Title :
Adaptive control for a discrete-time first-order nonlinear system with both parametric and non-parametric uncertainties
Author :
Ma, Hongbin ; Lum, Kai-Yew ; Ge, Shuzhi Sam
Author_Institution :
Nat. Univ. of Singapore, Singapore
Abstract :
A simple first-order discrete-time nonlinear system, which has both parametric uncertainty and non- parametric uncertainty, is studied in this paper. The uncertainty of non-parametric part is characterized by a Lipschitz constant L, and the nonlinearity of parametric part is characterized by an exponent index b. An adaptive controller is constructed for this model in both cases of b = 1 and b > 1, and its closed-loop stability is established under some conditions. When b = 1, the conditions given reveal the magic number 3/2 + radic2 which appeared in previous study on capability and limitations of the feedback mechanism.
Keywords :
adaptive control; closed loop systems; discrete systems; feedback; nonlinear control systems; stability; uncertain systems; Lipschitz constant; adaptive control; closed-loop stability; discrete-time first-order nonlinear system; feedback mechanism; non parametric uncertainties; Adaptive control; Automatic control; Control systems; Feedback control; Nonlinear control systems; Nonlinear systems; Programmable control; Stability; Uncertainty; Yarn; Adaptive control; Capability and limitation; Feedback mechanism; Non-parametric uncertainty; Parametric uncertainty;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434201
