Abstract
This paper is concerned with the problem of the fault detection for switched T-S fuzzy systems with actuator faults. The system faults and unknown disturbances are considered to be in a finite frequency domain. An effective fault detection filter is designed to measure the fault sensitivity and disturbance robustness. By using Parseval’s theorem and S-procedure, a new finite frequency method of fault detection for switched T-S fuzzy systems is formulated. Sufficient linear matrix inequalities (LMIs) conditions are proposed to design the fault detection filter, which can guarantee the finite frequency $H_{-}$ and $H_{\infty}$ performance. The effectiveness of the given finite frequency method for switched T-S fuzzy systems is illustrated through two numerical simulation examples.
Highlights
Due to the more increasing demand for reliability and safety in industrial control processes, the issue of fault detection is required in various kinds of practical complex systems
In [, ], the fault detection problems are considered for T-S fuzzy systems in finite frequency domain
We will develop some decoupling techniques to transform the conditions in Theorems, into linear matrix inequalities (LMIs) conditions to obtain the fault detection filter gains
Summary
Due to the more increasing demand for reliability and safety in industrial control processes, the issue of fault detection is required in various kinds of practical complex systems. In [ , ], the fault detection problems are considered for T-S fuzzy systems in finite frequency domain. In [ ], a fault detection filter design method is presented for switched fuzzy systems with average dwell time. The problem of fault detection for a class of switched T-S fuzzy systems in finite frequency domain is addressed. Based on the new BRL, the sufficient conditions for designing the filter which can guarantee the H– and H∞ performances are given in terms of solving a set of LMIs. Compared to the existing FD method in the full frequency domain [ ], the designed filter is more sensitive to the fault signal and more robust against disturbances due to the introduced additional slack matrix variable.
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