Premium
Dynamic Output Feedback Consensualization of Uncertain Swarm Systems with Time Delays
Author(s) -
Xi Jianxiang,
Shi Zongying,
Liu Guangbin,
Zhong Yisheng
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.647
Subject(s) - swarm behaviour , linear subspace , subspace topology , computer science , complement (music) , control theory (sociology) , consensus , state (computer science) , function (biology) , mathematical optimization , discrete time and continuous time , mathematics , multi agent system , algorithm , control (management) , artificial intelligence , biochemistry , chemistry , statistics , geometry , complementation , evolutionary biology , biology , gene , phenotype
Consensus analysis and design problems of high‐dimensional discrete‐time swarm systems in directed networks with time delays and uncertainties are dealt with by using output information. Two subspaces are introduced, namely a consensus subspace and a complement consensus subspace. By projecting the state of a swarm system onto the two subspaces, a necessary and sufficient condition for consensus is presented, and based on different influences of time delays and uncertainties, an explicit expression of the consensus function is given which is very important in applications of swarm systems. A method to determine gain matrices of consensus protocols is proposed. Numerical simulations are presented to demonstrate theoretical results.