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考虑存在时延和数据包丢失的情况,研究了奇异被控对象的网络控制系统建模与指数稳定性问题.当时延不大于一个采样周期且数据包丢失率一定时,将正则、无脉冲的奇异网络控制系统建模为数据包丢失率约束的异步动态切换系统,给出了状态反馈和动态输出反馈的统一数学模型;推导出数据包丢失率约束的系统指数稳定的充分条件,给出了使系统指数稳定的最大允许数据包丢失率.仿真结果表明了该方法的有效性和可行性.
Considering the existence of delay and packet loss, this paper studies the modeling and exponential stability of the networked control system for singular controlled objects. When the delay is less than one sampling period and the packet loss rate is constant, the regular and pulseless A singular network control system is modeled as an asynchronous dynamic switching system with packet loss rate constraints. A unified mathematical model of state feedback and dynamic output feedback is given. Sufficient conditions for exponential stability of the system with packet loss rate constraints are derived. The maximum permissible packet loss rate that makes the system exponential stable.The simulation results show the effectiveness and feasibility of the proposed method.