Fault-Tolerant Stochastic Sampled-Data Fuzzy Control for Nonlinear Delayed Parabolic PDE Systems

For nonlinear delayed parabolic partial differential equation (PDE) systems, this article addresses fault-tolerant stochastic sampled-data (SD) fuzzy control under spatially point measurements (SPMs). Initially, a T-S fuzzy PDE model is given to accurately describe the nonlinear delayed parabolic PD...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2023-08, Vol.31 (8), p.2679-2693
Main Authors: Li, Qian-Qian, Wang, Zi-Peng, Huang, Tingwen, Wu, Huai-Ning, Li, Han-Xiong, Qiao, Junfei
Format: Article
Language:English
Subjects:
Actuator failure
Actuators
Closed loops
Fault tolerance
Fault tolerant systems
fault-tolerant control
Fuzzy control
Linear matrix inequalities
Mathematical analysis
Mathematical models
Nonlinear control
Nonlinear delayed parabolic partial differential equation (PDE) system
Nonlinear systems
Parabolic differential equations
Partial differential equations
Sampling
spatially point measurements (SPMs)
Stochastic processes
stochastic sampled-data (SD) control
Upper bound
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For nonlinear delayed parabolic partial differential equation (PDE) systems, this article addresses fault-tolerant stochastic sampled-data (SD) fuzzy control under spatially point measurements (SPMs). Initially, a T-S fuzzy PDE model is given to accurately describe the nonlinear delayed parabolic PDE system. Second, in consideration of possible actuator failure, a fault-tolerant SD fuzzy controller with stochastic sampling under SPMs is designed for nonlinear delayed parabolic PDE system, where two sampling periods are considered whose occurrence probabilities are given constants and satisfy the Bernoulli distribution. Then, by constructing a novel time-dependent Lyapunov functional, sufficient conditions that guarantee the mean square exponential stability of closed-loop delayed PDE system are obtained based on linear matrix inequalities. Last, three examples are given to illustrate the designed approach.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2023.3235400