Stability Analysis For A Class Of Linear Networked Control Systemes With Quantizer

In recent years,with the increasing scale of modern industry,the traditional point-to-point control mode can hardly meet the growing requirements of complicated system control process.Therefore networked control systems have been widely used with its unique advantages such as high reliability,ease of development and maintenance,and management and control integration.But the network is influenced by its own limits including the network induced delay,data-packet dropout,timing disorder and other issues,which will inevitably affect the stability of the system.Moreover the stability will also be affected to some extent when different types of quantizers are introduced to the networked control systems to realize signal quantization.This paper aims to study and analyze the the stability of the networked control systems from the following aspects:(1)The analysis of linear networked control systems in the presence of network induced delays.Firstly,when the Lyapunov-Krasovskii functional is constructed,taking the information of which the first order derivative of network delay is 1into full consideration.And then,the methods of Jensen inequality and Wirtinger inequality are used to deal with the integral term of the functional.At last,the stability criteria of the system are given,and the effectiveness of the given stability criteria is illustrated by numerical examples.And compared with the current research results,it illustrates that the given stability criteria in this paper have less conservative.(2)Analysis of the system stability with the introducing of logarithmic quantizers.In the actual system signal transmission process,with the limitation of the communication bandwidth,the system's status signal and control signal should be quantified,but the introduction of the quantizer will affect the system stability.Therefore in order to more intuitively analyze the effect of logarithmic quantizers on the stability of networked control systems,this part applies the same functional as the first part.And the method of sector is used to define the quantization error.And taking into account the effect of the uncertain factors on the system stability under the actual system environment,the system model is established to analyze the system model with uncertain parameters.At last,the stability criteria with logarithmic quantizers are given,and by comparing the numerical example simulation result with the situation without introducing logarithmic quantizer,this paper aims to explain the effect oflogarithmic quantizers on system stability.Besides,in comparison with the present literature,the stability criteria in this paper have less conservation.(3)Analysis of the system stability with the introducing of dynamic quantizers.Considering the time-varying characteristics of the system signals,the time-varying dynamic quantizers are introduced to quantize the signals.The stability criteria of the system are obtained by structuring and dealing with the functional.According to the simulation results of the numerical example,the author has compared the different effects of the introduction of quantizers on the system stability.Moreover in comparison with the existing literature,the stability criteria have been improved to some extent and have less conservation...