Distributed control of spatially invariant systems Export

@article{BamiehPaganini_TAC02, abstract = {We consider distributed parameter systems where the underlying dynamics are spatially invariant, and where the controls and measurements are spatially distributed. These systems arise in many applications such as the control of vehicular platoons, flow control, microelectromechanical systems (MEMS), smart structures, and systems described by partial differential equations with constant coefficients and distributed controls and measurements. For fully actuated distributed control problems involving quadratic criteria such as linear quadratic regulator (LQR), H₂ and H_\∞, optimal controllers can be obtained by solving a parameterized family of standard finite-dimensional problems. We show that optimal controllers have an inherent degree of decentralization, and this provides a practical distributed controller architecture. We also prove a general result that applies to partially distributed control and a variety of performance criteria, stating that optimal controllers inherit the spatial invariance structure of the plant. Connections of this work to that on systems over rings, and systems with dynamical symmetries are discussed}, author = {Bamieh, B. and Paganini, F. and Dahleh, M. A.}, booktitle = {Automatic Control, IEEE Transactions on}, citeulike-article-id = {3198034}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/TAC.2002.800646}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1017552}, doi = {10.1109/TAC.2002.800646}, journal = {Automatic Control, IEEE Transactions on}, keywords = {distributed\_control, ode\_pde\_numerical, optimal\_control}, number = {7}, pages = {1091--1107}, posted-at = {2008-09-05 20:35:08}, priority = {2}, title = {Distributed control of spatially invariant systems}, url = {http://dx.doi.org/10.1109/TAC.2002.800646}, volume = {47}, year = {2002} }

TY - JOUR ID - BamiehPaganini_TAC02 L3 - citeulike-article-id:3198034 N2 - We consider distributed parameter systems where the underlying dynamics are spatially invariant, and where the controls and measurements are spatially distributed. These systems arise in many applications such as the control of vehicular platoons, flow control, microelectromechanical systems (MEMS), smart structures, and systems described by partial differential equations with constant coefficients and distributed controls and measurements. For fully actuated distributed control problems involving quadratic criteria such as linear quadratic regulator (LQR), H₂ and H_∞, optimal controllers can be obtained by solving a parameterized family of standard finite-dimensional problems. We show that optimal controllers have an inherent degree of decentralization, and this provides a practical distributed controller architecture. We also prove a general result that applies to partially distributed control and a variety of performance criteria, stating that optimal controllers inherit the spatial invariance structure of the plant. Connections of this work to that on systems over rings, and systems with dynamical symmetries are discussed IS - 7 JF - Automatic Control, IEEE Transactions on EP - 1107 TI - Distributed control of spatially invariant systems VL - 47 T2 - Automatic Control, IEEE Transactions on SP - 1091 KW - distributed_control KW - ode_pde_numerical KW - optimal_control AU - Bamieh, B AU - Paganini, F AU - Dahleh, MA PY - 2002/// UR - http://dx.doi.org/10.1109/TAC.2002.800646 ER -