TY - JOUR
T1 - Fuzzy Boundary Sampled-Data Control for Nonlinear Parabolic DPSs
AU - Wang, Zi Peng
AU - Li, Qian Qian
AU - Qiao, Junfei
AU - Wu, Huai Ning
AU - Huang, Tingwen
N1 - Publisher Copyright:
© 2013 IEEE.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - For a nonlinear parabolic distributed parameter system (DPS), a fuzzy boundary sampled-data (SD) control method is introduced in this article, where distributed SD measurement and boundary SD measurement are respected. Initially, this nonlinear parabolic DPS is represented precisely by a Takagi-Sugeno (T-S) fuzzy parabolic partial differential equation (PDE) model. Subsequently, under distributed SD measurement and boundary SD measurement, a fuzzy boundary SD control design is obtained via linear matrix inequalities (LMIs) on the basis of the T-S fuzzy parabolic PDE model to guarantee exponential stability for closed-loop parabolic DPS by using inequality techniques and a acrlong LF. Furthermore, respecting the property of membership functions, we present some LMI-based fuzzy boundary SD control design conditions. Finally, the effectiveness of the designed fuzzy boundary SD controller is demonstrated via two simulation examples.
AB - For a nonlinear parabolic distributed parameter system (DPS), a fuzzy boundary sampled-data (SD) control method is introduced in this article, where distributed SD measurement and boundary SD measurement are respected. Initially, this nonlinear parabolic DPS is represented precisely by a Takagi-Sugeno (T-S) fuzzy parabolic partial differential equation (PDE) model. Subsequently, under distributed SD measurement and boundary SD measurement, a fuzzy boundary SD control design is obtained via linear matrix inequalities (LMIs) on the basis of the T-S fuzzy parabolic PDE model to guarantee exponential stability for closed-loop parabolic DPS by using inequality techniques and a acrlong LF. Furthermore, respecting the property of membership functions, we present some LMI-based fuzzy boundary SD control design conditions. Finally, the effectiveness of the designed fuzzy boundary SD controller is demonstrated via two simulation examples.
KW - Boundary sampled-data (SD) control
KW - boundary SD measurement
KW - distributed SD measurement
KW - fuzzy control
KW - parabolic distributed parameter system (DPS)
UR - https://www.scopus.com/pages/publications/85173389614
U2 - 10.1109/TCYB.2023.3312135
DO - 10.1109/TCYB.2023.3312135
M3 - 文章
C2 - 37751339
AN - SCOPUS:85173389614
SN - 2168-2267
VL - 54
SP - 3565
EP - 3576
JO - IEEE Transactions on Cybernetics
JF - IEEE Transactions on Cybernetics
IS - 6
ER -