TY - JOUR
T1 - Exact output regulation for nonlinear systems described by Takagi-Sugeno fuzzy models
AU - Meda-Campaña, Jesús Alberto
AU - Gómez-Mancilla, Julio Ce
AU - Castillo-Toledo, Bernardino
N1 - Funding Information:
Manuscript received October 27, 2010; revised March 2, 2011 and June 3, 2011; accepted September 6, 2011. Date of publication October 19, 2011; date of current version April 4, 2012. This work was supported in part by Consejo Na-cional de Ciencia y Tecnologa through scholarship Sistema Nacional de Investi-gadores and by Instituto Politcnico Nacional through research project 20110250 and scholarships Estmulos al Desempeo de los Investigadores, Comisin de Op-eracin y Fomento de Actividades Acadmicas, and Programa Institucional de Formacin de Investigadores.
PY - 2012/4
Y1 - 2012/4
N2 - The exact output regulation for Takagi-Sugeno (T-S) fuzzy models depends on two conditions: 1) The local steady-state zero-error manifolds have to be the same for every local subsystem, and 2) the local input matrices have to be the same for every local subsystem included in the T-S fuzzy model. These conditions are difficult to satisfy in general. In this paper, those conditions are relaxed by solving the fuzzy regulation problem directly on the overall T-S fuzzy model, instead of constructing the fuzzy regulator on the basis of linear local controllers. By considering the fuzzy model as a special class of linear time-varying systems, existence conditions are rigorously derived. These new conditions, which can be solved by means of any mathematical software, depend on the solution of a set of symbolic simultaneous linear equations depending on the membership values of the plant and/or the exosystem. Two examples are given to illustrate the construction of the proposed regulator and to validate the improvement that is achieved with the proposed approach.
AB - The exact output regulation for Takagi-Sugeno (T-S) fuzzy models depends on two conditions: 1) The local steady-state zero-error manifolds have to be the same for every local subsystem, and 2) the local input matrices have to be the same for every local subsystem included in the T-S fuzzy model. These conditions are difficult to satisfy in general. In this paper, those conditions are relaxed by solving the fuzzy regulation problem directly on the overall T-S fuzzy model, instead of constructing the fuzzy regulator on the basis of linear local controllers. By considering the fuzzy model as a special class of linear time-varying systems, existence conditions are rigorously derived. These new conditions, which can be solved by means of any mathematical software, depend on the solution of a set of symbolic simultaneous linear equations depending on the membership values of the plant and/or the exosystem. Two examples are given to illustrate the construction of the proposed regulator and to validate the improvement that is achieved with the proposed approach.
KW - Francis equations
KW - Takagi-Sugeno (T-S) fuzzy model
KW - fuzzy output regulation
UR - http://www.scopus.com/inward/record.url?scp=84859734214&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2011.2172689
DO - 10.1109/TFUZZ.2011.2172689
M3 - Artículo
SN - 1063-6706
VL - 20
SP - 235
EP - 247
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 2
M1 - 6054029
ER -