Finite-horizon H_? Consensus Control For Multi-Agent Systems Based On Communication Protocols

In recent years,with the rapid development of artificial intelligence,the consensus performance of multi-agent systems has attracted widespread attention.The multi-agent systems are a large and complex system consisting of multiple independent agents.There are many types of agents in the multi-agent systems,and if these individuals enable independent thinking with information interaction,every individual can be called an agent.The consensus of multi-agent systems means that the state of all agents tends to be consistent over time.Under the actual production,in terms of speed and time,multi-agent systems are often required to achieve consensus as fast as possible,which needs multi-agent systems to achieve consensus in finite-horizon.When information is transmitted between agents,the complexity of network factors is likely to cause a variety of network-induced phenomena.The use of communication protocols can weaken the influence of network-induced phenomena,such as avoiding conflicts between signals and saving limited network resources.In this paper,we study the H_? consensus control problem in a finite-horizon for several types of multi-agent systems under the constraints of three different communication protocols.The specific work is as follows:The H_? consensus control problem for a class of discrete multi-agent systems constrained by the round-robin(RR)protocol is studied.The RR protocol is employed to prevent data collisions,so that only one agent is allowed to send its measurement data at each transmission step.Missing measurements phenomenon is described by a sequence of Bernoulli distribution random variables with known probabilities.The time-varying controller is designed to ensure that the closed-loop multi-agent systems satisfy the H_? consensus performance requirement in the presence of missing measurements.On this basis,sufficient conditions for the closed-loop systems to satisfy the H_? consensus performance are obtained by using stochastic analysis methods.The conditions are given in the form of coupled backward recursive Riccati difference equations,and the design method of the controller parameters is obtained.Finally,an example is given to illustrate the effectiveness of the proposed controller design.The finite-horizon H_? consensus control problem for discrete time-varying uncertain multi-agent systems affected by the stochastic communication protocol(SCP)is studied.The SCP is described by a set of random variables with a known probability to arrange signal transmission of addressed multi-agent systems.At the same time,the systems are also affected by satisfying norm bounded uncertain parameters.By designing an output feedback controller,the multi-agent system is finally achieved consensus performance.In addition,by solving the backward recursive Riccati difference equations as well as combining the completing squares approach and the stochastic analysis technique,a sufficient condition can ensure that the designed controller is feasible.Besides,the design method of the controller parameters is obtained.Finally,the numerical simulation example illustrates the effectiveness of the designed controller and scheme.The discrete time-varying multi-agent systems with redundant channels and weighted try-once-discard(WTOD)protocol are studied,and the H_? consensus control problem of such systems in finite-horizon is considered.The multi-agent systems consider both the redundant channel and the WTOD protocol to better reflect the network communication environment.The redundant channel model considered can make the information transmission of the agent better than the traditional single channel information transmission.In order to save network resources,the WTOD protocol is adopted.By designing a non-fragile output feedback controller in finite-horizon,and based on solving the inverse recursive Riccati difference equations,sufficient conditions are obtained to ensure that the systems satisfy H_? consensus performance,and the controller parameters are obtained to make the system consensus.Finally,an example is used to further verify the effectiveness of the designed control protocol.