Improved Delay-dependent Stability Criteria for Networked Control System with Two Additive Input Delays

2019 ◽  
Vol 17 (9) ◽  
pp. 2174-2182 ◽  
Author(s):  
Daixi Liao ◽  
Shouming Zhong ◽  
Jinnan Luo ◽  
Xiaojun Zhang ◽  
Yongbin Yu ◽  
...  
2013 ◽  
Vol 313-314 ◽  
pp. 565-570 ◽  
Author(s):  
Dian Ting Liu ◽  
Cui Zhang

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.


Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Hongqian Lu ◽  
Yue Hu ◽  
Chaoqun Guo ◽  
Wuneng Zhou

This note focuses on the stability and stabilization problem of nonlinear networked control system with time delay. To alleviate the burden of transformation channel and shorten the dynamic process simultaneously, an improved event-triggered scheme is proposed. This paper employs an improved time delay method to enhance the performance and reduce the delay upper bound conservatism. Less conservative stability criteria related to the order N are derived by establishing an augmented Lyapunov-Krasovskii functional manufactured for the use of Bessel-Legendre inequality. In addition, an event-triggered controller is designed for nonlinear networked control system with time delay. At last, numerical examples are proposed to verify the effectiveness of the new method.


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