OPTIMAL CONTROL FOR LINEAR DYNAMICAL SYSTEM WITH ZERO INITIAL CONDITIONS
| dc.contributor.author | Yafa Nihad Abdel Afou Abdel Aziz | |
| dc.date.accessioned | 2024-08-21T08:04:53Z | |
| dc.date.available | 2024-08-21T08:04:53Z | |
| dc.date.issued | 2023-03-05 | |
| dc.description.abstract | ABSTRACT The main focus of this study is on the Linear Dynamic Systems With Zero Initial Conditions. Also the following topics are presented: Optimal control, state space representation, Lyapunov equations, controllability, observability and their Gramians. Some model order reduction methods are also proposed, specifically balanced truncation and singular perturbation approximation. For the optimal control problems, the study used Feedback control strategies, numerical solution methods and their implementation with various illustrative applications. A linear quadratic regulator (LQR) is introduced to develop an optimal control that minimizes the quadratic cost function by employing the formal asymptotic solution for the underlying algebraic Riccati equation. This final optimal control was delivered by implementing three types of singular perturbation approximation to test the best performance in closed-loop conditions. A few numerical examples were given to illustrate one type of singular perturbation approximation and show how the reduced-order may be used to approach the optimal control of the original system. Numerical results for the clamped beam model and the RLC circuit have shown that singular perturbation approximation method is one of the most efficient methods for model order reduction. Keywords: Dynamic systems, Model Order Reduction, Singular Perturbation Approximation, Optimal Control. | |
| dc.identifier.uri | https://hdl.handle.net/20.500.11888/19411 | |
| dc.language.iso | en | |
| dc.supervisor | Dr. Adnan Daraghmeh | |
| dc.title | OPTIMAL CONTROL FOR LINEAR DYNAMICAL SYSTEM WITH ZERO INITIAL CONDITIONS | |
| dc.type | Thesis |