In this paper, we focus on the finite region stability (FRS) and networked predictive control (NPC) problems for two-dimensional (2-D) networked control systems (NCS) with time delays, quantization errors, packet losses and random disturbances described by the Roesser model. The random packet dropouts and disturbances are modeled as Bernoulli process, and the sufficient conditions of FRS and finite region boundedness (FRB) for 2-D NCS are obtained by using the expectation to process the Lyapunov function difference, so as to better study the transient performance of the systems. According to the recursive formula, an active compensation scheme for time delays of NPC is proposed, which takes into account quantization errors, packet losses, nonlinearity and interferences. Introducing FRS and FRB into 2-D NCS and considering the above factors in NPC scheme are new attempts made in this paper. An example is used to demonstrate the validity of the conclusions in the end.

中文翻译：

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具有量化、丢包和随机扰动的二维非线性时滞系统的有限区域稳定性和网络预测控制

在本文中，我们重点研究二维（2-D）网络控制系统（NCS）的有限区域稳定性（FRS）和网络预测控制（NPC）问题，其中描述了时延、量化误差、数据包丢失和随机扰动通过罗瑟模型。将随机丢包和扰动建模为伯努利过程，利用期望处理Lyapunov函数差值，得到二维NCS的FRS和有限域有界性（FRB）的充分条件，从而更好地研究瞬态系统的性能。根据递推公式，提出了一种综合考虑量化误差、丢包、非线性和干扰的NPC时延主动补偿方案。将FRS和FRB引入二维NCS并在NPC方案中考虑上述因素是本文的新尝试。最后通过实例验证了结论的有效性。