A Note on Predefined-Time Stability⁎. Issue 13 (2018)

• Record Type: Journal Article
• Authors: Jiménez-Rodríguez, Esteban; Muñoz-Vázquez, Aldo Jonathan; Sánchez-Torres, Juan Diego; Loukianov, Alexander G.
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 13(2018)
• Page Start: 520
• Page End: 525
• Publication Date: 2018
• Subjects: Predefined-time stability -- Fixed-time stability -- Sliding mode control -- Nonlinear systems -- Lyapunov's direct method; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.07.332
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This note presents a new characterization for predefined-time-stable systems based on Lyapunov stability. In contrast to the previous results in predefined-time stability, the proposed characterization allows the construction of predefined-time stabilizing controllers with polynomial terms instead of exponential ones, removing the exponential nature hypothesis of predefined-time-stable systems. Moreover, the existing Lyapunov characterization of predefined-time stability is shown to be a consequence of the new theorem presented in this paper. Finally, the proposed approach is used for the construction of robust predefined-time stabilizing controllers for first-order systems. A simulation example shows the feasibility of the proposed methods.