多模式网络化控制系统稳定性分析

Stability analysis of multi-regime networked control systems

中文关键词  网络控制  混杂系统  稳定性  时滞系统  线性矩阵不等式

英文关键词  networked control  hybrid systems  stability  time delay  linear matrix inequality

中文摘要

      网络传输引起的时滞在网络化控制系统中经常出现．针对存在多个运动模式的网络化控制系统,建立了时滞混杂自动机模型,分析了系统平衡点的稳定性,给出了平衡点保持稳定的充分条件在于构造的与离散状态相关的Lyapunov泛函在离散状态的切换时刻是非增的．当时滞混杂自动机中连续性子系统为线性时不变时滞系统时,可以利用线性矩阵不等式方法来寻找系统的公共Lyapunov泛函,并求解使系统平衡点保持稳定的时滞上界．最后,给出了一个例子说明了分析结果．

英文摘要

      A network-induced delay occurs frequently in networked control systems. A hybrid automaton with delay (HAD) is proposed to model a class of networked control systems with multiple continuous dynamical regimes. Based on the HAD model, the stability for the equilibrium of a networked control system is analyzed, and the sufficient condition of the stability for the equilibrium is also presented, in which, multiple Lyapunov functionals, with respect to the discrete states of the HAD, are non-increasing across the time instants when discrete transitions happen. Furthermore, for the case where the continuous dynamics in the HAD is denoted by a linear time invariant system with delay, the linear matrix inequality (LMI) technique is employed to search for a common Lyapunov functional of different discrete states in the HAD and to obtain the upper bound on the system delay remaining stable. Finally, an example is given to illustrate the analysis results.