タイトル | A linear quadratic regulator approach to the stabilization of uncertain linear systems |
著者(英) | Wang, Y. J.; Shieh, L. S.; Sunkel, J. W. |
著者所属(英) | NASA Johnson Space Center|Houston Univ. |
発行日 | 1990-01-01 |
言語 | eng |
内容記述 | This paper presents a linear quadratic regulator approach to the stabilization of uncertain linear systems. The uncertain systems under consideration are described by state equations with the presence of time-varying unknown-but-bounded uncertainty matrices. The method is based on linear quadratic regulator (LQR) theory and Liapunov stability theory. The robust stabilizing control law for a given uncertain system can be easily constructed from the symmetric positive-definite solution of the associated augmented Riccati equation. The proposed approach can be applied to matched and/or mismatched systems with uncertainty matrices in which only their matrix norms are bounded by some prescribed values and/or their entries are bounded by some prescribed constraint sets. Several numerical examples are presented to illustrate the results. |
NASA分類 | CYBERNETICS |
レポートNO | 90A47755 AIAA PAPER 90-3509 |
権利 | Copyright |
URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/354132 |