This article is concerned with the fixed-time prescribed tracking control problem for the uncertain stochastic nonlinear systems subject to input quantization and unknown measurement sensitivity. Different from existing results, the sensitivity on the sensor for measuring the system state is considered as an unknown parameter instead of the known one. Due to unknown measurement sensitivity on the sensor, the real system state cannot be obtained by measurement; hence, we put forward a new feedback control algorithm by the use of the unreal measured value of the system state. Moreover, the fixed-time prescribed performance on the output tracking error is investigated by developing a novel performance function. By means of the backstepping method, an adaptive quantized controller is designed for the system. Based on the Lyapunov stability theory, it is proved that the controller can render the output tracking error that satisfies the fixed-time prescribed performance and all signals of the resulting closed-loop system are bounded in probability. Finally, simulation results are provided to illustrate the effectiveness of the proposed control algorithm.

中文翻译：

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测量灵敏度未知的随机非线性系统的固定时间规定跟踪控制


本文研究的是输入量化和测量灵敏度未知的不确定随机非线性系统的固定时间规定跟踪控制问题。与现有结果不同的是，用于测量系统状态的传感器的灵敏度被视为未知参数而不是已知参数。由于传感器的测量灵敏度未知，无法通过测量获得真实的系统状态；因此，我们利用系统状态的非真​​实测量值提出了一种新的反馈控制算法。此外，通过开发一种新颖的性能函数来研究输出跟踪误差的固定时间规定性能。通过反步法，为系统设计了自适应量化控制器。基于Lyapunov稳定性理论，证明了控制器能够使输出跟踪误差满足固定时间规定性能，并且所得闭环系统的所有信号都有概率有界。最后，提供仿真结果来说明所提出的控制算法的有效性。