18th International Conference on Innovative Computing, Information and Control (ICICIC2024)
Onsite (Qinhuangdao, China) and Online, September 10-13, 2024

PS-28: ICICIC2024-SS17-01
Event-Triggered Fault Detection Filtering of Fuzzy-Model-Based Systems
with Prescribed Performance
1,

2

Yao Wen *, Xiaojie Su and Yaoyao Tan
12

College of Automation, Chongqing University of Post and Telecommunication, Chongqing 400065, P. R. China
2
College of Automation, Chongqing University, Chongqing 400044, P. R. China*Corresponding author: wenyao@cqupt.edu.cnIntroduction

Mathematical Formulas

An event-triggered scheme considering network
bandwidth utilization rate and fault occurrence
probability is utilized, which can conserve
communication resources and reduce computationalburdens. The fault detection fuzzy filter is used as aresidual generator, and the proposed event-based fault
detection scheme is formulated as a fuzzy filtering
problem. Moreover, the generated residual is robust
against exogenous disturbances while being sensitive
to system faults, and the resulting fault detection
system has asymptotic stability with a specified
property. The corresponding solvability conditions ofthe fault detection filter are constructed by converting
the non-convex feasibility problem into the optimization
problems. Finally, a numerical simulation is conducted
to demonstrate the feasibility and validity.

The inferred fuzzy system can be obtained asr

 (t) = ∑ f i (x(t)){Ai x (t ) + Bi u (t ) + Ciω (t ) + C1i f (t )}xi =1ry(t) = ∑ f i (x(t)){Di x (t )}i =1

A new event-triggered condition is formulated ase T (t l )Λ i e(t l ) ≤ δ xδ y [ y (t − η (t )) − e(t l )]T Λ i [ y (t − η (t )) − e(t l )]The fault detection filter can be further describedasrx f (t) = ∑ f j (x(t l )){A fj x f (t ) + B fj [ y (t − η (t )) − e(tl )]}j =1

r

rf (t) = ∑ f j (x(t l )){C fj x f (t ) + D fj [ y (t − η (t )) − e(tl )]}j =1

FiguresFigure 1. Diagram of fuzzy event-based fault detection system

Methodologies
1)

2)

3)

Each delay data is taken into account in theestablishing of Lyapunov function, and thereciprocally convex approach is used to deal
with the delay sub-interval information.
The decoupling problem of parameters existingin the nonlinear matrix inequality constraints issolved, and the non-convex feasibility problem
in the fuzzy filter design is converted into theoptimization problem.
A different event-based scheme considering
network bandwidth utilization rate and fault
occurrence probability is introduced to reduce
the usage of limited network resources.

Figure 2. Release intervals and instants Figure 3. State responses of the systems

ConclusionWe solved the problem of fault detection in fuzzy
dynamic systems with external perturbations and faults. A
fuzzy filter was constructed to endow the resulting fault
detection system with asymptotic stability and a specific H∞
performance. In view of the limited number and unreliable
nature of network links, we considered the transmission
delay and used a flexible event-triggered strategy. Somesufficient conditions were included to guarantee the stability
subject to a prescribed performance index. Moreover,feasible solutions of the fuzzy filter design problem werederived using the variation replacement technique. Finally,
the effectiveness of developed design scheme was verified
by conducting a numerical simulation.