针对非线性连续脉冲系统,设计了一种基于多包传输的脉冲反馈控制器保证相应的闭环系统渐近稳定.首先,考虑从测量变送器到控制器以及从控制器传输到执行器都有数据丢包,并均为独立的Bernoulli过程,建立了闭环多包传输脉冲反馈控制系统的数学模型.其次,根据李雅普诺夫理论和系统范数稳定理论,给出了系统在连续状态和脉冲发生时刻保证系统渐近稳定的充分条件.并给出了脉冲反馈控制器增益的设计步骤.最后,给出的数值仿真算例,结果表明利用所设计的脉冲控制器能够保证基于多包传输的闭环非线性系统是渐近稳定的.

The impulsive controller is designed for nonlinear systems with multiple-packet transmission so that the stability of the corresponding closed-loop system is ensured. First, the mathematic model of the closed-loop system is built in terms of that both sensor-to-controller (S/C) and controller-to-actuator (C/A) has
packet dropouts and they are independent Bernoulli. Then, by using Lyapunov theory and system normal stability theory, sufficient condition is established to guarantee the asymptotical stability in continuous interval and impulsive instant. Finally, numerical simulation examples are given to demonstrate that asymptotically stability of close-loop nonlinear system with multiple-packet transmission is guaranteed by using the networked impulsive controller.