短时延网络控制系统的建模与H∞鲁棒控制

Modeling and H_∞ robust control for networked control systems with short time-delay

为了能够正确而又方便的分析研究系统的性能、设计反馈控制律和实现计算机仿真,研究了具有不确定短时延网络控制系统建模和H∞鲁棒控制问题。考虑传感器时钟驱动,控制器、执行器事件驱动,不大于一个采样周期和有限能量的外部扰动,针对具有不确定短时延和控制约束的网络控制系统(networked control systems,NCS)建立为离散时变的不确定系统模型,通过构造适当的Lyapunov函数,利用线性矩阵不等式(linear matrix inequalities,LMI)的方法,给出了闭环NCS渐近稳定且满足给定H∞性能指标的充分条件。通过Matlab数值仿真算例验证了该方法的有效性和正确性。

To analyse the system performance, design the feedback control law and realize computer simulation exactly and easily, the problem on modeling and Ha robust control for networked control systems with short time-delay is researched. Consider- ing the clock-driven sensors, event-driven controllers and actuators, less than a sampling period and limited external disturbance, for NCS with uncertain short time-delay and control constraints, a uncertain discrete time-variate system model is established. A sufficient condition for NCS which is subject to the asymptotic stability and H∞ performance is derived by constructing approp- riate Lyapunov function and using linear matrix inequalities. Finally, simulation results of an example with MATLAB show the effectiveness and correctness of the proposed method.