具有随机长时延的网络控制系统保性能控制

Guaranteed cost control for networked control systems with random long time-delay

中文关键词  网络控制系统  随机长时延  随机稳定  马尔可夫随机时滞系统  保性能控制

英文关键词  networked control systems  random long time-delay  stochastic stability  Markovian stochastic time-delay system  guaranteed cost control

中文摘要

      本文研究了一类具有随机长时延离散时间网络控制系统(NCSs)的建模和保性能控制问题. 用两个马尔可夫链分别来描述反馈通道和前向通道的网络诱导时延, 基于采用现有最新数据的原则, 将闭环NCS建模成一个与当前时刻和过去时刻网络诱导时延有关的马尔可夫随机时滞系统. 应用线性矩阵不等式技术和李亚普诺夫方法得到了闭环NCS随机稳定且具有二次性能指标上界的充分条件, 并给出了状态反馈保性能控制器的设计方法. 最后, 通过数值算例验证了本文方法的有效性.

英文摘要

      This paper is concerned with the modeling and the guaranteed cost control for a class of discrete-time networked control systems(NCSs) with a random long time-delay. The network-induced time-delay in the forward and the feedback channels are modeled as two Markov chains, respectively. By using the most recent available data, we model the closed-loop NCS as a Markovian stochastic time-delay system which depends on the network-induced time-delay at the present and past instants. By Lyapunov method and the linear matrix inequality(LMI) technique, we derive the sufficient conditions for the closed-loop NCS to be stochastically stable with a quadratic performance upper bound. A design procedure is also presented for the state-feedback guaranteed cost controller. An illustrative example is given to demonstrate the effectiveness of the proposed method.