Stochastic Disturbance Control For Networked Hybrid Systems

In many systems of reality,the random phenomenon is widely existed,in which the random disturbance is inevitable in the practical engineering industry,such as humidity,wind speed and temperature in the air.Therefore,in order to describe the dynamic characteristics of the real system more accurately,a more suitable control law is designed,and when the system is modeled,we need to take fully into account the continuity of time and the control of the random factors,and the system can finally reach a stable state.In this paper,the problem of stochastic disturbance control for multi-agent systems with continuous time is studied.The main work is as follows:1.This paper studies the consensus analysis of complex dynamical network systems with random sampling control under undirected topology.Firstly,a complex dynamic network system with random sampling control in continuous time is proposed.Secondly,the sampling information is used to connect the nodes in the system,that is,the stochastic term contains sampling information and nonlinear function,and the nonlinear function is assumed to satisfy the general Lipschitz condition.Thirdly,in order to make the network system stable,the output of all nodes at sampling time is used to estimate the error,and then the system consensus at sampling time is achieved by means of input state stability property,Lyapunov function,graph theory and matrix inequality.Finally,an example is given to illustrate the validity of the conclusion.2.We study the distributed coordination control problem of multi-agent systems(MASs)with second-order nonlinear dynamics connected to nodes by noise.Firstly,a new connection method of MASs is proposed,which uses noise as the connection between nodes.Secondly,we apply this new way of connection to MAS by using stochastic differential equation to form stochastic control of multi-agent.Thirdly,in the network structure,we use local information to propose a distributed coordination adaptive scheme,that is,each node of communication is assigned time-varying coupling weight by the vector adaptive protocol.The coupling gain can achieve consensus under the protocol of stochastic second-order MAS.In the process,we discuss the leaderless case and leader-follower case of MAS,which can achieve consensus in stochastic control gain with noise-connected nodes.Finally,Matlab simulation will verify the validity of the demonstration process.3.The stability of stochastic nonlinear complex systems with mixed noise and its application in practical engineering are considered.Firstly,we propose stochastic differential equations for nonlinear complex systems with Brownian motion and non-Brownian motion.Secondly,we prove the existence and uniqueness of solutions of stochastic differential equations of the system.Then,due to the existence of solutions of the equation,under certain assumptions,we use the knowledge of convex functions to obtain the condition for the asymptotic stability of the system equation.Finally,the application in practical engineering and numerical simulation are given to verify the validity of the conclusions.