In the network environment, the single time-triggered scheme wastes limited bandwidth resources due to all the sampled data are transmitted to the networks, and the single event-triggered scheme may increase system error because of ignoring factors such as changes in network utilization. To reduce the design conservatism, this paper is concerned with the hybrid-triggered L₁ fault detection filter design for a class of nonlinear networked control systems (NCSs) described by Takagi–Sugeno (T-S) fuzzy model. Taking the effects of time-triggered scheme and event-triggered scheme into consideration simultaneously, we construct a fuzzy fault detection system. New results on stability and L₁ performance are proposed for fuzzy fault detection system by exploiting the Lyapunov–Krasovskii functional and by means of the integral inequality method. Specially, attention is focused on the design of fault detection filter that guarantees a prescribed L₁ noise attenuation level . Finally, two examples are presented to demonstrate the effectiveness of the proposed method.

中文翻译：

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受持续重噪声干扰的网络化 Takagi-Sugeno 模糊系统的混合触发故障检测滤波器设计

在网络环境中，单一时间触发方案由于所有采样数据都传输到网络，浪费了有限的带宽资源，而单一事件触发方案可能会因为忽略网络利用率变化等因素而增加系统误差。为了降低设计的保守性，本文研究了由 Takagi-Sugeno (TS) 模糊模型描述的一类非线性网络控制系统 (NCS)的混合触发L ₁故障检测滤波器设计。同时考虑时间触发方案和事件触发方案的影响，我们构建了一个模糊故障检测系统。稳定性和L _{1 的}新结果通过利用 Lyapunov-Krasovskii 泛函和积分不等式方法，提出了模糊故障检测系统的性能。特别地，注意力集中在保证规定的L ₁噪声衰减水平的故障检测滤波器的设计上。最后，给出了两个例子来证明所提出方法的有效性。