Fault Detection Filtering for Uncertain It(o)over-cap Stochastic Fuzzy Systems With Time-Varying Delays

作者：Zhuang, Guangming^*; Yu, Xingjiang; Chen, Jun

来源：Circuits, Systems, and Signal Processing, 2015, 34(9): 2839-2871.

DOI：10.1007/s00034-015-9994-7

• Fault detection filtering
• It(o)over-cap stochastic fuzzy system
• Parameter uncertainty
• Time-varying delay
• Linear matrix inequality

This paper considers the problem of robust fault detection for a class of It stochastic Takagi-Sugeno fuzzy systems with time-varying delays and parameter uncertainties. The purpose is to design fuzzy-rule-independent and fuzzy-rule-dependent fault detection filters, which guarantee the fault detection system is not only mean square asymptotically stable, but also satisfies a prescribed -norm level for all admissible uncertainties. Via the application of Lyapunov stability theory and the linear matrix inequality technique, novel delay-dependent solvability conditions are obtained. Weighting fault signal approach is utilized to improve the performance of the fault detection system, and explicit expression of the desired filter parameters is characterized by congruence transformation, matrix decomposition, and convex optimization technique. A numerical example and a mass-spring-damper mechanical system are employed to illustrate the usefulness and effectiveness of the proposed method.

• 出版日期2015-9
• 单位聊城大学; 南京理工大学