基于观测器的时延网络控制系统镇定

Stabilization for Networked Control Systems with Time-delay Based on Observer

研究了具有时延的网络控制系统的镇定控制器设计问题。首先,用2个独立的Markov链分别描述传感器至控制器时延及控制器至执行器时延,构造了状态观测器并建立了闭环系统模型。然后,在传感器至控制器时延及控制器至执行器时延的转移概率均部分未知的情况下,得到了镇定控制器存在的充要条件,并给出了控制器及观测器增益矩阵的求解方法。最后,通过实例仿真验证了不稳定被控对象在这所设计的控制器作用下可以实现镇定。

This paper investigates the stabilization problem for the networked control systems with time delay. First, the time-delay from sensor to controller and time-delay from sensor to actuator are both considered which are modeled as two independent Markov chains. The state observer is constructed and the closed-loop system model is obtained. Next, the sufficient and necessary conditions for the existence of the stabilizing controller are established under the circumstance that the time-delay transition probabilities are partly unknown, and the method of calculating the controller and observer gain matrices is also given. Finally, a simulation example is used to show that stabilization can be achieved for the unstable controlled plant under the designed controller.