Robust control design of semilinear parabolic partial differential systems: A fuzzy approach

Author

Gaye, O. ; Pages, O. ; El Hajjaji, A.

Author_Institution

Inf. & Syst. (MIS) Lab., Univ. of Picardie Jules Verne, Amiens, France

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

953

Lastpage

958

Abstract

This communication deals with the robust H_∞ stabilization of the semilinear partial differential system using Lyapunov theory. The time derivative of this Lyapunov function can be made strictly negative definite by an appropriate choice of controls. In general, it is difficult to control partial differential systems. In order to simplify the design procedure of control law, a fuzzy partial differential system based on fuzzy interpolation approach is proposed. Based on this distributed model, the distributed robust control design is proposed to attenuate disturbances via solving linear matrix inequalities (LMIs). Finally, numerical results are presented and discussed to illustrate the effectiveness of the proposed approach.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; fuzzy set theory; interpolation; linear matrix inequalities; parabolic equations; partial differential equations; robust control; LMI; Lyapunov function; Lyapunov theory; control law; distributed robust control design; fuzzy approach; fuzzy interpolation; fuzzy partial differential system; linear matrix inequalities; robust H∞ stabilization; semilinear parabolic partial differential systems; semilinear partial differential system; Control design; Interpolation; Mathematical model; Numerical models; Robust control; Robustness; State feedback; Fuzzy approach; LMI; Lyapunov function; Partial differential equations; nonlinear system; robust H∞ controller; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications (CCA), 2014 IEEE Conference on

Conference_Location

Juan Les Antibes

Type

conf

DOI

10.1109/CCA.2014.6981459

Filename

6981459