研究有数据包丢失的比例积分输出反馈网络控制系统的指数稳定性和控制器设计.将有时延和数据包丢失、无时延和有数据包丢失等情形的比例积分输出反馈网络控制系统建模为异步动态系统.基于异步动态系统理论、Lyapunov稳定性原理和线性矩阵不等式方法提出网络控制系统指数稳定的半负定矩阵条件和比例积分输出反馈控制器设计方法.通过数值算例说明指数稳定的半负定矩阵条件和控制器设计方法是可行的.
Exponential stability and controller design of Proportion-Integral(PI) output feedback net-worked control system (NCS) with the dropped out packets are studied. The model for such PI output feedback NCS with time-delay and data packet dropout and with data packet dropout and no time-delay are presented. The NCS is modeled as asynchronous dynamical systems constrained by event rates. Based on the theory of asynchronous dynamical system, Lyapunov stability theory and linear matrix inequality method, the negative semi-definite matrix condition for exponential stability of the NCS and the controller design method for PI output feedback are presented. Numerical examples show that the negative semi-definite matrix condition of exponential stability and the controller design method are feasible.