Robust adaptive control: Conditions for local stability

Abstract
The question is examined of when an adaptive control system is robust to unmodeled dynamics and unknown bounded disturbances. Conditions are presented that ensure the existence of such robustness properties, but only locally; i.e., restrictions are placed on the behavior of signals in the ideal, perfectly tuned adaptive system. Local L∝-stability is investigated when certain tuned signals are assumed to be persistently exciting.

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