Regulation of a Class of Nonlinear Systems with Unknown Growth Rate Under Uncertain Measurement Sensitivity

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.