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

2012 ◽  
Author(s):  
Liu Dian ting ◽  
Zhang cui
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
State Feedback ◽  
Sampling Rate ◽  
Networked Control System ◽  
Networked Control

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

2013 ◽  
Vol 313-314 ◽  
pp. 565-570 ◽  
Author(s):  
Dian Ting Liu ◽  
Cui Zhang
Keyword(s):  
Control System ◽  
State Feedback ◽  
Linear Time ◽  
Sampling Rate ◽  
Networked Control System ◽  
Networked Control ◽  
Delay Systems ◽  
Control Loop ◽  
Delay Dependent ◽  
Delay Dependent Stability

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.

A Study on a Class of Double-Loop Networked Control System with Differential Sampling Rate and State Feedback

2013 ◽  
Vol 816-817 ◽  
pp. 335-338
Author(s):  
Dian Ting Liu ◽  
Cheng He Liang ◽  
Xiao Xiong Chen
Keyword(s):  
Control System ◽  
State Feedback ◽  
Inverted Pendulum ◽  
Design Method ◽  
Sampling Rate ◽  
Networked Control System ◽  
Networked Control ◽  
Stability Conditions ◽  
Double Loop ◽  
Set Up

For a class of double-loop networked control system with differential sampling periods is studied in this paper. Its mathematical model is set up based on time-delay theory, and its stability conditions are obtained based on Lyapunov-Krasovskii functional and free-weighting matrices approach. On this basis, the design method of the controller to stabilize this networked control system with state feedback is explained. Finally, an example of the inverted pendulum is presented to test the validity and effectiveness of the methods proposed in this paper.

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