TY - JOUR
T1 - A Lyapunov Analysis for Mamdani Type Fuzzy-Based Sliding Mode Control
AU - Prieto-Entenza, Pablo Jose
AU - Cazarez-Castro, Nohe Ramon
AU - Aguilar, Luis T.
AU - Cardenas-Maciel, Selene L.
AU - Lopez-Renteria, Jorge Antonio
N1 - Publisher Copyright:
© 1993-2012 IEEE.
PY - 2020/8
Y1 - 2020/8
N2 - We derive sufficient conditions to guarantee asymptotic stability for fuzzy-based sliding mode controllers applied to single-input single-output nonlinear systems, made in the framework of the Lyapunov functions. Such conditions also preserve the well-recognized features of both sliding mode control and Mamdani-type fuzzy control such as robustness and uncertainties treatment. In addition, the rules for tuning the cores of membership functions are also found. Real-time experiments, made on a one-link pendulum, are performed to illustrate and demonstrate the theoretical results.
AB - We derive sufficient conditions to guarantee asymptotic stability for fuzzy-based sliding mode controllers applied to single-input single-output nonlinear systems, made in the framework of the Lyapunov functions. Such conditions also preserve the well-recognized features of both sliding mode control and Mamdani-type fuzzy control such as robustness and uncertainties treatment. In addition, the rules for tuning the cores of membership functions are also found. Real-time experiments, made on a one-link pendulum, are performed to illustrate and demonstrate the theoretical results.
KW - Fuzzy control
KW - Lyapunov stability
KW - sliding mode control
UR - http://www.scopus.com/inward/record.url?scp=85089703582&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2019.2923167
DO - 10.1109/TFUZZ.2019.2923167
M3 - Artículo
AN - SCOPUS:85089703582
SN - 1063-6706
VL - 28
SP - 1887
EP - 1895
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 8
M1 - 8736885
ER -