Modelling and delay-independent stability analysis of multi-sampling rate MIMO networked control system with state feedback

A kind of Multi-Input & Multi-Output control system with state feedback in which the controller of each control loop is connected with the sensor and actuator by a network and the sampling period of each control loop is different, is analyzed in this paper. The structure and mathematical model of this multi-sampling rate MIMO networked control system with state feedback is given. After it is transformed into a single high-dimensional linear time-invariant system by lifting technological method, its delay-independent stability condition is deduced based on Yaupon stability criterion and the linear matrix inequality method and time-delay system theory. Finally, a given numerical example demonstrates the correctness and feasibility of the derived method in this paper.