Comments on “Exact Output Regulation for Nonlinear Systems Described by Takagi–Sugeno Fuzzy Models”

Author

Robles, Ruben ; Bernal, Miguel

Author_Institution

Dept. of Electr. & Electron. Eng., Sonora Inst. of Technol., Ciudad Obregon, Mexico

Volume

23

Issue

1

fYear

2015

fDate

Feb. 2015

Firstpage

230

Lastpage

233

Abstract

This letter considers the work entitled “Exact Output Regulation for Nonlinear Systems Described by Takagi-Sugeno Fuzzy Models,” published previously in the IEEE Transactions on Fuzzy S ystems, where the authors try to provide a fuzzy approach to the well-known problem of exact output regulation via a dynamic implementation of the nonlinear mapping between the state space and the steady-state zero error manifold. Two problems invalidate this methodology: 1) The results do not depend on the fuzzy structure, as claimed by the authors; and 2) the results have been obtained without properly taking into account the time-derivative of the aforementioned nonlinear mapping. Example B in the above paper is revised and corrected to illustrate these issues.

Keywords

fuzzy control; nonlinear control systems; nonlinear dynamical systems; state-space methods; Takagi-Sugeno fuzzy model; dynamic nonlinear mapping implementation; exact output regulation; fuzzy approach; nonlinear systems; state space manifold; steady-state zero error manifold; Fuzzy systems; Linear matrix inequalities; Mathematical model; Nonlinear control systems; Steady-state; Takagi-Sugeno model; Linear matrix inequalities; Takagi--Sugeno (T--S) model; nonlinear control systems;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2014.2321773

Filename

6810151