Stability of a networked control system using linear matrix inequalities

2003 ◽  
Author(s):  
M. Garcia ◽  
A. Barreiro
Keyword(s):  
Control System ◽  
Linear Matrix Inequalities ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Matrix Inequalities

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 Stability Analysis of Networked Control System Using LMI Approach

2018 ◽  
Vol 7 (2.31) ◽  
pp. 249
Author(s):  
Richa Sharma ◽  
Deepak Nagaria
Keyword(s):  
Communication Network ◽  
Control System ◽  
Closed Loop ◽  
Sampling Period ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Matlab Simulation ◽  
Closed Loop System ◽  
The Stability

Networked control system is a closed loop system in which information or data travel through the communication network. The presence of communication network will increase time delay and information losses. Due to these losses and delay the performance of the system decreases. This paper represents an analysis to find the stability of the networked control system with the varying time hindrances present in the network. In this research, it has been assumed that the delay in time is less than the sampling period. The stability conditions for NCS have been procured with the use of the Lyapunov function approach and has been described in terms of LMI(Linear Matrix Inequality).This examination confirm the adequate state of stability through MATLAB simulation and the numerical case demonstrates the outcome.  

scholarly journals Fault-tolerant control system for the formation of carbon products

2021 ◽  
pp. 22-29
Author(s):  
Liudmyla Zhuchenko
Keyword(s):  
Control System ◽  
Linear Matrix Inequalities ◽  
Control Method ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Iterative Learning ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Unknown Disturbances ◽  
Cyclic Processes

The production of carbon products is largely resource- and energy-intensive. That is why increasing the efficiency of this production is an urgent scientific and practical task, especially in modern conditions of constant growth of energy costs. An effective way to solve this problem is to create a modern process control system, taking into account possible failures of system components. A method for the synthesis of a fault-tolerant control system for the cyclic formation of carbon products has been developed, which takes into account control errors that are caused by malfunctions of controllers under conditions of unknown disturbances. According to the cyclic nature of the technological process under consideration, a control method with iterative learning was used in the synthesis of the control system. This method considers cyclic processes based on a two-dimensional model (2D model). The proposed control algorithm ensures the convergence of the control process with the task both in time and in each work cycle in order to promote the required quality of control even in the event of unknown disturbances and errors in the performance of controllers. The synthesis of the control system is based on the solution of a system of linear matrix inequalities. Based on the combination of a control method with iterative learning and a control method that takes into account failures in controllers, a method of constructing a fault-tolerant control system for the cyclic formation of carbon products has been synthesized to ensure acceptable operation of the control object in abnormal conditions. The control system has been synthesized by solving a system of linear matrix inequalities with the MATLAB software. In the future, it is necessary to consider optimal settings of the proposed control system and examine its effectiveness in comparison with conventional fault-tolerant systems for non-cyclic processes.

Design of Networked Control System with Time-Delay and Packet Loss

2014 ◽  
Vol 556-562 ◽  
pp. 5400-5403
Author(s):  
Lan Liu ◽  
Xun He Yin
Keyword(s):  
Control System ◽  
Time Delay ◽  
Packet Loss ◽  
Closed Loop ◽  
Random Network ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Controller Gain ◽  
System With Time Delay

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.

Robust H∞ Filtering for Stochastic Networked Control System with Nonlinearities and Missing Measurements

2012 ◽  
Vol 503-504 ◽  
pp. 1458-1462
Author(s):  
Jun Cheng ◽  
Hong Zhu ◽  
Yu Ping Zhang ◽  
Yong Zeng
Keyword(s):  
Control System ◽  
Sufficient Conditions ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Missing Measurements ◽  
Exponentially Stable ◽  
Inequality Technique ◽  
Error System ◽  
Linear Matrix Inequality Technique

This paper investigate the problem of Robust H∞ filtering for stochastic networked control system with nonlinearities and missing measurements. In this paper, missing measurements and nonlinearities are considered. The sufficient conditions for the existence of the filter are given, thus, guaranteeing the filter error system exponentially stable in the mean-square sense and the performance satisfies a prescribed level by employing the new Lyapunov-Krasovskii functional and linear matrix inequality technique, some new sufficient conditions are obtained.

scholarly journals Robust Fault-Tolerant Tracking Control for Nonlinear Networked Control System: Asynchronous Switched Polytopic Approach

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Chaoyang Dong ◽  
Aojia Ma ◽  
Qing Wang ◽  
Zhaolei Wang
Keyword(s):  
Control System ◽  
Control Problem ◽  
Tracking Control ◽  
Fault Tolerant ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Switching Law ◽  
Tracking Controllers ◽  
Parameter Dependent

This paper is concerned with the robust fault-tolerant tracking control problem for networked control system (NCS). Firstly, considering the locally overlapped switching law widely existed in engineering applications, the NCS is modeled as a locally overlapped switched polytopic system to reduce designing conservatism and solving complexity. Then, switched parameter dependent fault-tolerant tracking controllers are constructed to deal with the asynchronous switching phenomenon caused by the updating delays of the switching signals and weighted coefficients. Additionally, the global uniform asymptotic stability in the mean (GUAS-M) and desired weightedl2performance are guaranteed by combining the switched parameter dependent Lyapunov functional method with the average dwell time (ADT) method, and the feasible conditions for the fault-tolerant tracking controllers are obtained in the form of linear matrix inequalities (LMIs). Finally, the performance of the proposed approach is verified on a highly maneuverable technology (HiMAT) vehicle’s tracking control problem. Simulation results show the effectiveness of the proposed method.

scholarly journals Observer-Based Feedback Stabilization of Networked Control Systems with Random Packet Dropouts

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Pengpeng Chen ◽  
Shouwan Gao
Keyword(s):  
Control Systems ◽  
Linear Matrix Inequalities ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Packet Dropouts ◽  
Binary Distribution

This paper is concerned with observer-based feedback stabilization of networked control systems (NCSs) with random packet dropouts. Both sensor-to-controller (S/C) and controller-to-actuator (C/A) packet dropouts are considered, and their behavior is assumed to obey the Bernoulli random binary distribution. The hold-input strategy is adopted, in which the previous packet is used if the packet is lost. An observer-based feedback controller is designed, and sufficient conditions for stochastic stability are derived in the form of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the results.

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