基于自由权矩阵的时变时延 NCSs 稳定性和鲁棒性分析

基于自由权矩阵的时变时延 NCSs 稳定性和鲁棒性分析潘丽姣

【期刊名称】《计算机应用与软件》

【年(卷),期】2014(000)003

【摘要】We study the stability and robustness issue of a class of network control system with time-varying delay.Aiming at the linear constant object,the sensor node uses the clock-driven mode,the controller node and the executer node use the event-driven mode,in these statuses the feedback of the network control system is got.A mathematical model of the system delay is deduced in detail.Moreover,based on full consideration of the correlation of the system states and the uncertainty of the system parameters,the Lyapunov-Krasovskii functional and the relaxation matrix variable technique as well as free-weighting matrix method are used to discuss its conditions of asymptotical stability and robustness.At last,the effectiveness and feasibility of the proposed theory is verified through simulation experiment.%研究一类时变时延网络控制系统的稳定性和鲁棒性问题。针对线性定常对象，传感器节点采用时钟驱动方式、控制器节点和执行器节点采用事件驱动方式的状态反馈网络控制系统，详细推导系统的时滞数学模型。并在充分考虑系统状态的相关性和参数的不确定性基础上，采用Lyapunov-Krasovskii 泛函和松弛矩阵变量技术以及自由权矩阵方法，探讨其渐近稳定性和鲁棒稳定性条件。最后，通过仿真实例验证所提理论的有效性和