摘要近年来，控制科学、网络和通信技术获得了巨大的发展，它们彼此影响，使得控制系统的内部构造变得愈来愈复杂，这要求系统必须改善和提高本身的控制性能，在这种背景下网络控制系统应运而生。网络控制系统，因其具有较低的成本、分布进行控制等优点，而大量地应用于机器人、电子和宇航等控制系统中。目前，越来越多的学者致身到NCS的理论和应用的研究中。在引进网络之后，控制系统的复杂性和不确定性将无可避免，主要表现为时延、数据包丢失和时序错乱等等，若不可以妥善地处理出现的问题，将会对控制系统的性能造成较大的损害。86831

作为正常系统的一种深度的推广，广义系统广泛出现在大量的现实模型中。然而因它有许多异于正常系统的特点，所以不可以直接应用很多正常系统的结论。对于网络控制系统进行的研究正如火如荼，对于广义网络控制系统进行的相关研究也成绩初现。

本文针对一种有短时延的正则、无脉冲的广义网络控制系统进行了分析和设计。其中传感器采用的驱动方式是时钟驱动，控制器和执行器采取事件驱动。假设定常网络诱导时延比一个采样周期小并且不考虑数据包丢失，采用单包传输。对广义NCS进行了数学模型的建立，使之成为一个异步动态系。进而对广义网络控制系统进行了稳定性分析，借助李雅普诺夫函数和线性矩阵不等式方法，对系统进行分析并给出了使得系统稳定的充分条件。利用MATLAB LMI工具箱，可以在判定系统稳定性的同时，设计出相应的满足稳定性条件的状态反馈控制器。最后对给定的仿真算例，利用MATLAB LMI和SIMULINK工具箱，给出仿真结果与仿真图，从而表明了该方法的可行性。

毕业论文关键词：广义网络控制系统；网络诱导时延；线性矩阵不等式(LMI )；稳定性；状态反馈控制器

Abstract In recent years, scientific control, network and communications technology develope and penetrate each other。 The configuration of the control system increasingly complex。 It demand that systems continue to improve and enhance the control performance。 In this context network control system came into being。 Network control system has many advanrtages such as a lower cost and distribution control。 So it was generally used in robotics, electronics and aerospace and other control systems。 At present, more and more scholars start to study theory and application of the NCS。 After the introduction of the network, the complexity and uncertainty of control system is inevitable。 There are mainly delay, packet loss and timing disorder。 If you cannot handle the problems properly, the performance of the control system will suffer greater damage。

As the deep promotion of a normal system, generalized systems are widely present in a large number of real models。 However, since the NCS has many characteristics that are different from the normal system, it can not directly apply many conclusions of normal system。 The research for the network control system is greatly developing and research for singular network control system has also many results。

In this paper, we analyze and design with a kind of singular network control system with certain short delay。 We assume that the system is regular and impulse free, that the sensor use clock drive mode, controller and actuator use event drive mode, that network - induced delay is less than one sampling period, and that there no packet loss and the NCS use the way of single packet transmission。 We build a mathematical model for the singular NCS, making it a dynamic asynchronous system。 Furthermore, we analyze the stability of singular NCS by means of Lyapunov function and linear matrix inequality approach, and obtain a sufficient condition that lets the system keep stable。 By MATLAB LMI toolbox, we can not only judge the stability of the system, but also obtain a state feedback controller that meet the corresponding conditions for the stability。 Finally, simulation results and simulation diagram are given for a simulation example by MATLAB LMI toolbox and SIMULINK, which shows the feasibility of the method。