Parallel Optimal Control for Weakly Coupled Nonlinear Systems Using Successive Galerkin Approximation Export

@article{KimLim_TAC08, abstract = {This technical note presents a new algorithm for the closed-loop parallel optimal control of weakly coupled nonlinear systems with respect to performance criteria using the successive Galerkin approximation (SGA). By using the weak coupling theory, the optimal control law can be obtained from two reduced-order optimal control problems in parallel, but the resulting problem is difficult to solve for nonlinear systems. In order to overcome the difficulties inherent in the nonlinear optimal control problem, the parallel optimal control laws are constructed in terms of the approximated solutions to two independent Hamilton-Jacobi-Bellman equations using the SGA method. One of the purposes of this note is to design the closed-loop parallel optimal control law for the weakly coupled nonlinear systems using the SGA method. The second is to reduce the computational complexity when the SGA method is applied to the high-order weakly coupled systems.}, author = {Kim, Young-Joong and Lim, Myo-Taeg}, booktitle = {Automatic Control, IEEE Transactions on}, citeulike-article-id = {3444559}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/TAC.2008.921047}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4610039}, doi = {10.1109/TAC.2008.921047}, journal = {Automatic Control, IEEE Transactions on}, keywords = {dynamical\_systems, galerkin\_approximation, lqg\_lqr, ode\_pde\_numerical, optimal\_control}, number = {6}, pages = {1542--1547}, posted-at = {2008-10-23 23:13:33}, priority = {2}, title = {Parallel Optimal Control for Weakly Coupled Nonlinear Systems Using Successive Galerkin Approximation}, url = {http://dx.doi.org/10.1109/TAC.2008.921047}, volume = {53}, year = {2008} }

TY - JOUR ID - KimLim_TAC08 L3 - citeulike-article-id:3444559 N2 - This technical note presents a new algorithm for the closed-loop parallel optimal control of weakly coupled nonlinear systems with respect to performance criteria using the successive Galerkin approximation (SGA). By using the weak coupling theory, the optimal control law can be obtained from two reduced-order optimal control problems in parallel, but the resulting problem is difficult to solve for nonlinear systems. In order to overcome the difficulties inherent in the nonlinear optimal control problem, the parallel optimal control laws are constructed in terms of the approximated solutions to two independent Hamilton-Jacobi-Bellman equations using the SGA method. One of the purposes of this note is to design the closed-loop parallel optimal control law for the weakly coupled nonlinear systems using the SGA method. The second is to reduce the computational complexity when the SGA method is applied to the high-order weakly coupled systems. IS - 6 JF - Automatic Control, IEEE Transactions on EP - 1547 TI - Parallel Optimal Control for Weakly Coupled Nonlinear Systems Using Successive Galerkin Approximation VL - 53 T2 - Automatic Control, IEEE Transactions on SP - 1542 KW - dynamical_systems KW - galerkin_approximation KW - lqg_lqr KW - ode_pde_numerical KW - optimal_control AU - Kim, Young-Joong AU - Lim, Myo-Taeg PY - 2008/// UR - http://dx.doi.org/10.1109/TAC.2008.921047 ER -