Jiménez-Rodríguez, EstebanSánchez-Torres, Juan D.Loukianov, Alexander2017-03-312017-03-312017-04-01Jiménez-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--101.1815-5928http://hdl.handle.net/11117/4377This 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.engPredefined-time stabilityOptimal controlLinear systemsinfo:eu-repo/semantics/article