Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint

Liandi Fang, Li Ma, Shihong Ding and Dean Zhao

Applied Mathematics and Computation, 2019, vol. 358, issue C, 63-79

Abstract: This paper considers the problem of finite-time stabilization in probability for a class of high-order stochastic nonlinear systems with output constraints in which the fractional powers are only required to be positive rather than not less than one. Based on a modified version of adding a power integrator technique and a novel tan-type barrier Lyapunov function, a systematic design approach is developed and a state-feedback controller is constructed. Rigorous mathematical proof shows that the origin of the system is finite-time stable in probability and the constraint requirement on the output is not violated. The effectiveness of the proposed finite-time control scheme is verified by a simulation example.

Keywords: Finite-time stabilization; Stochastic nonlinear systems; Tan-type barrier Lyapunov function (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:358:y:2019:i:c:p:63-79

DOI: 10.1016/j.amc.2019.03.067

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