Observer-based fault detection for continuous-discrete systems in T-S fuzzy model

The observer design problem for fault detection is considered for nonlinear continuous- discrete systems with Takagi-Sugeno fuzzy scheme and finite frequency specification in this paper. Two finite frequency performance indices H- and H & INFIN; are introduced to evaluate the sensitivity to faults and the robustness against disturbances in finite frequency domains. Based on the H-/H & INFIN; technique, this research is aimed to design a fault detection observer for the addressed system. Sufficient conditions are derived to guarantee the asymptotic stability, fault sensitivity and disturbance robustness of the residual error system. Simulation results further demonstrate effectiveness of the proposed approach.& COPY; 2023 Elsevier Ltd. All rights reserved.

Automated summary

This paper considers the observer design problem for fault detection in nonlinear continuous-discrete systems with the Takagi-Sugeno fuzzy scheme and finite frequency specification. Two finite frequency performance indices H- and H ∞ are introduced to evaluate the sensitivity to faults and the robustness against disturbances in finite frequency domains. Based on the H-/H ∞ technique, the research aims to design a fault detection observer for the system under consideration. Sufficient conditions are derived to guarantee the asymptotic stability, fault sensitivity, and disturbance robustness of the residual error system. Simulation results further demonstrate the effectiveness of the proposed approach. ©2023 Elsevier Ltd. All rights reserved.