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Numerical approximation for the infinite-dimensional discrete-time optimal linear-quadratic regulator problem
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Gibson, J. S. Rosen, I. G. |
| Copyright Year | 1986 |
| Description | An abstract approximation framework is developed for the finite and infinite time horizon discrete-time linear-quadratic regulator problem for systems whose state dynamics are described by a linear semigroup of operators on an infinite dimensional Hilbert space. The schemes included the framework yield finite dimensional approximations to the linear state feedback gains which determine the optimal control law. Convergence arguments are given. Examples involving hereditary and parabolic systems and the vibration of a flexible beam are considered. Spline-based finite element schemes for these classes of problems, together with numerical results, are presented and discussed. |
| File Size | 1745747 |
| Page Count | 88 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19860015705 |
| Archival Resource Key | ark:/13960/t6qz7448k |
| Language | English |
| Publisher Date | 1986-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Linear Systems Controllers Approximation Vibration Beams Supports Hilbert Space Control Theory Feedback Control Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
