  The current paper addresses the distributed guaranteed-performance consensus
design problems for general high-order linear multiagent systems with
leaderless and leader-follower structures, respectively. The information about
the Laplacian matrix of the interaction topology or its minimum nonzero
eigenvalue is usually required in existing works on the guaranteed-performance
consensus, which means that their conclusions are not completely distributed. A
new translation-adaptive strategy is proposed to realize the completely
distributed guaranteed-performance consensus control by using the structure
feature of a complete graph in the current paper. For the leaderless case, an
adaptive guaranteed-performance consensualization criterion is given in terms
of Riccati inequalities and a regulation approach of the consensus control gain
is presented by linear matrix inequalities. Extensions to the leader-follower
cases are further investigated. Especially, the guaranteed-performance costs
for leaderless and leader-follower cases are determined, respectively, which
are associated with the intrinsic structure characteristic of the interaction
topologies. Finally, two numerical examples are provided to demonstrate
theoretical results.
