Some Further Contributions to the Dynamic Sensitivity of the Parameter Perturbation Process

Abstract

In a previous paper [1], the concept of the dynamic sensitivity of a system state and its performance was introduced for a continuous linear system with small arbitrary perturbations in the system parameters. In this paper this concept is extended to a class of nonlinear and linear systems. It is shown that plant and controller parameters uncertainties (internal disturbances) may be regarded as a state-dependent noise at the input of the plant. The analysis is then applied to a continuous linear situation. As an example, a satellite attitude control with randomly varying tracking signals is considered; and the dynamic sensitivity behavior of the parameter-uncertainty-transmission path, from the controller parameters to the process performance index, is studied.