TY - JOUR
T1 - Analysis of the Fuzzy Controllability Property and Stabilization for a Class of T-S Fuzzy Models
AU - Meda-Campaña, Jesús Alberto
AU - Rodríguez-Valdez, Jorge
AU - Hernández-Cortés, Tonatiuh
AU - Tapia-Herrera, Ricardo
AU - Nosov, Valeriy
N1 - Publisher Copyright:
© 1993-2012 IEEE.
PY - 2015/4/27
Y1 - 2015/4/27
N2 - In this paper, the controllability property for a class of Takagi-Sugeno (T-S) fuzzy models is analyzed, while a fully nonlinear stabilizer is designed in a practical way. It is shown that global fuzzy stabilizers can be constructed in a nonconservative way by means of a relatively simple approach. The existence of such controllers depends on the fuzzy controllability conditions, which are derived in a straightforward way. The main advantage of the proposed approach is that the convergence of the closed-loop system can be imposed arbitrarily. Some examples are given in order to illustrate the validity of the method. Finally, the proposed controller is applied on an underactuated system known as "pendubot" and the results are compared with an stabilizer designed on the basis of LMIs.
AB - In this paper, the controllability property for a class of Takagi-Sugeno (T-S) fuzzy models is analyzed, while a fully nonlinear stabilizer is designed in a practical way. It is shown that global fuzzy stabilizers can be constructed in a nonconservative way by means of a relatively simple approach. The existence of such controllers depends on the fuzzy controllability conditions, which are derived in a straightforward way. The main advantage of the proposed approach is that the convergence of the closed-loop system can be imposed arbitrarily. Some examples are given in order to illustrate the validity of the method. Finally, the proposed controller is applied on an underactuated system known as "pendubot" and the results are compared with an stabilizer designed on the basis of LMIs.
KW - Fuzzy Ackermann's formula
KW - Takagi-Sugeno (T-S) fuzzy models
KW - fuzzy controllability
KW - fuzzy stability
UR - http://www.scopus.com/inward/record.url?scp=84926478783&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2014.2312025
DO - 10.1109/TFUZZ.2014.2312025
M3 - Artículo
SN - 1063-6706
VL - 23
SP - 291
EP - 301
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 2
M1 - 6767055
ER -