| タイトル | Optimal discrete-time LQR problems for parabolic systems with unbounded input: Approximation and convergence |
| 本文（外部サイト） | http://hdl.handle.net/2060/19880015863 |
| 著者（英） | Rosen, I. G. |
| 著者所属（英） | NASA Langley Research Center |
| 発行日 | 1988-06-01 |
| 言語 | eng |
| 内容記述 | An abstract approximation and convergence theory for the closed-loop solution of discrete-time linear-quadratic regulator problems for parabolic systems with unbounded input is developed. Under relatively mild stabilizability and detectability assumptions, functional analytic, operator techniques are used to demonstrate the norm convergence of Galerkin-based approximations to the optimal feedback control gains. The application of the general theory to a class of abstract boundary control systems is considered. Two examples, one involving the Neumann boundary control of a one-dimensional heat equation, and the other, the vibration control of a cantilevered viscoelastic beam via shear input at the free end, are discussed. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 88N25247
NAS 1.26:181673
ICASE-88-35
NASA-CR-181673 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/145940 |
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