We study the adaptive output-feedback stabilization problem of stochastic strict-feedback systems with sensor uncertainty. Specifically, we consider the simultaneous presence of sensor uncertainty, unknown growth rate and stochastic disturbance, which has not been treated heretofore. By developing a new stochastic adaptive dual-domination approach, an adaptive observer and an output-feedback controller are designed, in which two gains are suitably selected to dominate the unknown sensor sensitivity and unknown growth rate, respectively. By using the nonnegative semimartingale convergence theorem, it is proved that the closed-loop system has an almost surely unique solution on $[0,+\infty )$ and that regulation to the equilibrium at the origin of the closed-loop system is achieved almost surely. Finally, two simulation examples are given to illustrate the control design.

我们研究具有传感器不确定性的随机严格反馈系统的自适应输出反馈稳定问题。具体地，我们考虑到传感器不确定性，未知的增长率和随机干扰的同时存在，这迄今为止尚未得到处理。通过开发一种新的随机自适应双控制方法，设计了一种自适应观察器和一个输出反馈控制器，其中分别选择了两个增益来控制未知的传感器灵敏度和未知的增长率。通过使用非负半mart收敛定理，证明了闭环系统具有几乎确定的唯一解。$[0，+\infty ）$并且几乎可以肯定地实现了对闭环系统起源处的平衡的调节。最后，给出了两个仿真示例来说明控制设计。