存在通信约束和时延的多输入多输出网络控制系统镇定研究

讨论了一类存在通信约束和时延的多输入多输出网络控制系统（NCS）的建模和控制问题.该NCS具有多个传感器和执行器，由于网络通信受限,在同一时刻只能允许部分传感器和执行器访问网络.传感器和执行器访问网络的过程可以用两个马尔可夫链来描述,并且在假设传感器—控制器时延和控制器—执行器时延均为短时延的情况下,将整个闭环NCS建模成一个具有两个模式的马尔可夫切换系统.基于LMI技术和李亚普诺夫方法,给出了闭环NCS随机稳定的充分条件,并给出了状态反馈控制器的设计方法.最后的数值算例验证了所提方法的有效性.

Stabilization of MIMO Networked Control Systems with Communication Constraints and Delays

The modeling and control problems for a class of multiple input and multiple output(MIMO) networked control systems with communication constraints and network-induced delays are presented in this paper.The concerned networked control system(NCS) with multiple sensors and actuators is subjected to communication constraints,and at each instant only some of the sensors and actuators are able to gain accesses to the networks.The processes in which the sensors and the actuators communicate with the networks are described as two Markov chains.Then,under the assumption that both the sensor-controller delay and the controller-actuator delay are shorter than one sampling period,the closed-loop NCS is finally modeled as a Markovian switching system with two switching modes.With the linear matrix inequality(LMI) technique and the Lyapunov method,the sufficient condition for stochastic stability is derived for the closed-loop NCS,and the design method is also presented for the state feedback controller.Finally,an example is given to illustrate the effectiveness of the proposed method.