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.

中文翻译：

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一类具有多传感器故障的随机非线性系统的自适应容错控制

本文研究了一类具有未知动力学和多传感器故障的单输入单输出非线性Itô随机系统的自适应容错控制问题。由于传感器有效性的部分损失，每个测量状态都包含一个未知的时变故障参数。然后，针对未知故障参数与真实状态耦合带来的主要障碍，提出了一种新的随机非线性系统故障参数分离方法。结合改进的反步设计技术，递归构建自适应状态反馈控制器，以估计未知故障参数并保证随机系统的稳定性。利用四次李雅普诺夫函数，证明了闭环系统的所有信号都是概率有界的。