Distributed LQR Design for Identical Dynamically Decoupled Systems Export

@article{BorrelliKeviczky_TAC08, abstract = {<para> We consider a set of identical decoupled dynamical systems and a control problem where the performance index couples the behavior of the systems. The coupling is described through a communication graph where each system is a node and the control action at each node is only function of its state and the states of its neighbors. A distributed control design method is presented which requires the solution of a single linear quadratic regulator (LQR) problem. The size of the LQR problem is equal to the maximum vertex degree of the communication graph plus one. The design procedure proposed in this paper illustrates how stability of the large-scale system is related to the robustness of local controllers and the spectrum of a matrix representing the desired sparsity pattern of the distributed controller design problem. </para>}, author = {Borrelli, F. and Keviczky, T.}, booktitle = {Automatic Control, IEEE Transactions on}, citeulike-article-id = {3437674}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/TAC.2008.925826}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4626964}, doi = {10.1109/TAC.2008.925826}, journal = {Automatic Control, IEEE Transactions on}, keywords = {distributed\_control, lqg\_lqr, optimal\_control}, number = {8}, pages = {1901--1912}, posted-at = {2008-10-21 21:49:20}, priority = {4}, title = {Distributed LQR Design for Identical Dynamically Decoupled Systems}, url = {http://dx.doi.org/10.1109/TAC.2008.925826}, volume = {53}, year = {2008} }

TY - JOUR ID - BorrelliKeviczky_TAC08 L3 - citeulike-article-id:3437674 N2 - <para> We consider a set of identical decoupled dynamical systems and a control problem where the performance index couples the behavior of the systems. The coupling is described through a communication graph where each system is a node and the control action at each node is only function of its state and the states of its neighbors. A distributed control design method is presented which requires the solution of a single linear quadratic regulator (LQR) problem. The size of the LQR problem is equal to the maximum vertex degree of the communication graph plus one. The design procedure proposed in this paper illustrates how stability of the large-scale system is related to the robustness of local controllers and the spectrum of a matrix representing the desired sparsity pattern of the distributed controller design problem. </para> IS - 8 JF - Automatic Control, IEEE Transactions on EP - 1912 TI - Distributed LQR Design for Identical Dynamically Decoupled Systems VL - 53 T2 - Automatic Control, IEEE Transactions on SP - 1901 KW - distributed_control KW - lqg_lqr KW - optimal_control AU - Borrelli, F AU - Keviczky, T PY - 2008/// UR - http://dx.doi.org/10.1109/TAC.2008.925826 ER -