Synchronization Of Multi-agent Systems Based On The Static Output Feedback Protocol

Synchronization is an important issue among the control problems of multi-agent systems.That is,the states,outputs,and variables of each sub-agent will achieve consensus by designing protocol.Synchronization of multi-agent system is widely applied.It has attracted attention of researchers in various fields,especially the fractional-order model,which is the extension of the traditional integer-order model.It can describe objects and systems more accurately.This paper studies the synchronization of multi-agent systems based on the static output feedback protocol.The main contents are as follows:For a class of linear high-order multi-agent systems,a static output feedback protocol is designed based on the output information of neighbor nodes.The synchronization control problem of multi-agent systems is transformed into a stabilization problem of a class of synchronization error systems,and sufficient conditions are derived to ensure synchronization and finite-time synchronization for the closed-loop system.By iteratively solving a class of optimization problems with inequality constraints,and using the separation method by introducing free variables,the optimal static output feedback gain is obtained,so that the corresponding performance index is minimized.Finally,the feasibility of the results is verified by numerical examples.The influence of parameters on the solution space is also studied and the feasible parameters are obtained.For a class of fractional-order multi-agent systems,a static output feedback protocol is designed based on the output information of neighbor nodes,and the synchronization control problem is transformed into a stabilization problem of a class of synchronization error systems.Sufficient conditions are derived to ensure the synchronization for the closed-loop system,from which the feedback gains are isolated.Finally,the feasibility of the results is verified by a numerical example.Finally,we summarize this thesis and look forward to the future research direction.