基于调度协议的离散系统网络控制：时滞系统方法

项目名称： 基于调度协议的离散系统网络控制：时滞系统方法

项目编号： No.61503026

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 刘坤

作者单位： 北京理工大学

项目金额： 22万元

中文摘要： 本项目拟利用时滞系统方法深入研究离散系统在具有多通信通道、大网络诱导时延和通信受限网络下的建模与控制问题。首先，分别采用Round-Robin、Try-Once-Discard和随机调度协议，给定网络诱导时延上下界的情况下，建立增广的闭环系统模型，其增广状态不仅要包含被控对象的状态，还要包含由调度协议导致的传感器节点当前传输值与上一次传输值的差值，通过引入合适的Lyapunov泛函进行稳定性及性能分析。其次，考虑具有泊松分布的网络诱导时延，基于以上三类调度协议，建立合理的模型并用Lyapunov方法进行分析。进一步，期望构造更为有效的Lyapunov泛函，改进以上结果的保守性。最后，考虑调度协议调节参数与控制器的联合设计问题。数值算例和仿真实验验证所得结果的有效性。本项目的研究目的是建立一套较为统一的受调度协议影响的网络控制系统的时滞系统分析理论。

中文关键词： 离散时滞系统；网络控制系统；调度协议；Lyapunov方法

英文摘要： This project is focused on the network-based control of a linear discrete-time plant in feedback control over a communication network with multiple communication channels, large network-induced delays and communication constraints. Firstly, given the lower and upper bounds of the network-induced delays, we plan to model the closed-loop system as an augmented system, the state of which should include not only the state of the plant but also the error between the current samples and the last available information on the sensor side. The stability and performance of the augmented system will be analyzed via appropriate Lyapunov functionals. Secondly, by modelling the network-induced delays as a poisson distribution, Lyapunov-based method will be proposed for the analysis of the closed-loop system in the presence of scheduling protocols. Next, it is desired that less conservative results will be derived by introducing developed Lyapunov functionals. Finally, the co-design of the feedback controller and the tuning parameter of scheduling protocols will be investigated. The objective of this project is to establish more complete theoretical results with respect to the time-delay approach for the analysis of networked control systems under scheduling protocols.

英文关键词： Discrete-time time-delay systems;Networked control systems;Scheduling protocols;Lyapunov method