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

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

2000-07-26

arxiv.org/abs/math/0007168v1

Mathematics

Optimization and Control

Scientific paper

In 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.

Affiliated with

Also associated with

No associations

Rating

Control for a class of nonlinear systems with a time-varying structure does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Control for a class of nonlinear systems with a time-varying structure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Control for a class of nonlinear systems with a time-varying structure will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719739