区间化时变时延的网络化切换系统建模与控制

摘要

研究了具有从传感器到控制器和控制器到执行器存在双边时变时延的网络控制系统指数稳定性的问题.首先将时延变化范围划分为多个等分区间,然后采用增广矩阵的方法建立了参数不确定的离散时间切换闭环系统模型.同时基于平均驻留时间分析方法,给出了系统满足指数稳定的条件,接着进一步的建立了时延区间划分个数与系统状态指数衰减率的定量关系.该方法有效降低了系统设计的保守性,一定程度上减少了系统状态收敛的时间.最后通过数值仿真验证了所提方法的有效性.%The exponential stability problem is studied for the networked control systems with bilateral time-varying delay of sensor-to-controller and controller-to-actuator. A discrete-time switched closed-loop system with uncertain pa-rameters is modeled by partitioning the range of time-varying delay into multi-equal intervals and using the method of augmented matrix. Then the condition meeting the exponential stability in the closed-loop system is presented, and the quantitative relation between the number of delay intervals and the exponential decay rate is established based on the ap-proach of average dwell time. The proposed design method can decrease the conservatism of the system design and shorten the convergence time to some degree. Finally, the simulation results are given to illustrate the effectiveness of the proposed method.