Jiménez-Rodríguez, EstebanSánchez-Torres, Juan D.Loukianov, Alexander2021-04-272021-04-272019-09E. 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.2019.8884532.978-1-7281-4841-0https://hdl.handle.net/11117/6571The 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.engPredefined-Time StabilityMechanical SystemsSecond-Order Systemsinfo:eu-repo/semantics/article