Control for a class of nonlinear systems with a time-varying structure

dc.creatorOrdonez, R.
dc.creatorPassino, K. M.
dc.date2000-07-26
dc.date.accessioned2026-07-07T04:36:32Z
dc.date.available2026-07-07T04:36:32Z
dc.descriptionIn this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by functions that depend on a possibly exogenous scheduling variable. We assume that each piece is in strict feedback form, and show that the method yields stability of all signals in the closed-loop, as well as convergence of the state vector to a residual set around the equilibrium, whose size can be set by the choice of several design parameters. The class of systems considered here is a generalization of the class of strict feedback systems traditionally considered in the backstepping literature. We also provide design guidelines based on L-infinity bounds on the transient.
dc.identifierhttps://arxiv.org/abs/math/0007168
dc.identifierhttp://arxiv.org/abs/math/0007168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59632
dc.subjectOptimization and Control
dc.titleControl for a class of nonlinear systems with a time-varying structure
dc.typetext

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