Observer-based Distributed Optimization For Multi-agent Systems

The linear multi-agent systems is a necessary part in the field of control systems theory.More and more attentions have been drawn to the distributed optimization problem for linear multi-agent systems,the main purpose is to design an optimization algorithm based on the neighbor relative information to make all agents achieve global optimization of objective function.However,in the real world,the global objective function is difficult to obtain.In this case,the proposed distributed optimization protocol can realize optimal control goal,even though the global objective function is unknown.This paper mainly deal with two aspects of multi-agent system.One the one hand,we consider an observer-based distributed problem for linear multi-agent system under undirected graph and design a distributed adaptive control protocol with observer to make system achieve optimal consensus.On the other hand,we investigate a distributed optimization for second-order system with disturbances.The optimization algorithm based on internal disturbance model is proposed to achieve individual optimization,which is often used to cope with disturbances in second-order system.The detailed arrangement of the paper is as follows:In chapter 1,we briefly introduce the physical background and application of the linear multi-agent systems,the distributed optimization and observer,as well as the current research situation and the preparatory knowledge used in this paper.In chapter 2,we research the distributed optimization problem of the linear multi-agent system with observer.In chapter 3,we mainly study based-observer distributed optimization problem of second-order system with disturbances,and propose a distributed control protocol based on state observer.Chapter 4 is the summary of the paper.