TY - GEN
T1 - Sampled-data fuzzy control with exponential time-varying gains for nonlinear parabolic PDE systems
AU - Li, Qian Qian
AU - Wang, Zi Peng
AU - Wu, Huai Ning
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/10/16
Y1 - 2020/10/16
N2 - The purpose of this paper is to use the sampled-data fuzzy control (SDFC) method with exponential time-varying gains (ETVGs) for solving the control problem with regard to nonlinear parabolic PDE systems. Firstly, a model is established via the T-S fuzzy approach towards the PDE system. Next, a SD fuzzy controller with ETVGs is designed for the system. Via a Lyapunov functional, the design condition of the SD fuzzy controller with ETVGs expressed by the linear matrix inequalities is obtained, which is used to make the system exponentially stable (ES). Lastly, by carrying out simulation verification through a concrete example, we test and verify the validity of the SDFC approach.
AB - The purpose of this paper is to use the sampled-data fuzzy control (SDFC) method with exponential time-varying gains (ETVGs) for solving the control problem with regard to nonlinear parabolic PDE systems. Firstly, a model is established via the T-S fuzzy approach towards the PDE system. Next, a SD fuzzy controller with ETVGs is designed for the system. Via a Lyapunov functional, the design condition of the SD fuzzy controller with ETVGs expressed by the linear matrix inequalities is obtained, which is used to make the system exponentially stable (ES). Lastly, by carrying out simulation verification through a concrete example, we test and verify the validity of the SDFC approach.
KW - Exponential Stability
KW - Exponential Time-Varying Gains
KW - Linear Matrix Inequality
KW - Nonlinear Parabolic PDE System
KW - Sampled-Data Fuzzy Control
UR - https://www.scopus.com/pages/publications/85101152168
U2 - 10.1109/YAC51587.2020.9337586
DO - 10.1109/YAC51587.2020.9337586
M3 - 会议稿件
AN - SCOPUS:85101152168
T3 - Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020
SP - 264
EP - 268
BT - Proceedings - 2020 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 35th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2020
Y2 - 16 October 2020 through 18 October 2020
ER -