RESEARCH ARTICLE
Finite-time stabilization of stochastic low-order nonlinear systems with FT-SISS inverse dynamics
Meng-Meng Jiang,
Xue-Jun Xie,
Meng-Meng Jiang
Institute of Automation, Qufu Normal University, Qufu, China
Search for more papers by this authorCorresponding Author
Xue-Jun Xie
Institute of Automation, Qufu Normal University, Qufu, China
Correspondence
Xue-Jun Xie, Institute of Automation, Qufu Normal University, Qufu 273165, China.
Email: [email protected]
Search for more papers by this authorMeng-Meng Jiang,
Xue-Jun Xie,
Meng-Meng Jiang
Institute of Automation, Qufu Normal University, Qufu, China
Search for more papers by this authorCorresponding Author
Xue-Jun Xie
Institute of Automation, Qufu Normal University, Qufu, China
Correspondence
Xue-Jun Xie, Institute of Automation, Qufu Normal University, Qufu 273165, China.
Email: [email protected]
Search for more papers by this authorSummary
This paper studies finite-time stabilization problem for stochastic low-order nonlinear systems with stochastic inverse dynamics. By characterizing unmeasured stochastic inverse dynamics with finite-time stochastic input-to-state stability, combining the Lyapunov function and adding a power integrator technique, and using the stochastic finite-time stability theory, a state feedback controller is designed to guarantee global finite-time stability in probability of stochastic low-order nonlinear systems with finite-time stochastic input-to-state stability inverse dynamics.
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