TY - JOUR
T1 - Design of Stabilizers and Observers for a Class of Multivariable T-S Fuzzy Models on the Basis of New Interpolation Functions
AU - Meda-Campana, Jesus Alberto
AU - Grande-Meza, Araceli
AU - De Jesus Rubio, Jose
AU - Tapia-Herrera, Ricardo
AU - Hernandez-Cortes, Tonatiuh
AU - Curtidor-Lopez, Airam V.
AU - Paramo-Carranza, Luis Alberto
AU - Cazares-Ramirez, Irving Omar
N1 - Publisher Copyright:
© 1993-2012 IEEE.
PY - 2018/10
Y1 - 2018/10
N2 - An approach to design stabilizers and observers for a class of multiple-input multiple-output (MIMO) Takagi-Sugeno (T-S) fuzzy models is developed on the basis of local gains and the searching for a set of interpolation functions capable of properly combining the aforementioned local gains. As expected, the existence of such interpolation functions depends on the controllability and observability properties of the overall multivariable T-S fuzzy model. For that reason, practical controllability and observability tests are also proposed for MIMO T-S fuzzy systems. Some numerical simulations are used in order to validate the efficacy of the method. Besides, the results are compared with an approach based on linear matrix inequalities, namely parallel distributed compensation.
AB - An approach to design stabilizers and observers for a class of multiple-input multiple-output (MIMO) Takagi-Sugeno (T-S) fuzzy models is developed on the basis of local gains and the searching for a set of interpolation functions capable of properly combining the aforementioned local gains. As expected, the existence of such interpolation functions depends on the controllability and observability properties of the overall multivariable T-S fuzzy model. For that reason, practical controllability and observability tests are also proposed for MIMO T-S fuzzy systems. Some numerical simulations are used in order to validate the efficacy of the method. Besides, the results are compared with an approach based on linear matrix inequalities, namely parallel distributed compensation.
KW - Fuzzy controllability
KW - Takagi-Sugeno (T-S) fuzzy models
KW - fuzzy observability
KW - fuzzy observer
KW - fuzzy stabilizer
KW - multivariable systems
UR - http://www.scopus.com/inward/record.url?scp=85039784575&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2017.2786244
DO - 10.1109/TFUZZ.2017.2786244
M3 - Artículo
SN - 1063-6706
VL - 26
SP - 2649
EP - 2662
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 5
M1 - 8234691
ER -