@article{oai:nias.repo.nii.ac.jp:00000849, author = {金丸, 英幸}, issue = {2}, journal = {長崎総合科学大学紀要, Bulletin of the Nagasaki Institute of Applied Science}, month = {Dec}, note = {P(論文), Several methods to solve the Riccati equation are proposed for the optimal regulator problem in modern control theory. In some cases, a solution of the Riccati equation is reached through iterative calculation. But many steps of iteration are sometimes required because of oscillation of iterative process. In this paper, numerical error between left and right sides of matrix-type Riccati equation is treated as a criterion of convergence, and a filtering technique is presented to reduce the number of iterations. Furthermore, the appropriate value of filtering parameter is decided analytically on the basis of the way to get a solution through Lyapunov equation derived from Riccati equation. Finally, the effectiveness of the results of this study is confirmed as well as improvement of efficiency of iterative process by parametric studies of numerical simulation.}, pages = {235--244}, title = {振動的なリッカチ方程式求解過程の収束性改善}, volume = {60}, year = {2020}, yomi = {カナマル, ヒデユキ} }