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- Title
Global stabilization of stochastic feedforward low‐order nonlinear systems with time delays and unknown control directions.
- Authors
Shao, Yu; Park, Ju H.; Xu, Shengyuan
- Abstract
In this article, the global stabilization issue is discussed for a class of stochastic continuous time‐delay nonlinear systems suffered from unknown control directions and disturbance. Instead of designing the adaptive law online, a control gain is invoked to adapt for the formidable scene of merely continuous but nonsmooth caused by the low‐order, and to deal with the negative effects of disturbance and multiple unknown nonlinear functions where both input and state time delays are taken into account. Then, by utilizing the homogenous domination approach, a delay‐independent controller is designed with a sign function to compensate for the negative impact generated from disturbance and maintain the global asymptotic stability of the closed‐loop system. Finally, a stochastic simulation is supplied to show the validity of the control scheme.
- Subjects
TIME delay systems; GLOBAL asymptotic stability; NONLINEAR systems; ADAPTIVE fuzzy control; CLOSED loop systems; NONLINEAR functions
- Publication
International Journal of Robust & Nonlinear Control, 2022, Vol 32, Issue 3, p1687
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.5904