Design of robust and chattering-free rational controllers

Author

Ibrir, Salim

Author_Institution

Univ. of Trinidad & Tobago, Couva, Trinidad and Tobago

fYear

2009

Firstpage

974

Lastpage

979

Abstract

New chattering-free feedback design for a class of perturbed nonlinear systems is presented. The idea is basically founded on uniting rational-power feedbacks with rational-type feedbacks that approximate the sign function. We show that the degree of smoothness of the applied controller depends essentially upon the number of the rational-power terms used in the expansion of the whole feedback. A detailed analysis of the balance between smoothness and global/practical stability is given.

Keywords

control nonlinearities; control system synthesis; feedback; function approximation; nonlinear control systems; perturbation techniques; rational functions; robust control; variable structure systems; chattering-free rational controller design; global-practical stability; perturbed nonlinear system; rational-power feedback; rational-type feedback; robust control; sign function approximation; sliding mode control; Adaptive control; Automation; Control systems; Feedback control; Helium; Nonlinear control systems; Nonlinear systems; Robust control; Sliding mode control; Stability analysis; Chattering analysis; Rational-power feedbacks; Robust control; Sliding-mode;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE

Conference_Location

Saint Petersburg

Print_ISBN

978-1-4244-4601-8

Electronic_ISBN

978-1-4244-4602-5

Type

conf

DOI

10.1109/CCA.2009.5281090

Filename

5281090