In this article, the problems of stabilization and $L_2$ -gain performance analysis for continuous-time networked control systems (NCSs) with quantization effects are addressed. The plant output and control input are quantized respectively by two different dynamic quantizers before being transmitted over networks. In order to deal with the dynamic behavior resulting from the dynamic quantizers, a hybrid system framework is adopted to remodel the NCSs. The hybrid model is flexible to the joint design of dynamic output feedback controller, nonequidistant samplers and dynamic quantizers. Furthermore, our method can effectively prevent the Zeno phenomenon on the instants of sampling and the updates of quantizer variables. By constructing a novel Lyapunov function, new sufficient conditions guaranteeing the uniformly globally asymptotic stability (UGAS) and $L_2$ -gain performance are presented in terms of matrix inequalities, respectively. Finally, two numerical examples illustrate the effectiveness of our proposed method.

中文翻译：

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量化动态输出反馈控制和 $ L_2 $网络控制系统的增益分析：一种混合方法

在本文中，关于稳定性和稳定性的问题 $ L_2 $ 解决了具有量化效应的连续时间网络控制系统（NCS）的增益性能分析。在通过网络传输之前，工厂的输出和控制输入分别由两个不同的动态量化器进行量化。为了处理动态量化器产生的动态行为，采用了混合系统框架来重构NCS。混合模型可以灵活地用于动态输出反馈控制器，非等距采样器和动态量化器的联合设计。此外，我们的方法可以有效地防止在采样瞬间和量化变量更新时的芝诺现象。通过构造一个新颖的Lyapunov函数，新的充分条件保证了一致的全局渐近稳定性（UGAS）和$ L_2 $ 增益性能分别用矩阵不等式表示。最后，两个数值例子说明了我们提出的方法的有效性。