The invention relates to a positive
consistency control method for a multi-time-
delay multi-agent
system under a switching topology, which comprises the following steps of: firstly, establishing a
mathematical model of the multi-time-
delay multi-agent
system under the switching topology, and quantitatively expressing state, input, time-varying time-
delay, distribution time-delay and other signals of the multi-agent
system; designing a distributed
consistency control protocol by using the relative state information of the
intelligent agent, giving an
analytic expression of the
consistency control protocol to obtain a corresponding closed-
loop control system expression, and obtaining a sufficient and necessary condition that the state of the closed-
loop control system is always positive according to a positive system
control theory; finally, the multi-agent system is controlled according to the consistency control protocol, and consistency is achieved while the state of the obtained closed-
loop control system is kept to be positive. According to the invention, the positive maintenance technology is introduced into positive consistency control, and the topology dependence average
residence time method is introduced into the design of the
switching signal, so that the multi-time-
lag influence of the system is eliminated, and the positive maintenance and consistency control targets of the system state are realized.