In this paper, we consider a regulation problem of a class of nonlinear systems whose nonlinearity has unknown growth rate. The new feature of our control problem is the presence of uncertain measurement sensitivity. Thus, instead of using ‘normal’ feedback, the available feedback for the controller is perturbed by uncertain time-varying functions. First, we investigate a compact set which contains the allowed measurement sensitivity. Then, we analytically show that the considered nonlinear system can be regulated by a controller with a dynamic gain in the presence of both unknown growth rate and uncertain measurement sensitivity. Examples are given for illustration.

在本文中，我们考虑一类非线性具有未知增长率的非线性系统的调节问题。我们控制问题的新特征是存在不确定的测量灵敏度。因此，与使用“正常”反馈不同，控制器的可用反馈会受到不确定的时变函数的干扰。首先，我们研究了一个包含允许的测量灵敏度的紧凑集。然后，我们分析表明，在存在未知增长率和不确定测量灵敏度的情况下，所考虑的非线性系统可以通过具有动态增益的控制器进行调节。举例说明。