Research On Containment Control Of Fractional-Order Multi-Agent Systems Via Intermittent Communication

The collaborative control of multi-agent systems is a very cutting-edge research topic.With the development of artificial intelligence and communication technology,Its theory has increasingly broad application prospects in the engineering field,and the research on group behavior in the biological field has also been deeply researched.It is becoming the key cutting-edge technology of the times,attracting more and more researchers' attention.Integer-order calculus is a classic modeling tool that has been widely used.However,in many practical engineering applications and natural phenomena,many systems cannot be modeled by classical integer-order calculus,whereas fractional-order calculus can be used for modeling in those situations,which can reflect its system characteristics scientifically.Therefore,more and more researchers have been devoting themselves to the research of collaborative control of fractional-order multi-agent systems.On the other hand,the increasingly complex tasks put forward higher requirements on the software and hardware of communication and control technologies.In many cases,due to the limitations of software and hardware and the interference of uncertain environments,continuous communication between agents cannot be maintained.The high-frequency update of the controller can also easily cause equipment damages and increase the possibility of system collapse.Furthermore,the execution of some complicated work cannot be accomplished by a multi-agent system with only one leader,while a multi-agent system with multiple leaders can perform excellently and complete multiple tasks efficiently.Therefore,this paper takes the fractional-order multi-agent system as the research object to explore the containment control problem in practical applications.The specific research content is as follows:The containment control problem of fractional-order multi-agent systems based on periodic intermittent sampling without time delay is investigated.There is no communication delay among agents,and the purpose is to make the follower converge to the convex hull formed by the leaders.A control strategy based on intermittent periodic sampling is proposed.The strategy uses data sampled by the agent periodically,but during each period,the controller only works for the first part the period,and there is no control input in a later period of time.Using matrix theory,algebraic graph theory,fractional calculus theory,Mittag-Leffler function and other theoretical knowledge,the sufficient conditions for the realization of the containment control of the fractional multi-agent system based on the control protocol are obtained,and the relations among the sampling period?the coupling strengths,the network topology? the fractional order and the communication width are deduced.The containment control problem of delayed fractional-order multi-agent system based on periodic intermittent sampling is studied.There is communication delay among agents,and the purpose is to make the followers converge to the convex hull formed by the leaders.According to the relationship among sampling period,intermittent time interval,and time delay,the convergence conditions of fractional multi-agents are deduced in different cases.Using the knowledge of matrix theory,algebraic graph theory,fractional-order calculus,and Mittag-Leffler function,the sufficient conditions for the realization of containment control of the fractional multi-agent system are obtained,and the relations among the sampling period?the coupling strengths,the network topology?the time delay?the fractional order and the communication width are deduced.