A modified pseudospectral method for solving trajectory optimization problems with singular arc
This paper presents a direct method based on Legendre-Radau pseudospectral method for efficient and accurate solution of a class of singular optimal control problems. In this scheme, based on a priori knowledge of control, the problem is transformed to a multidomain formulation, in which the switchi...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2016
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/3149
- Acceso en línea:
- http://hdl.handle.net/11407/3149
- Palabra clave:
- Feedback rule
Legendre-Gauss-Radau
Numerical solution
Pseudospectral method
Singular optimal control problem
Switching points
Nonlinear programming
Optimal control systems
Optimization
Problem solving
Legendre
Numerical solution
Pseudospectral methods
Singular optimal control
Switching points
Numerical methods
- Rights
- restrictedAccess
- License
- http://purl.org/coar/access_right/c_16ec
| Summary: | This paper presents a direct method based on Legendre-Radau pseudospectral method for efficient and accurate solution of a class of singular optimal control problems. In this scheme, based on a priori knowledge of control, the problem is transformed to a multidomain formulation, in which the switching points appear as unknown parameters. Then, by utilizing Legendre-Radau pseudospectral method, a nonlinear programming problem is derived which can be solved by the well-developed parameter optimization algorithms. The main advantages of the present method are its superior accuracy and ability to capture the switching times. Accuracy and performance of the proposed method are examined by means of some numerical experiments. © 2016 John Wiley & Sons, Ltd. |
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