The ${\cal H}_{2} $ Control Problem for Quadratically Invariant Systems With Delays

作     者：Andrew Lamperski John C. Doyle 

作者机构：Department of Electrical and Computer Engineering University of Minnesota Minneapolis MN USA Control and Dynamical Systems California Institute of Technology Pasadena CA USA 

出 版 物：《IEEE Transactions on Automatic Control》 

年 卷 期：2015年第60卷第7期

页      面：1945-1950页

学科分类：0808[工学-电气工程] 08[工学] 

基　　金：Whitaker International Postdoctoral Scholarship 

主　　题：Delays Computational modeling Finite impulse response filters Matrix decomposition Optimal control Regulators Dynamic programming 

摘      要：This technical note gives a new solution to the output feedback H 2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H 2 problem is cast as a convex model matching problem. The main result shows that the model matching problem can be reduced to a finite-dimensional quadratic program. A recursive state-space method for computing the optimal controller based on vectorization is given.