Open AccessFuzzy reduced-order filtering for nonlinear parabolic PDE systems with limited communication
Author(s) -
Zhen Zhang,
Xiaona Song,
Chunlei Li,
Xiangliang Sun
Publication year - 2021
Publication title -
complex engineering systems
Language(s) - English
Resource type - Journals
ISSN - 2770-6249
DOI - 10.20517/ces.2021.10
Subject(s) - nonlinear system , control theory (sociology) , fuzzy logic , mathematics , redundancy (engineering) , filter (signal processing) , partial differential equation , exponential stability , lyapunov function , linear matrix inequality , fuzzy control system , computer science , mathematical optimization , mathematical analysis , artificial intelligence , physics , control (management) , quantum mechanics , computer vision , operating system
This paper investigates a fuzzy reduced-order filter design for a class of nonlinear partial differential equation (PDE) systems. First, a Takagi-Sugeno (T-S) fuzzy model is considered to reconstruct the nonlinear PDE system. Then, the employment of an event-triggered mechanism (ETM) can effectively avoid signal redundancy and improve network resource utilization. Furthermore, based on the advantages of the fuzzy model and ETM, several Lyapunov functions are designed and the proposed filter parameters are obtained by adopting linear matrix inequality methods to satisfy the asymptotic stability condition with H∞ performance. Finally, a simulation example is presented to demonstrate the practicality and effectiveness of the proposed filter design method.