Journal
SYSTEMS & CONTROL LETTERS
Volume 77, Issue -, Pages 69-79Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sysconle.2015.01.009
Keywords
Stochastic nonlinear systems; Stabilization; Output-feedback; K-filters; Time-varying technique
Funding
- National Natural Science Foundation of China [61325016, 61273084, 61233014]
- National Science Foundation of Distinguished Young Scholar of Shandong Province of China [JQ200919]
- Independent Innovation Foundation of Shandong University of China [2012JC014]
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This paper considers the global stabilization via time-varying output-feedback for a class of stochastic nonlinear systems. Different from the related existing literature, the systems possess serious uncertainties/unknowns which are reflected in the uncertain control coefficient and the unknown growth rate of the unmeasured states dependent growth. To deal with these serious uncertainties/unknowns, a time-varying framework, rather than an adaptive one, is proposed in this paper since the latter has not been successfully employed in the topic. Detailedly, due to the absence of precise information on the control coefficient, time-varying K-filters are introduced to construct the unmeasured system states. By a delicate time-scaling transformation, a time-scaled entire system is derived, and from which, the design scheme of a time-varying output-feedback controller is developed by backstepping method and time-varying technique. It is shown that all signals of the resulting closed-loop system converge to zero a.s., and furthermore, when serious time-variations exist as well, it suffices to find a fast enough time-varying gain for the control design scheme. A simulation example is given to show the effectiveness of the theoretical results. (C) 2015 Elsevier B.V. All rights reserved.
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