针对非线性离散脉冲系统,设计了一种基于多包传输的脉冲反馈控制器以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离散脉冲反馈控制系统的数学模型.其次,根据系统范数稳定理论,给出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,在给定的数值仿真算例中,多包传输丢包概率分别取0,0.3,0.7,1.0,得到4种不同概率下的系统响应.分析结果表明,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离散系统是渐近稳定的.
A impulsive controller is designed for nonlinear discrete-time systems with multiple-packet transmission so that the stability of corresponding closed-loop system can be ensured.First,the mathematic model of corresponding closed-loop is built considering that processing of both sensor-to-controller(S/C) and controller-to-actuator(C/A) have packet dropouts and are independent Bernoulli processing.Secondly,by using normal stability theory,sufficient condition is established to guarantee the asymptotical stability in continuous interval and impulsive instant.The detail of design procedure is described.Finally,in numerical simulation example provided in this paper,four system response curves are derived for different probability 0,0.3,0.7,1.0 respectively.The results demonstrate that asymptotically stability of close-loop nonlinear discrete system with multiple-packet transmission is guaranteed by using the networked impulsive controller.