Fuzzy Fault Detection Filter Design for T-S Fuzzy Systems in the Finite-Frequency Domain
Fuzzy Fault Detection Filter Design for T-S Fuzzy Systems in the Finite-Frequency Domain
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DOI：
10.1109/tfuzz.2016.2593921
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发表时间：
2017-10-01
影响因子：
11.9
通讯作者：
Braiek, Naceur Benhadj
中科院分区：
文献类型：
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作者：
Chibani, Ali;Chadli, Mohammed;Braiek, Naceur Benhadj
研究了一类具有未知输入和故障的Takagi-Sugeno模糊形式的非线性离散时间系统的故障检测滤波器设计问题。假设未知输入和故障频率都是已知的，并且位于低/中/高频率范围内。在有限频域中提出了一种滤波器，以减少在全频域中设计的滤波器所产生的保守性。为了保证对干扰的最佳鲁棒性和对故障的最佳灵敏度，所开发的滤波器结合了H（-）/H ∞性能。利用模糊李雅普诺夫函数和线性矩阵不等式方法，保证了滤波误差动态的渐近稳定性。最后，两个例子来验证所提出的新的设计技术。
This paper deals with the fault detection filter design for a nonlinear discrete-time system in the Takagi-Sugeno fuzzy form with faults and unknown inputs. Both unknown input and fault frequencies are assumed to be known and to reside in low-/middle-/high-frequency ranges. A filter is proposed in the finite-frequency domain to reduce the conservatism generated by those designed in the entire-frequency domain. In order to guarantee the best robustness to disturbances and sensitivity to faults, the developed filter combines theH(-)/H-infinity performances. The asymptotic stability of the filtering error dynamics is ensured by using a fuzzy Lyapunov function and a linear matrix inequality approach. Finally, two examples are presented to validate the proposed new design techniques.