Properties of Closed-Loop Reference Models in Adaptive Control

Details Properties of Closed-Loop Reference Models in Adaptive Control Properties of Closed-Loop Reference Models in Adaptive Control

2012-01-23

arxiv.org/abs/1201.4897v3

Mathematics

Optimization and Control

in preparation for IEEE Transactions on Automatic Control: v2 submission to IEEE CDC 2012 v3: Typos corrected in section IV

Scientific paper

This paper explores the properties of adaptive systems with closed-loop reference models. Historically, reference models in adaptive systems run open-loop in parallel with the plant and controller, using no information from the plant or controller to alter the trajectory of the reference system. Closed-loop reference models on the other hand use information from the plant to alter the reference trajectory. Using the extra design freedom available in closed-loop reference models, we design new adaptive identifiers, observers, and controllers that are (a) stable, and (b) have improved transient properties. Numerical studies that complement theoretical derivations are also reported.

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