A class of predefined-time stabilizing controllers for nonholonomic system

The design of a class of predefined-time stabilizing controller for a class uncertain nonholonomic systems in chained form is investigated in this paper. First, some modifications to the classical fixed-time algorithms for first and second order systems are introduced. These modified algorithms, whi...

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Detalles Bibliográficos
Autores: Jiménez-Rodríguez, Esteban, Sánchez-Torres, Juan D., Muñoz Vázquez, Aldo J., Defoort, Michael, Loukianov, Alexander
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:México
Institución:Instituto Tecnológico y de Estudios Superiores de Occidente
Repositorio:Repositorio Institucional del ITESO
Idioma:inglés
OAI Identifier:oai:rei.iteso.mx:11117/6570
Acceso en línea:https://hdl.handle.net/11117/6570
Access Level:acceso abierto
Palabra clave:Predefined-Time Stability
Nonholonomic Systems
Mechanical Systems
Descripción
Sumario:The design of a class of predefined-time stabilizing controller for a class uncertain nonholonomic systems in chained form is investigated in this paper. First, some modifications to the classical fixed-time algorithms for first and second order systems are introduced. These modified algorithms, which are developed under the concept of predefined-time stability, reduce the settling time overestimation drawback suffered by the classical fixed-time algorithm. Unlike current finite-time and fixed-time schemes, an upper bound of the settling time is easily tunable through a simple selection of the parameters of the controllers. Then, based on the developed first and second-order algorithms, a switching control strategy is designed to guarantee the predefined-time stability of the chained-form nonholonomic system. Finally, a simulation example is presented to show the effectiveness of the proposed method.