TY - JOUR
T1 - Robustness of a relaxation oscillator
AU - Georgiou, Tryphon T.
AU - Smith, Malcolm C.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000
Y1 - 2000
N2 - The relaxation oscillator employs a negative integral action driving a bistable dynamic hysteresis-type nonlinear system via a feedback interconnection. The mathematical framework for the analysis of relaxation oscillator is developed. The background theory including a bound on the amount of modeling uncertainity, measured in gap metric, is presented. The theory guarantees the persistance of oscillatory behavior for the uncertain system. The robustness bounds are calculated by a specific class of perturbations of the negative integrator in the relay oscillator.
AB - The relaxation oscillator employs a negative integral action driving a bistable dynamic hysteresis-type nonlinear system via a feedback interconnection. The mathematical framework for the analysis of relaxation oscillator is developed. The background theory including a bound on the amount of modeling uncertainity, measured in gap metric, is presented. The theory guarantees the persistance of oscillatory behavior for the uncertain system. The robustness bounds are calculated by a specific class of perturbations of the negative integrator in the relay oscillator.
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U2 - 10.1002/1099-1239(200009/10)10:11/12<1005::AID-RNC536>3.0.CO;2-Q
DO - 10.1002/1099-1239(200009/10)10:11/12<1005::AID-RNC536>3.0.CO;2-Q
M3 - Article
AN - SCOPUS:0034275525
SN - 1049-8923
VL - 10
SP - 1005
EP - 1024
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
IS - 11
ER -