一类关联时滞系统的分散稳定化控制器设计

应用Lyapunov稳定性理论,提出一类关联时滞系统能用分散线性状态反馈镇定的充分条件,进而证明了该条件等价于子系统级上N个带参数的代数Riccati矩阵方程的正定解的存在性,并利用这些正定解矩阵给出了相应的稳定化分散控制器。应用所提出的方法,可望得到具有更小反馈增益参数的分散稳定化控制律。

Decentralized Stabilizing Controller Design for a Class of Interconnected Systems with Delays

To a class of interconnected time-delay systems,a sufficient condition is derived for the decentral-ized stabilizability via a linear state feedback control law, by means of Lyapunov method. It is shown that this condition is equivalent to the existence of positive definitive symmetric matrix solutions to N parameter -dependent Riccati equations at the subsystems level. Also a construction for the decentralized stabilizing feed-back law is given in terms of the solutions to the Riccati equations. The given example illustrates that a de-centralized stabilizing control law with smaller feedback gains can be obtained in our technique.