State estimation and stabilisation of nonlinear networked control systems with mixed time-delay

2020 ◽  
pp. 1-19
Author(s):  
Bo Zhang ◽  
Xiaoyu Su
Keyword(s):  
Time Delay ◽  
State Estimation ◽  
Control Systems ◽  
Networked Control Systems ◽  
Networked Control ◽  
Nonlinear Networked Control Systems

scholarly journals Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Yanfeng Wang ◽  
Peiliang Wang ◽  
Zuxin Li ◽  
Huiying Chen
Keyword(s):  
Time Delay ◽  
Markov Chains ◽  
Control Systems ◽  
Time Delays ◽  
Controller Design ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Networked Control ◽  
Random Time ◽  
Nonlinear Networked Control Systems

This paper investigates the observer-based controller design problem for a class of nonlinear networked control systems with random time-delays. The nonlinearity is assumed to satisfy a global Lipschitz condition and two dependent Markov chains are employed to describe the time-delay from sensor to controller (S-C delay) and the time-delay from controller to actuator (C-A delay), respectively. The transition probabilities of S-C delay and C-A delay are both assumed to be partly inaccessible. Sufficient conditions on the stochastic stability for the closed-loop systems are obtained by constructing proper Lyapunov functional. The methods of calculating the controller and the observer gain matrix are also given. Two numerical examples are used to illustrate the effectiveness of the proposed method.

scholarly journals Design for Nonlinear Networked Control Systems with Time Delay Governed by Markov Chain with Partly Unknown Transition Probabilities

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Yan-Feng Wang ◽  
Zu-Xin Li ◽  
Hui-Ying Chen ◽  
Li-Di Quan ◽  
Xiao-Rui Guo
Keyword(s):  
Markov Chain ◽  
Time Delay ◽  
Control Systems ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Loop System ◽  
Networked Control ◽  
Closed Loop System ◽  
Nonlinear Networked Control Systems

The problem of state feedback control for a class of nonlinear networked control systems with time delay is discussed in this paper. The time delay is modeled as a finite state Markov chain of which transition probabilities are partly unknown. The closed-loop system model is obtained by means of state augmentation. A sufficient condition is given which guarantees the stochastic stability of the closed-loop system in the form of linear matrix inequalities and the maximum bound of the nonlinearity is also obtained. Finally, a simulation example is used to show the validity of the proposed method.

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