Adaptive fault-tolerant control for a class of stochastic nonlinear systems with multiple sensor faults

Xin-Nan Zhang and Xiao-Jian Li

International Journal of Systems Science, 2020, vol. 51, issue 12, 2217-2237

Abstract: This paper investigates the problem of adaptive fault-tolerant control for a class of single-input and single-output nonlinear Itô stochastic systems with unknown dynamics and multiple sensor faults. Due to the partial loss of effectiveness of sensors, each measured state contains an unknown time-varying fault parameter. Then, to circumvent the main obstacle caused by the coupling of unknown fault parameters and real states, a new method of fault parameters separating of stochastic nonlinear systems is proposed. Combining with the modified backstepping design techniques, an adaptive state feedback controller is constructed recursively to estimate unknown fault parameters and guarantee the stabilisation of the stochastic system. By using quartic Lyapunov functions, it is proved that all signals of the closed-loop system are bounded in probability. Finally, simulation results are given to illustrate the effectiveness of the proposed controller design method.

Date: 2020
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Citations: View citations in EconPapers (4)

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DOI: 10.1080/00207721.2020.1793231

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