具有通信约束的网络化系统动态输出反馈控制

Dynamic output feedback control of networked system with communication constraints

针对一类存在访问约束和时变时延的网络化控制系统,研究了其中的动态输出反馈控制器的设计问题.考虑到介质访问约束服从Markov分布和时变时延的上界小于一个采样周期的情况,将网络化控制系统建模为一类具有不确定性的离散时间Markov跳变系统.根据Lyapunov稳定性理论与状态增广方法,给出了闭环网络化控制系统渐近稳定的充分条件,并设计了动态输出反馈控制器,使得闭环系统渐近稳定.最后通过仿真验证了所提方法的有效性.

In this paper,the design of dynamic output feedback controller in networked control systems is studied for a class of networked control systems with access constraints and time-varying delays.Considering that the media access constraint obeys Markov distribution and the upper bound of time-varying delay is less than one sampling period,the networked control system should be built into a kind of uncertain time-discrete Markov jump system in modeling of the system.According to the Lyapunov stability theory and the state augmentation method,the sufficient conditions for the asymptotic stability of the closed-loop networked control system are therefore given,and a dynamic output feedback controller may be designed to make the closed-loop system asymptotically stable.Finally,a numerical example is provided to demonstrate the correctness and effectiveness of the proposed modeling method.