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一类基于切换的非线性网络控制系统的控制研究

Research on Control of a Class of Nonlinear Networked Control Systems Based on Switching

【作者】 袁国强

【导师】 徐炳吉;

【作者基本信息】 中国地质大学(北京) , 检测技术与自动化装置, 2010, 硕士

【摘要】 网络控制系统(NCS,Networked Control System)是指传感器、控制器和执行器机构通过通信网络形成闭环的控制系统。在网络控制系统中,网络成为一种媒介实现分属于不同区域里的系统部件之间的信息交换和控制信号的传递。因此网络控制系统中的丢包,时延和不确定性使得这方面的研究十分复杂。本文主要基于切换技术对一类非线性网络控制系统进行了模型建立、鲁棒分析和最优控制。主要结果如下:首先介绍了网络控制系统的产生与发展过程以及研究内容和研究现状及其存在的问题,之后简述了切换系统的研究和发展。其次研究了一类非线性系统简单的短时延、单包传输条件下丢包的数学模型。然后逐步得出此类非线性过程长时延、多包传输条件下丢包的系统的数学模型,为以后的分析、仿真和控制器设计奠定了基础。再次考虑了系统中存在种种不确定性的情况下,如何保持切换系统的稳定性。通过研究,得到文中所研究系统在任意切换条件下保证不确定网络控制系统的鲁棒二次稳定性的条件,仿真结果验证了本文所提方法的正确性和有效性。最后分析了Markov特性的短时延非线性网络控制系统的镇定,首先建立了数学模型,根据模型,设计了使得闭环系统稳定的状态反馈和输出反馈控制器,并研究其稳定性问题;仿真结果验证了本文所提方法的正确性和有效性。然后分析了Markov特性的长时延非线性网络控制系统的最优控制,建立了数学模型,根据模型进行了随机最优控制研究。

【Abstract】 Network Control System (NCS, Networked Control System) is a closed-loop communication network control system which composed and operated by sensor, controller and actuator .In the network control system, the network serves as a medium to achieve the exchange of signal and data between system components and control signals which are arranged in different regions. Packet loss, transmit delay, and uncertainty are normal phenomenon in network control system, therefore the research of NCS is very complicated.Based on switching technology, this paper build a model for a class of nonlinear networked control system, then analysis the robust and optimal control characteristic of the model.The main results are as follows:Firstly, this paper introduces the production and research development of network control system, the status of current research and problems needed to be improved, and briefly illustrate the research and development of switched systems.Secondly, study the simple short delay and packet loss under a single packet transmission in the model of a class of nonlinear systems. Through these research this paper propose the model for network control system under the condition of long delay and packet loss over many packets, this is the foundation of the subsequent analysis, simulation and controller design .Thirdly, considering the system uncertainties exist in many cases, therefore it is critical to maintain the stability of switched systems. Through research, this paper concludes the conditions which make sure the robust quadratic stability of uncertain networked control systems stability under arbitrary switching cases.Finally, in order to analysis the stabilization of Markov properties short delayed nonlinear network control systems, this paper first build a mathematical model of the system, then based on the model this paper designed state feedback and output feedback controllers which can keep the stable of the closed-loop system. The simulation results demonstrate the validity and effectiveness of the proposed method. This paper also analyzed the optimal control of Markov properties long-delay nonlinear networked control systems, build a mathematical model and study the stochastic optimal control of the model.

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