Research on Stability of Networked Control System with Uncertain Time-Varying Delays

2011 ◽  
Vol 383-390 ◽  
pp. 2138-2144
Author(s):  
Wei Hao Ma ◽  
Chao Yong Jin
Keyword(s):  
Control System ◽  
Sampling Period ◽  
Networked Control System ◽  
Networked Control ◽  
Sufficient Condition ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Time Varying Delay ◽  
Uncertain Time ◽  
Varying Delay

This note deals with the problem of stability for networked control system (NCS) with uncertain time-varying delay that is less than on sampling period. A new stability scheme was proposed. Using an Lyapunov function, less conservative stability sufficient condition was derived for such system based on liner matrix inequalities (LMs). Finally a numerical example shows the superiority of the method in this paper.

scholarly journals Output-Feedback Controller Design of a Wireless Networked Control System with Packet Loss and Time Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Zhen Hong ◽  
JinFeng Gao ◽  
Ning Wang
Keyword(s):  
Control System ◽  
Closed Loop ◽  
Controller Design ◽  
Sampling Period ◽  
Networked Control System ◽  
Network Control ◽  
Packet Dropout ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

This paper investigates the problem of modeling and stabilization of a wireless network control system (NCS) with both time-varying delay and packet-dropout. And the time-varying delay can be more or less than one sampling period. The wireless NCS is modeled as an asynchronous dynamic system (ADS) with three subsystems. Sufficient condition of the closed-loop NCS to be stable is obtained by using the ADS approach. A numerical example is presented to demonstrate the effectiveness of the proposed result.

Output Feedback Stabilization of Networked Control Systems with Time-Varying Delay

2013 ◽  
Vol 718-720 ◽  
pp. 1836-1841
Author(s):  
Xue Feng Zhang ◽  
Yan Xia Shen ◽  
Hua Ping Zhang
Keyword(s):  
Control Systems ◽  
Output Feedback ◽  
Networked Control Systems ◽  
Networked Control System ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Output Feedback Stabilization ◽  
Varying Delay

The problem of output feedback stabilization for networked control system with time-varying delay is discussed. By constructing a novel LyapunovKrasovskii functional,the output feedback controller is obtained in terms of LMIs. The dynamics information of the time-varying delay is taken into account in the structured controller, and the obtained result is less conservative. A numerical example is given to illustrate the effectiveness of the presented method.

scholarly journals Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Hongqian Lu ◽  
Chaoqun Guo ◽  
Yue Hu ◽  
Wuneng Zhou
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Networked Control System ◽  
Time Varying ◽  
Actuator Faults ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
The Stability ◽  
Varying Delay ◽  
Event Triggered

This paper discusses the stability of semi-Markovian jump networked control system containing time-varying delay and actuator faults. The system dynamic is optimized while the network resource is saved by introducing an improved static event-triggered mechanism. For deriving a less conservative stability criterion, the Bessel–Legendre inequalities approach is employed to the stability analysis and plays a major role. By constructing the enhanced Lyapunov–Krasovskii functional (LKF) relevant to the Legendre polynomials, a stability criterion with lower conservativeness indexed by N is derived, and the conservativeness will decrease as N increases. In addition, a controller is designed. To prove the validity of this paper, numerical examples are provided at the last.

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