有界丢包网络控制系统的稳定性与能稳性

主要讨论有界丢包网络控制系统的稳定性与能稳性. 基于迭代方法将有界丢包网络控制系统建模为一个跳变系统. 由于网络的复杂性, 跳变系统状态转移矩阵的部分元素无法获得, 因此, 我们考虑的这种情况更具有一般性. 并且本文考虑的丢包同时存在于前馈和反馈通道. 最后, 数值例子表明本文方法的有效性.

Stability and Stabilization of Networked Control Systems with Bounded Packet Dropout

In this paper, the stability and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. An iterative approach is proposed to model the NCSs with bounded packet dropout as Markovian jump linear systems (MJLSs). The transition probabilities of MJLSs are partly unknown due to the complexity of network. The system under consideration is more general, which covers the systems with completely known and completely unknown transition probabilities as two spacial cases. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, two illustrative examples are given to demonstrate the effectiveness of the proposed results.