Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
753309 | Systems & Control Letters | 2006 | 7 Pages |
Abstract
We consider adaptive control of discrete-time nonlinear systems with a single unknown parameter in this paper. We demonstrate that the necessary and sufficient condition for the existence of a feedback stabilizer that is robust to bounded noise is that the nonlinear growth rate of the system dynamics is less than 4. This result further confirms the conclusion of Guo [On critical stability of discrete-time adaptive nonlinear control, IEEE Trans. Automat. Control 42 (1997) 1488–1499] which addresses unbounded noise in a stochastic setting. Also in our worst-case approach, we find that much simpler adaptive stabilizers can be constructed when the nonlinear growth rate is less than 4.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Chanying Li, Liang-Liang Xie,