不确定时滞网络控制系统的状态反馈控制

State feedback control for networked control system with time-delay and uncertainties

在网络传输过程中,系统的稳定性受不确定,网络延迟,丢包和错序所影响.本文针对这些非理想网络状况,研究了网络控制系统状态反馈控制.建立连续时间系统模型时,还引入了一个定常状态时延,使得模型更贴近实际.随后,运用改进的Lyapunov-Krasovskii函数,推导出网络控制系统鲁棒稳定的充分条件,并基于该充分条件得到利用线性矩阵不等式(LMI)的控制器设计方法,再运用迭代算法求解相关系数.最后通过MATLAB数值仿真算例,证明了本文方法的正确性和有效性.

In the process of signal transmission in network, the stability of the system is affected by uncertainties, timedelay, data packet dropout, and sequence errors. This paper is concerned with the state feedback control of networked control systems（NCS） under these nonideal network conditions. To closely model the real system, a constant time-delay is introduced in the continuous-time system model. A sufficient condition of robust stability for NCS is derived by using an improved Lyapunov-Krasovskii functional. Based on this condition a controller design method is proposed by using linear matrix inequalities（LMI）. The corresponding coefficients are obtained from the LMI by using an iterative algorithm. Simulation results of an example with MATLAB show the effectiveness and advantages of the proposed method.