基于状态反馈的随机时延网络H_2/H_∞混合控制

Mixed H-two/H-infinity control of state feedback networked control systems with delay

通过网络形成闭环的反馈控制系统称为网络控制系统,针对存在多步随机传输时延的网络化控制系统模型,研究了其随机稳定性及H2/H∞混合控制问题.将网络传输时延可以建模为一个马尔可夫随机过程,通过建立随机跳变Lyapunov函数,构建了满足系统随机稳定的H2/H∞混合控制状态反馈控制器,通过例子验证了所给出的H2/H∞混合控制器设计方法的可行性和有效性.

Feedback control systems wherein the control loops are closed through a real-time network are called networked control systems. Based on the mathematical model of networked control system with multi-step stochastic transmission delay, the problems of the stochastic stability and disturbance attenuation are discussed. It has been showed that the transmission delay can be viewed as a Markov process. H-two/H-infinity mixed control state feedback controllers are constructed using stochastic Lyapunov functions ,which preserves the stochastic stability of system. A simulation example shows the feasibility and effectiveness of the design procedures.