TY - GEN
T1 - Unknown input estimation via observers for nonlinear systems with measurement delays
AU - Chakrabarty, Ankush
AU - Buzzard, Gregery T.
AU - Fridman, Emilia
AU - Zak, Stanisław H.
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/12/27
Y1 - 2016/12/27
N2 - The use of networked sensors or humans-in-the-loop for measuring outputs of dynamical systems inevitably leads to the introduction of time-varying measurement delays. The presence of such delays can lead to instability or severe degradation of system performance. In this paper, linear matrix inequality-based sufficient conditions are proposed for the design of state and unknown input observers informed by delayed measurements for a class of nonlinear systems, where the nonlinearities are characterized by incremental multiplier matrices. The proposed observer is guaranteed to perform at specified operational levels in the presence of unknown exogenous inputs acting on the states and measurement outputs. Sufficient conditions are also provided for the estimation of these unknown inputs to a specified degree of accuracy. The effectiveness of the proposed approach is demonstrated via a numerical example.
AB - The use of networked sensors or humans-in-the-loop for measuring outputs of dynamical systems inevitably leads to the introduction of time-varying measurement delays. The presence of such delays can lead to instability or severe degradation of system performance. In this paper, linear matrix inequality-based sufficient conditions are proposed for the design of state and unknown input observers informed by delayed measurements for a class of nonlinear systems, where the nonlinearities are characterized by incremental multiplier matrices. The proposed observer is guaranteed to perform at specified operational levels in the presence of unknown exogenous inputs acting on the states and measurement outputs. Sufficient conditions are also provided for the estimation of these unknown inputs to a specified degree of accuracy. The effectiveness of the proposed approach is demonstrated via a numerical example.
KW - L-stability
KW - Nonlinear time-delay systems
KW - incremental quadratic constraints
KW - linear matrix inequalities
KW - measurement delays
KW - unknown input observers
UR - http://www.scopus.com/inward/record.url?scp=85010825646&partnerID=8YFLogxK
U2 - 10.1109/CDC.2016.7798607
DO - 10.1109/CDC.2016.7798607
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AN - SCOPUS:85010825646
T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
SP - 2308
EP - 2313
BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 55th IEEE Conference on Decision and Control, CDC 2016
Y2 - 12 December 2016 through 14 December 2016
ER -