An LMI approach to H∞ control for affine nonlinear system

Author

Chao-Hong Jin ; Huai-Shu Li ; Li-Zhong Song

Author_Institution

Coll. of Electr. & Inf. Eng., Naval Univ. of Eng., Wuhan, China

Volume

2

fYear

2011

fDate

29-31 July 2011

Abstract

This paper studies the problem of H_∞ control for a affine nonlinear system with disturbance. Based on HJI inequation, a sufficient condition is presented in the form of LMI to ensure the nonlinear H_∞ controller´s existence. The nonlinear H_∞ controller can efficiently attenuate the effect of disturbance on system output. Simultaneously, it can guarantee the closed loop system is globally asymptotically stable at the origin. Using matlab software, it is not easy to solve the LMI problem, therefore the presented method is feasible. Finally, a numerical example simulation is provided to illustrate the effectiveness of the method.

Keywords

H^∞ control; affine transforms; asymptotic stability; closed loop systems; linear matrix inequalities; nonlinear control systems; HJI inequation; LMI problem; affine nonlinear system; asymptotic stability; closed loop system; matlab software; nonlinear H infinity controller; Computational modeling; Computer languages; Gain measurement; Numerical models; Robustness; Software; HJI inequation; LMI; disturbance attenuation; globally asymptotically stable; nonlinear H∞ control;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics and Optoelectronics (ICEOE), 2011 International Conference on

Conference_Location

Dalian

Print_ISBN

978-1-61284-275-2

Type

conf

DOI

10.1109/ICEOE.2011.6013165

Filename

6013165