Nonlinear L2-Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts

dc.contributorOSCAR MONTAÑO ARANGO
dc.contributorYURY ORLOV
dc.creatorTOPACIO OSUNA ALTAMIRANO
dc.date2016
dc.date.accessioned2023-03-16T14:29:35Z
dc.date.available2023-03-16T14:29:35Z
dc.identifierhttp://cicese.repositorioinstitucional.mx/jspui/handle/1007/1725
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/6229751
dc.description"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."
dc.formatapplication/pdf
dc.languageeng
dc.publisherHindawi Publishing Corporation
dc.relationinfo:eu-repo/semantics/altIdentifier/DOI/http://dx.doi.org/10.1155/2016/9074096
dc.relationcitation:Osuna,T.,Montano,O.E.,Orlov,Y.2016.Nonlinear L<sub>2</sub>-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
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.sourceMathematical Problems in Engineering, Vol. 2016, Págs. 1-10
dc.subjectinfo:eu-repo/classification/Administrador/Nonlinear, Hybrid systems, Sliding modes, ISS
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2203
dc.subjectinfo:eu-repo/classification/cti/2203
dc.titleNonlinear L2-Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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