TY - GEN
T1 - State-norm estimators for switched nonlinear systems under average dwell-time
AU - Müller, Matthias A.
AU - Liberzon, Daniel
PY - 2010
Y1 - 2010
N2 - In this paper, we consider the concept of statenorm estimators for switched nonlinear systems under average dwell-time switching signals. State-norm estimators are closely related to the concept of input/output-to-state stability (IOSS). We show that if the average dwell-time is large enough, a non-switched state-norm estimator for a switched system exists in the case where each of its constituent subsystems is IOSS. Furthermore, we show that a switched state-norm estimator, consisting of two subsystems, exists for a switched system in the case where only some of its constituent subsystems are IOSS and others are not, provided that the average dwell-time is large enough and the activation time of the non-IOSS subsystems is not too large. In both cases, the stated sufficient conditions are also sufficient for the switched system to be IOSS. For the case where some subsystems are not IOSS, we also show that the switched state-norm estimator can be constructed in such a way that its switching times are independent of the switching times of the switched system it is designed for.
AB - In this paper, we consider the concept of statenorm estimators for switched nonlinear systems under average dwell-time switching signals. State-norm estimators are closely related to the concept of input/output-to-state stability (IOSS). We show that if the average dwell-time is large enough, a non-switched state-norm estimator for a switched system exists in the case where each of its constituent subsystems is IOSS. Furthermore, we show that a switched state-norm estimator, consisting of two subsystems, exists for a switched system in the case where only some of its constituent subsystems are IOSS and others are not, provided that the average dwell-time is large enough and the activation time of the non-IOSS subsystems is not too large. In both cases, the stated sufficient conditions are also sufficient for the switched system to be IOSS. For the case where some subsystems are not IOSS, we also show that the switched state-norm estimator can be constructed in such a way that its switching times are independent of the switching times of the switched system it is designed for.
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U2 - 10.1109/CDC.2010.5717596
DO - 10.1109/CDC.2010.5717596
M3 - Conference contribution
AN - SCOPUS:79953157638
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1275
EP - 1280
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -