Title :
Weighted l2-norms for analysis of an adaptive control loop based on a non-linear model
Author :
Johansen, Tor A.
Author_Institution :
Div. of Eng. Cybern., Norwegian Inst. of Technol., Trondheim, Norway
Abstract :
It is shown that the use of weighted l2-norms is a useful tool for the analysis of adaptive control loops based on non-linear models. The author applies a simplified feedback linearizing controller based on a linearly parameterized non-linear discrete-time input/output model with slowly time-varying parameters. The main assumption that is required in order to apply weighted l2-norms for analysis is that the non-linearities must satisfy some global growth conditions
Keywords :
adaptive control; asymptotic stability; control nonlinearities; control system analysis; feedback; linearisation techniques; parameter estimation; adaptive control loop; global growth conditions; linearly parameterized nonlinear discrete-time input/output model; nonlinear model; nonlinearities; simplified feedback linearizing controller; weighted l2-norms; Adaptive control; Controllability; Convolution; Noise reduction; Predictive models; Reduced order systems; Sampling methods; Stability analysis; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478665
