In this article, we characterize the joint effects of plant uncertainty, transmission delay, and fading channel on the stabilization problem of networked control systems (NCSs). We assume that the controller remotely controls the plant and the control packet is transmitted over a delayed and fading channel. We formulate the integrated system as an uncertain discrete-time stochastic system with both input delay and multiplicative noise. The innovative contributions of this article are described as follows. We propose a set of necessary and sufficient conditions for stabilizing an uncertain-free system. Moreover, for the general uncertain model, we derive the necessary and sufficient stabilization condition in terms of symmetric matrix homogeneous polynomials, which can be verified by linear matrix inequality (LMI) feasibility test. As an application, under the parallel transmission strategy, we derive an explicit formula for computing the maximum allowable delay bound, which is uniquely determined by system parameters and signal-to-noise ratio.

中文翻译：

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时延和衰落信道下不确定网络控制系统的反馈镇定

在本文中，我们描述了设备不确定性，传输延迟和衰落信道对网络控制系统（NCS）稳定问题的联合影响。我们假设控制器远程控制工厂，并且控制数据包是通过延迟和衰落的信道传输的。我们将集成系统公式化为具有输入延迟和乘性噪声的不确定离散时间随机系统。本文的创新贡献描述如下。我们提出了一套稳定无不确定系统的必要条件和充分条件。此外，对于一般不确定模型，我们根据对称矩阵齐次多项式推导了充要条件，该条件可以通过线性矩阵不等式（LMI）可行性测试来验证。