TY - GEN
T1 - A push/pop phenomenon for nonlinear systems
AU - Shamma, Jeff R.
N1 - Copyright:
Copyright 2004 Elsevier B.V., All rights reserved.
PY - 1992/1
Y1 - 1992/1
N2 - The author investigates performance limitations imposed by non-minimum phase characteristics of a nonlinear time-varying plant. A performance criterion is defined which, in the linear case, is analogous to minimizing the sensitivity over a given frequency band. It is shown that if the nonlinear plant is non-minimum phase, then the frequency-weighted sensitivity cannot be made arbitrarily small while keeping the overall sensitivity bounded. The non-minimum phasedness of the plant is stated in terms of deficiency in its range. These results extend the familiar push/pop phenomenon in sensitivity optimization to a nonlinear time-varying setting.
AB - The author investigates performance limitations imposed by non-minimum phase characteristics of a nonlinear time-varying plant. A performance criterion is defined which, in the linear case, is analogous to minimizing the sensitivity over a given frequency band. It is shown that if the nonlinear plant is non-minimum phase, then the frequency-weighted sensitivity cannot be made arbitrarily small while keeping the overall sensitivity bounded. The non-minimum phasedness of the plant is stated in terms of deficiency in its range. These results extend the familiar push/pop phenomenon in sensitivity optimization to a nonlinear time-varying setting.
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M3 - Conference contribution
AN - SCOPUS:0026677911
SN - 0780304500
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 794
EP - 795
BT - Proceedings of the IEEE Conference on Decision and Control
PB - Publ by IEEE
T2 - Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
Y2 - 11 December 1991 through 13 December 1991
ER -