摘要：AbstractThis paper deals with the distributedH2optimal control problem for linear multi-agent systems. In particular, we consider a suboptimal version of the distributedH2optimal control problem. Given a linear multi-agent system with identical agent dynamics, an associatedH2cost functional, and a desired upper bound for the cost, our aim is to design a distributed diffusive static protocol such that the protocol achieves state synchronization while the associated cost is smaller than the given upper bound. To that end, we first analyze theH2performance of linear systems and then apply the results to linear multi-agent systems. Based on these results, two design methods are provided to compute such a suboptimal distributed protocol. For each method, the expression for the local control gain involves a solution of a single Riccati inequality of dimension equal to the dimension of the individual agent dynamics, and the smallest nonzero and the largest eigenvalue of the Laplacian matrix.
关键词：KeywordsDistributed controlH2optimal controlmulti-agent systemssuboptimal control
