Modeling and Delay-Dependent Stability Analysis of Multi-Sampling Rate MIMO Networked Control System with State Feedback

A kind of multi-sampling rate MIMO Multi-Input & Multi-Output) networked control system with state feedback in which the controller of each control loop is connected with the sensor and actuator by a network and each control loop has a different sampling period, is studied in this paper. At first its model is set up, and then this linear time-varying multi-sampling rate system is converted into a single high-dimensional linear time-invariant system by lifting technological method. Next the delay-dependent stability condition was deduced based on the Lyapunov stability criterion and the linear matrix inequality approach and the delay systems theory Finally, a given numerical example demonstrates the correctness and the effectiveness of the derivation method in this paper.