Abstract
In this paper, the problem of adaptive stabilization is investigated for stochastic nonlinear systems with three types of uncertainties: parametric uncertainties, uncertain nonlinearities and unmodeled dynamics. Under the assumption that the unmodeled dynamics are stochastic input-to-state stable, for the general smooth systems in which both drift and diffusion vector fields depend on not only the output but also the unmodeled dynamics, an adaptive output-feedback controller is constructively designed by the methods of adaptive backstepping with tuning function and changing the supply function. It is shown that under mild conditions, the closed-loop system is bounded in probability and moreover, the output can be regulated to the origin almost surely when the drift and diffusion vector fields vanish at the origin.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
