DocumentCode :
2411262
Title :
Stability robustness of adaptive systems requires only lower bounds on excitation
Author :
Lawrence, Dale A.
Author_Institution :
Dept. of Aerosp. Eng. Sci., Colorado Univ., Boulder, CO, USA
fYear :
1992
fDate :
1992
Firstpage :
2148
Abstract :
New results for basic algorithm robustness are given. Recent descriptions of a self-stabilization mechanism present in a posteriori adaptive algorithm indicate that parameter drift instability is necessary for bounded disturbances to lead to unbounded parameter and prediction errors. It is also known that some forms of persistent excitation conditions can prevent parameter drift. The author provides a proof that only lower bounds on persistent excitation are sufficient for bounded-disturbance bounded-error stability. This result significantly extends stability theory for adaptive systems, since it does not restrict disturbances to be small relative to the level of excitation, as in the standard perturbation-style analyses
Keywords :
adaptive systems; self-adjusting systems; stability; a posteriori adaptive algorithm; adaptive systems; algorithm robustness; bounded disturbances; bounded-disturbance bounded-error stability; excitation bounds; parameter drift instability; persistent excitation; self-stabilization mechanism; Adaptive algorithm; Adaptive control; Adaptive systems; Aerospace engineering; Algorithm design and analysis; Parameter estimation; Programmable control; Robust stability; Robustness; Stability analysis; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
Type :
conf
DOI :
10.1109/CDC.1992.371419
Filename :
371419
Link To Document :
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