Control For Multi-agent Systems With Distributed Parameter Models

Distributed parameter multi-agent system refers to a collection of multiple agent subsystems with distributed parameter properties.Actual physical systems all have certain distributed parameter properties,and their status changes continuously with quality and time.Distributed parameter multi-agent system to describe complex physical systems can be more accurate,and the complex system can be reduced to facilitate coordinated management.The fundamental problem to be solved by distributed parameter multi-agent system consistent control is how to design a reasonable control protocol to coordinate multiple agents to complete the task uniformly,which is very different from the traditional single-object control theory.This paper mainly studies the consistency control problem of distributed parameter multi-agent,the specific work is as follows.(1)First-order distributed parameter multi-agent consistency control.Aiming at a class of first-order distributed parameter multi-agent system,a stability control based on feedback controller is proposed.First,the compact form of the system is designed by reconstructing the state variables,and the stability problems of the system under the L~2-norm are analyzed.The required positive definite matrix and feedback control rate are obtained through the stability proof of Lyapunov function and LMI method,so that the system Consistent control effect is achieved.Finally,the validity of the proposed method and the conclusions are verified by simulation.(2)Multi-agent consensus control of second-order distributed parameters.Aiming at a class of second-order distributed parameter multi-agent system,a stability control based on feedback controller is proposed.First,the compact form of the system is designed by reconstructing the state variables,and the stability of the system is analyzed.The required positive definite matrix and feedback control rate are obtained through the stability proof of Lyapunov function and the LMI method,so that the system achieves consistent control.Effect,and finally the validity of the proposed method and the conclusions are verified by simulation.(3)Consensus control of distributed parameter system based on iterative learning.For a class of first-order distributed parameter systems,a second-order P-type iterative learning control(ILC)method with an initial learning state is proposed.First,through analysis,a discrete system of P-type iterative learning control is established,and then the iterative learning control design problem is transformed into the stability problem of the discrete system.Secondly,by introducing new norms and generalized Gronwall inequality,sufficient conditions for controlling input convergence and tracking error are obtained.Finally,the validity of the method is verified by a numerical example.