Abstract
The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution can be obtained via a related matrix Riccati differential equation in the space variable. Then the latter is applied to the nonlinear model, and the resulting closed-loop system dynamical performances are analyzed.
| Original language | English |
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| Title of host publication | Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC |
| Pages | 3944-3949 |
| Number of pages | 6 |
| Publication status | Published - 1 Dec 2006 |
| Event | 45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006 |
Conference
| Conference | 45th IEEE Conference on Decision and Control 2006, CDC |
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| Country/Territory | United States |
| City | San Diego, CA |
| Period | 13/12/06 → 15/12/06 |
Keywords
- First-order hyperbolic PDE's
- Infinite-dimensional systems
- LQ-optimal control
- Optimality
- Stability