Título
Nonlinear L2-Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts
Autor
TOPACIO OSUNA ALTAMIRANO
Colaborador
OSCAR MONTAÑO ARANGO (Colaborador)
YURY ORLOV (Colaborador)
Nivel de Acceso
Acceso Abierto
Identificador alterno
doi: http://dx.doi.org/10.1155/2016/9074096
Materias
Resumen o descripción
"The L<sub>2</sub>-gain analysis is extended towards hybrid mechanical systems, operating under unilateral constraints and admitting both sliding modes and collision phenomena. Sufficient conditions for such a system to be internally asymptotically stable and to possess L<sub>2</sub>-gain less than an a priori given disturbance attenuation level are derived in terms of two independent inequalities which are imposed on continuous-time dynamics and on discrete disturbance factor that occurs at the collision time instants. The former inequality may be viewed as the Hamilton-Jacobi inequality for discontinuous vector fields, and it is separately specified beyond and along sliding modes, which occur in the system between collisions. Thus interpreted, the former inequality should impose the desired integral input-to-state stability (iISS) property on the Filippov dynamics between collisions whereas the latter inequality is invoked to ensure that the impact dynamics (when the state trajectory hits the unilateral constraint) are input-to-state stable (ISS). These inequalities, being coupled together, form the constructive procedure, effectiveness of which is supported by the numerical study made for an impacting double integrator, driven by a sliding mode controller. Desired disturbance attenuation level is shown to satisfactorily be achieved under external disturbances during the collision-free phase and in the presence of uncertainties in the transition phase."
Editor
Hindawi Publishing Corporation
Fecha de publicación
2016
Tipo de publicación
Artículo
Versión de la publicación
Versión publicada
Recurso de información
Formato
application/pdf
Fuente
Mathematical Problems in Engineering, Vol. 2016, Págs. 1-10
Idioma
Inglés
Relación
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-Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts.Mathematical Problems in Engineering,2016,1-10.doi:10.1155/2016/9074096
Sugerencia de citación
Osuna,T.,Montano,O.E.,Orlov,Y.2016.Nonlinear L
Repositorio Orígen
Repositorio Institucional CICESE
Descargas
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