The sliding mode control (SMC) problem for a class of discrete-time networked switched systems under the coding-decoding communication protocol (CDCP) is studied in this note. In the networked control systems, the CDCP is adopted to improve the efficiency and security of data transmission. First, based on the uniform quantization method, the criteria to ensure the detectability of the system are given, which establishes the theoretical framework of the CDCP. In addition, a mode-dependent switched sliding surface and control law are constructed in terms of the decoded signal. Then, on the basis of the mode-dependent Lyapunov function and matrix decoupling technique, sufficient conditions are given to ensure the exponential boundedness of the system, and the proof of reachability shows that the state responses can reach the sliding surface region in a finite time. Finally, the effectiveness and feasibility of the proposed SMC scheme are demonstrated by a numerical example.

中文翻译：

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基于编解码的网络持续驻留时间切换系统的滑模控制

本笔记研究了编码解码通信协议（CDCP）下一类离散时间网络交换系统的滑模控制（SMC）问题。在网络化控制系统中，采用CDCP来提高数据传输的效率和安全性。首先，基于统一量化方法，给出了保证系统可检测性的标准，从而建立了CDCP的理论框架。此外，根据解码信号构建了与模式相关的切换滑动面和控制律。然后，在依赖模态的李雅普诺夫函数和矩阵解耦技术的基础上，给出了保证系统指数有界性的充分条件，可达性证明表明状态响应可以在有限时间内到达滑动面区域。最后，通过数值例子证明了所提出的 SMC 方案的有效性和可行性。