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Details van artikel 63 van 83 gevonden artikelen
| Titel: |
Optimal control using an algebraic method for control-affine non-linear systems |
| Auteur: |
Won, C. -H. Biswas, S. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 80 (2007) nr. 9 pagina's 1491-1502 |
| Jaar: |
2007-09 |
| Inhoud: |
A deterministic optimal control problem is solved for a control-affine non-linear system with a non-quadratic cost function. We algebraically solve the Hamilton-Jacobi equation for the gradient of the value function. This eliminates the need to explicitly solve the solution of a Hamilton-Jacobi partial differential equation. We interpret the value function in terms of the control Lyapunov function. Then we provide the stabilizing controller and the stability margins. Furthermore, we derive an optimal controller for a control-affine non-linear system using the state dependent Riccati equation (SDRE) method; this method gives a similar optimal controller as the controller from the algebraic method. We also find the optimal controller when the cost function is the exponential-of-integral case, which is known as risk-sensitive (RS) control. Finally, we show that SDRE and RS methods give equivalent optimal controllers for non-linear deterministic systems. Examples demonstrate the proposed methods. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 63 van 83 gevonden artikelen
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