改进的时延丢包网络控制系统的分析和控制

摘要

将网络控制系统建模为时变时滞系统模型，考虑有界、时变时延和丢包的网络控制系统的稳定性分析和控制器设计问题。首先构造一个新的分段Lyapunov-Krasovskii泛函，充分利用时延上下界信息，然后结合更紧的有限和不等式处理时滞区间，得到具有较小保守性的稳定性准则，基于一种改进的锥补线性化迭代算法给出状态反馈器设计方法，证明中没有引进模型变换和自由矩阵，减少了计算上的复杂性。通过实例表明上述方法的有效性。%This paper is concerned with the problem of the stability analysis and controller design for networked control systems(NCSs)with bounded, time-varying network delays and data dropout by modeling the time-varying delay systems. Construct a new Lyapunov-Krasovskii functional and make full use of the information on the upper and lower bounds of the delay. A tighter finite sum inequality is presented to deal with delay interval. A less conservative stability criteria is derived. The state feedback controller design is obtained with an improved cone complementarity linearization algorithm. Since neither model transformation nor free-weighting matrices is employed in the derivation of these results, the proposed approach will reduce calculation. Numerical examples are given to illustract the effectiveness of the proposed method.