Title :
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
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;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2014.2321773