具有随机时延的网络控制系统周期反馈控制

针对一类具有随机时延的网络控制系统(NCSs)周期反馈控制问题,提出一个新颖的马尔可夫随机时滞系统模型.该模型包括一个分段常数广义采样保持函数(PCGSHF)以及一个用于描述网络诱导时延和数据包丢失的马尔可夫链.应用李亚普诺夫方法以及线性矩阵不等式技术得到了闭环 NCSs 随机稳定的充分条件,并给出了状态反馈控制器和 PCGSHF 的设计方法.最后,通过仿真算例验证了设计方法的有效性.

Periodic feedback control for networked control systems with stochastic#br#time-delay

For periodic feedback control problems of (NCSs) with stochastic time-delay, a novel Markovian stochastic time-delay system model is proposed. This model contains a piecewise constant generalized sampled-data hold function(PCGSHF)and a Markov chain, which is used to describe both the network-induced delay and packet dropouts. By using Lyapunovmethod and the linear matrix inequality(LMI) technique, the sufficient condition for ensuring the closed-loop NCSsstochastically stable is obtained. The design procedures of both the PCGSHF and the state feedback controller are alsoproposed . Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.