Research On Synchronization Control Of Discrete Complex Networks Based On PID Control

Recently,as the coming of information technology times,complex networks have been generally applied to a great many of practical systems such as cellular and metabolic networks,interconnected network and social networks,and more and more researchers have paid attention to them.Synchronization is an significant nonlinear behavior in complex networks,it has become a front-burner issue to study the synchronization of complex networks.However,in most cases,it is difficult for complex networks to achieve synchronization without the help of control,so it is particularly important to design an appropriate controller.The use of PID control technology has become the most frequently-used control algorithm in the engineering field because of the advantages of easy realization and strong adaptability.Therefore,it is a very practical significance to apply PID control to the complex network synchronization control problem.This thesis will focus on the synchronization control of two kinds of complex network systems based on PID control,which are profiled as follows:1.Under the network attack,for complex networks subject to output coupling,the problem of asymptotic synchronization control is investigated.Firstly,the output information is used to design the PID controller.Supposing that deceptions attacks and denial-of-service attacks may occur in the control channel,we use the random variables that follow Bernoulli distribution and are not related to each other to describe the two kinds of network attacks.Secondly,by using Lyapunov theory,a sufficient condition is given to make sure that the asymptotic synchronization of the complex network is realized,and satisfy strict (Q,S,R)-γ-dissipativity.Finally,an example of Chua’s circuit simulation is used to illustrate the rationality of the PID controller.2.For discrete time complex networks with multiple disturbances,the exponential synchronization control are deliberated.Firstly,the type of time delays is assumed to be probabilistic interval time-varying delays,and the randomness of the interval where the delay occurs is described by a random variable subject to Bernoulli distribution.A disturbance observer is devised to take stock of the disturbance in the output channel in order to curb the effect of multiple disturbances on the system,and H_∞control method is considered to degrade the effect of additional disturbances.A PID controller with compensation capability is designed and appropriate Lyapunov function is considered,a sufficient criterion is obtained to make the complex network and the target system exponential synchronization and meet the H_∞performance.Secondly,When the system state is difficult to gage,a state observer is used to take stock of the immeasurable state of the system,and a disturbance observer and a pinning PID controller are designed,a sufficient condition is derived to ensure that the mean square exponential stability of the synchronization error system is realized,and satisfy H_∞performance index.Finally,the significance of the designed disturbance observer and PID controller is tested by simulation examples.