scholarly journals New Stability Criteria for Event-Triggered Nonlinear Networked Control System with Time Delay

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.

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Zhongda Lu ◽  
Lijing Wang ◽  
Fengbin Zhang ◽  
Fengxia Xu

This paper considers the stability andH∞control problem of networked control systems with time delay. Taking into account the influence of network with delay, unknown input disturbance, and uncertainties of the system modeling, meanwhile we establish a precise, closed-loop model for networked control systems with time delay. By selecting a proper Lyapunov-Krasovskii function and using Lyapunov theorem, a sufficient condition for stability of the system in the form of LMI is demonstrated, corresponding controller parameters are acquired, and the convergence of the control algorithm is proved. The simulation example shows that the construction of the network robust control system with time delay indeed improves the stability performance of the system, which indicates the effectiveness of the design.


Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Hongqian Lu ◽  
Chaoqun Guo ◽  
Yue Hu ◽  
Wuneng Zhou ◽  
Shihao Yan

The stability problem of networked control system (NCS) with cyberattacks and processing delay is considered under an event-triggered scheme. An improved distributed event-triggered mechanism is proposed, which optimizes the performance of system dynamics and decreases the network transmission load simultaneously. By means of Bessel–Legendre inequality method and constructing an active Lyapunov–Krasovskii functional, a series of larger upper bounds of delay are obtained corresponding to the order of N. It is worth mentioning that the upper bound increases with N, which means that the conservatism of the stability criterion lowers. Finally, a distributed event-triggered controller is designed. The validity of the results is verified by numerical examples.


IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 2513-2523 ◽  
Author(s):  
Yanfeng Wang ◽  
Ping He ◽  
Heng Li ◽  
Xiaoyue Sun ◽  
Wei Wei ◽  
...  

2014 ◽  
Vol 556-562 ◽  
pp. 5400-5403
Author(s):  
Lan Liu ◽  
Xun He Yin

For Networked Control System (NCS) with random network-induced delay and packet loss, an observer is designed to reconstruct the states using output values. A piece-wise time-delay strategy and the timestamp technique are used, improving the system performance. Depending on whether data dropout occurs or not, system is modeled as an Asynchronous Dynamical System (ADS), and theorem guaranteeing the system closed-loop stability is also given. Based on Lyapunov and Linear Matrix Inequality (LMI), controller gain and observer gain are solved and TrueTime toolbox is used to verify the effectiveness of the algorithm.


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