A dynamical inequality for the output of uncertain nonlinear systems. (English) Zbl 1488.93061
Summary: An important task in control theory is to study the limitations of feedback principle in dealing
with uncertainties. Although some progresses have been achieved in this area, they are all focused on some
special classes of linearly parameterized nonlinear uncertain systems. In this paper, we will present a dynamic
inequality for the output process of a quite general class of nonlinear dynamical control systems with nonlinearly
parameterized uncertain parameters. This inequality will be established using a stochastic imbedding approach
based on a Cramér-Rao inequality for dynamical systems, and will be shown to play a crucial role in investigating
the fundamental limitations of the feedback mechanism.
MSC:
93B52 | Feedback control |
93C41 | Control/observation systems with incomplete information |
93C10 | Nonlinear systems in control theory |