Backstepping Design for the Predefined-Time Stabilization of Second-Order Systems
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Fecha
2019-09
Autores
Jiménez-Rodríguez, Esteban
Sánchez-Torres, Juan D.
Loukianov, Alexander
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Editor
IEEE
Resumen
Descripción
The backstepping design of a controller which stabilizes a class of second-order systems in predefined-time is studied in this paper. The origin of a dynamical system is said to be predefined-time stable if it is fixed-time stable and an upper bound of the settling-time function can be arbitrarily chosen a priori through an appropriate selection of the system parameters. The proposed backstepping construction is based on recently proposed Lyapunov-like sufficient conditions for predefined-time stability. Different from other approaches, the proposed backstepping design allows the simultaneous construction of a Lyapunov function which meets the conditions for guaranteeing predefined-time stability. A simulation example is presented to show the behavior of a developed controller, and to show its advantages against similar schemes.
Palabras clave
Predefined-Time Stability, Mechanical Systems, Second-Order Systems
Citación
E. Jiménez-Rodríguez, J. D. Sánchez-Torres and A. Loukianov (2019). Backstepping Design for the Predefined-Time Stabilization of Second-Order Systems. 16th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), Mexico City, Mexico, pp. 1-6, doi: 10.1109/ICEEE.2019.8884532.