State‐feedback stabilization for high‐order stochastic nonlinear systems with stochastic inverse dynamics |
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Authors: | Xue‐Jun Xie Jie Tian |
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Affiliation: | 1. Institute of Automation, Qufu Normal University, Qufu, Shandong Province 273165, ChinaInstitute of Automation, Qufu Normal University, Qufu, Shandong Province 273165, China===;2. Institute of Automation, Qufu Normal University, Qufu, Shandong Province 273165, China |
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Abstract: | For a class of high‐order stochastic nonlinear systems with stochastic inverse dynamics which are neither necessarily feedback linearizable nor affine in the control input, this paper investigates the problem of state‐feedback stabilization for the first time. Under some weaker assumptions, a smooth state‐feedback controller is designed, which ensures that the closed‐loop system has an almost surely unique solution on 0, ∞), the equilibrium at the origin of the closed‐loop system is globally asymptotically stable in probability, and the states can be regulated to the origin almost surely. A simulation example demonstrates the control scheme. Copyright © 2007 John Wiley & Sons, Ltd. |
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Keywords: | stochastic nonlinear systems stochastic inverse dynamics state‐feedback stabilization |
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