具有时变传输周期的奇异网络化系统鲁棒控制

Robust Control for Singular Networked Systems with Time-Varying Transmission Period

研究了一类具有时变传输周期的奇异系统网络化控制问题.在无传输时滞和丢包的条件下,将时变传输周期变量看作参数不确定项,从而系统可转化为异步动态不确定系统.进一步地,利用Lyapunov稳定性理论和线性矩阵不等式方法,研究该异步动态系统的反馈控制问题.给出了有效的控制器设计方法和系统稳定的充分条件.最后,通过数值仿真例子验证了本文方法的有效性.

The networked control problem for a class of singular systems with time-varying transmission period was addressed. Firstly, the singular networked control system was transformed as an asynchronous dynamical system in the case of no networked-induced delay and no data packet dropout. Meanwhile, the time-varying transmission period was regarded as a time-varying uncertain parameter. Further, the feedback stabilization of the asynchronous dynamical system was studied by Lyapunov stability theory and linear matrix inequality techniques. A sufficient condition was presented such that the system was asymptotically stable. Finally, a numerical example was presented to illustrate the effectiveness of the proposed method.