Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207170701598478
Title: Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays
Authors: Liu, S.-J.
Ge, S.S. 
Zhang, J.-F.
Keywords: Adaptive control
Memoryless
Output-feedback stabilisation
Stochastic non-linear systems
Time-delay systems
Virtual control coefficients
Issue Date: Aug-2008
Source: Liu, S.-J., Ge, S.S., Zhang, J.-F. (2008-08). Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays. International Journal of Control 81 (8) : 1210-1220. ScholarBank@NUS Repository. https://doi.org/10.1080/00207170701598478
Abstract: In this paper, we investigate the adaptive output-feedback stabilisation for a class of stochastic non-linear systems with time-varying time delays. First, we give some sufficient conditions to ensure the existence and uniqueness of the solution process for stochastic non-linear systems with time delays, and introduce a new stability notion and the related criterion. Then, for a class of stochastic non-linear systems with time-varying time delays, uncertain parameters in both drift and diffusion terms, and general constant virtual control coefficients, we present a systematic design procedure for a memoryless adaptive output-feedback control law by using the backstepping method. It is shown that under the control law based on a memoryless observer, the closed-loop equilibrium of interest is globally stable in probability, and moreover, the solution process can be regulated to the origin almost surely.
Source Title: International Journal of Control
URI: http://scholarbank.nus.edu.sg/handle/10635/54929
ISSN: 00207179
DOI: 10.1080/00207170701598478
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