered for the resultant system via linear state feedback. Solution of the parameters of the controller is obtained by solving an LMI constrained convex optimization problem. Numerical simulations demonstrate the effectiveness of the proposed method.

Keywords

control system synthesis; convex programming; linear systems; nonlinear control systems; pole assignment; state feedback; constrained convex optimization; control law design; feedback LPV control; hub-beam system; nonlinear matrix second order system; nonlinear state feedback; numerical simulation; polytopic LPV system; regional pole assignment; Linear systems; Mathematical model; Matrix converters; State feedback; Symmetric matrices; Vibrations; LMI convex optimization; LPV system; flexible multi-body system; matrix second order system; nonlinear control;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Conference_Location

Jinan

Print_ISBN

978-1-4244-6712-9

Type

conf

DOI

10.1109/WCICA.2010.5554973

Filename

5554973