scholarly journals Switched Quantization Level Control of Networked Control Systems with Packet Dropouts

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Shuo Wang ◽  
Mei Yu ◽  
Hangfei Wang ◽  
Wen Tan

This paper investigates the relationship between the maximum allowable dropout bound and the quantization density. Networked Control System (NCS) is described as a time-delay switched system with constrained switching signals. A switched dynamic output feedback controller with prescribed disturbance attenuation level is designed via a cone complement linearization approach. A novel stability criterion is obtained by switched system theory. Furthermore, finding an appropriate quantization density used when packet dropout occurs is converted to an optimization problem.

Networked control system models with packet dropout in multi-packet transmission were established under hypothetical conditions in this paper, and the system was seen as a switched system. The causes of packet dropout in networked control system are analyzed in view of single-packet transmission and multi-packet transmission respectively. Based on Lyapunov stability theory, the property of the networked control system with multi-packet dropout was analyzed from the point of view of an asynchronous dynamic system. The method which determined the multi-packet dropout boundary to keep the system steady was given. The simulation results show the influences of multi-packet dropout on the system performance and prove the validity of the analytical method proposed in this paper.


2013 ◽  
Vol 703 ◽  
pp. 231-235
Author(s):  
Yang Gao ◽  
Wei Zhao

It is well known that stability of information transmission is very important. In this paper, we study the stability of Networked control systems. Networked control problem(NCSs) have received plentiful attention in recent two decades. A lot of researcher study the stability for NCSs. In this paper, we consider a class of interval linear system’s networked control problem with time delays and packet dropout. A stability result is obtained with the discrete-time method which is based on the Information Science.


2018 ◽  
Vol 40 (14) ◽  
pp. 3923-3932 ◽  
Author(s):  
Ling Huang ◽  
Min Sun

This paper studies the improved analysis and H∞ control for a class of networked control systems with time-varying delays and packet dropout via a quadratic convex combination approach. The newly proposed augmented Lyapunov–Krasovskii functional is constructed by using the quadratic terms multiplied by a third-degree scalar function. A sufficient condition for asymptotic stability of networked control system is derived in terms of linear matrix inequalities. The H∞ state feedback controller is obtained with an iteration algorithm. Differently from previous results, our derivation applies the idea of a second-order convex combination and the estimation of cross items. This method gives a reduced conservatism without using Jensen’s inequality. Numerical examples show the validity and feasibility of the proposed theoretical results.


2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Yilin Wang ◽  
Hamid Reza Karimi ◽  
Zhengrong Xiang

This paper is concerned with the control issue for a class of networked control systems (NCSs) with packet dropouts and time-varying delays. Firstly, the addressed NCS is modeled as a Markovian discrete-time switched system with two subsystems; by using the average dwell time method, a sufficient condition is obtained for the mean square exponential stability of the closed-loop NCS with a desired disturbance attenuation level. Then, the desired controller is obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.


2012 ◽  
Vol 490-495 ◽  
pp. 1039-1043 ◽  
Author(s):  
Li Zhen Wu ◽  
Xiao Hong Hao

This paper studies the H∞ control problem of networked control systems (NCSs) with random time delay and packet dropout, respectively, for the case that system state is unavailable. The output feedback closed-loop NCS is modeled as a discrete-time switched system. A necessary and sufficient condition is derived for the NCSs ' asymptotic stability based on robust stability techniques, under which the system is exponential stability with a desired H-infinity disturbance attenuation level. The designed output feedback based H∞ controller is obtained by solving a set of linear matrix inequalities. The result illustrate that the effectiveness of the proposed control design and the satisfactory performance of the system.


2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Jufeng Wang ◽  
Chunfeng Liu ◽  
Kai Li

This paper studies theH-infinity stochastic control problem for a class of networked control systems (NCSs) with time delays and packet dropouts. The state feedback closed-loop NCS is modeled as a Markovian jump linear system. Through using a Lyapunov function, a sufficient condition is obtained, under which the system is stochastically exponential stability with a desiredH-infinity disturbance attenuation level. The designedH-infinity controller is obtained by solving a set of linear matrix inequalities with some inversion constraints. An numerical example is presented to demonstrate the effectiveness of the proposed method.


2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yilin Wang ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi

This paper is concerned with the problem of designing a robust observer-based controller for discrete-time networked systems with limited information. An improved networked control system model is proposed and the effects of random packet dropout, time-varying delay, and quantization are considered simultaneously. Based on the obtained model, a stability criterion is developed by constructing an appropriate Lyapunov-Krasovskii functional and sufficient conditions for the existence of a dynamic quantized output feedback controller which are given in terms of linear matrix inequalities (LMIs) such that the augmented error system is stochastically stable with an performance level. An example is presented to illustrate the effectiveness of the proposed method.


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