Optimal Predefined-Time Stabilization for a Class of Linear Systems
Cargando...
Fecha
2017-04-01
Autores
Jiménez-Rodríguez, Esteban
Sánchez-Torres, Juan D.
Loukianov, Alexander
Título de la revista
ISSN de la revista
Título del volumen
Editor
Instituto Superior Politécnico José A. Echeverría
Resumen
Descripción
This paper addresses the problem of optimal predefined-time stability. Predefined-time stable systems are a class of fixed-time stable dynamical systems for which a bound of the settling-time function can be defined a priori as an explicit parameter of the system. Sufficient conditions for a controller to solve the optimal predefined-time stabilization problem for a given nonlinear system are provided. Furthermore, for nonlinear affine systems and a specific performance index, a family of inverse optimal predefined-time stabilizing controllers is derived. This class of controllers is applied to the inverse predefined-time optimization of the sliding manifold reaching phase in linear systems, jointly with the idea of integral sliding mode control to ensure robustness. Finally, as a study case, the developed methods are applied to an uncertain satellite system, and numerical simulations are carried out to show their behavior.
Palabras clave
Predefined-time stability, Optimal control, Linear systems
Citación
Jiménez-Rodríguez, E., Sánchez-Torres, J. D. and Loukianov, A. (2017). "Optimal Predefined-Time Stabilization for a Class of Linear Systems, Revista de Ingeniería Electrónica, Automática y Comunicaciones, 38 (1), 90--101.