TY - GEN
T1 - On-line Estimation of Stability and Passivity Metrics
AU - Welikala, Shirantha
AU - Lin, Hai
AU - Antsaklis, Panos J.
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - We consider the problem of on-line evaluation of critical characteristic parameters such as the ℒ2-gain, input feedforward passivity index and output feedback passivity index of non-linear systems using their input-output data. Typically, having an accurate measure of such system indices enables the application of systematic control design techniques. Moreover, if such system indices can efficiently be evaluated on-line, they can be exploited to design intelligent control solutions. However, the existing off-line estimation methods of such system indices are computationally inefficient and require a large amount of input-output data. On the other hand, the existing on-line estimation methods take an averaging-based approach, which may be sub-optimal, computationally inefficient and susceptible to estimate saturation. To overcome these challenges in the on-line estimation of system indices, we establish and exploit several interesting theoretical results on a particular class of fractional function optimization problems. Finally, we provide several numerical examples to highlight our contributions.
AB - We consider the problem of on-line evaluation of critical characteristic parameters such as the ℒ2-gain, input feedforward passivity index and output feedback passivity index of non-linear systems using their input-output data. Typically, having an accurate measure of such system indices enables the application of systematic control design techniques. Moreover, if such system indices can efficiently be evaluated on-line, they can be exploited to design intelligent control solutions. However, the existing off-line estimation methods of such system indices are computationally inefficient and require a large amount of input-output data. On the other hand, the existing on-line estimation methods take an averaging-based approach, which may be sub-optimal, computationally inefficient and susceptible to estimate saturation. To overcome these challenges in the on-line estimation of system indices, we establish and exploit several interesting theoretical results on a particular class of fractional function optimization problems. Finally, we provide several numerical examples to highlight our contributions.
UR - http://www.scopus.com/inward/record.url?scp=85147010624&partnerID=8YFLogxK
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U2 - 10.1109/CDC51059.2022.9993233
DO - 10.1109/CDC51059.2022.9993233
M3 - Conference contribution
AN - SCOPUS:85147010624
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 267
EP - 272
BT - 2022 IEEE 61st Conference on Decision and Control, CDC 2022
T2 - 61st IEEE Conference on Decision and Control, CDC 2022
Y2 - 6 December 2022 through 9 December 2022
ER -