通信带宽有限的重置控制系统

Reset-control systems with restricted communication bandwidth

针对经由具有通信带宽限制的网络通道构成反馈的重置控制系统,讨论了时变网络化控制系统的建模与镇定问题,利用Lyapunov方法获得了这类系统的指数稳定性判据,并将该结论推广到有界摄动条件下的鲁棒稳定性问题．随后又利用Riccati矩阵微分方程方法,得到了一种更加实用的指数稳定性条件,并证明该结论对于渐进跟踪问题和扰动抑制问题仍然成立．

The modeling and stabilization of time-varying networked reset-control systems closed via a channel with restricted communication bandwidth are studied in this paper. Exponential stability criteria for such systems are obtained using Lyapunov method, which is further extended to the case of robust stability of such systems with bounded perturbation. Then a more easily testable exponential stability condition is derived based on Riccati matrix differential equation. This result is proved to be applicable to the asymptotic tracking and disturbance rejection problems of such systems.