This paper investigates the adaptive output tracking problem for a class of high-order stochastic nonlinear systems with unknown time-varying powers and nonlinear parameterized uncertainties. By using the parameter separation technique and adding a power integrator design method, an adaptive controller with upper and lower bounds of the unknown time-varying power is successfully designed to guarantee that all the states of the closed-loop system are bounded in probability and the output tracking error can be regulated into a small neighborhood of the origin in probability. Finally, a simulation example is provided to illustrate the effectiveness of the designed controllers.

中文翻译：

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未知时变功率的随机非线性系统的自适应跟踪控制

研究了一类具有未知时变功率和非线性参数不确定性的高阶随机非线性系统的自适应输出跟踪问题。通过使用参数分离技术并添加功率积分器设计方法，成功设计了具有未知时变功率上下限的自适应控制器，以确保闭环系统的所有状态都受概率约束，并且可以将输出跟踪误差的概率调节到原点的较小范围内。最后，提供了一个仿真示例来说明所设计控制器的有效性。