TY - GEN
T1 - Online identification of piecewise affine systems
AU - Kersting, Stefan
AU - Buss, Marin
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/10/1
Y1 - 2014/10/1
N2 - In this paper, we present a novel procedure for online identification of piecewise affine systems. We show how to identify the submodels of a piecewise affine system online, under the assumption of known switching boundaries and full state measurement. The adaptively identified subsystem parameters can be used for indirect adaptive control or online plant diagnosis and fault detection. The procedure proposed in this paper extends the well-studied series-parallel parameter identifiers in adaptive control to piecewise affine systems. Challenges that had to be solved for this extension are the additional constant input of the affine subsystems and the switching behavior which is a potential source of instability. We sketch the proof for both stability and parameter convergence of the proposed algorithm. Finally, numerical simulations validate the results and analyze the convergence speed of the estimated parameters.
AB - In this paper, we present a novel procedure for online identification of piecewise affine systems. We show how to identify the submodels of a piecewise affine system online, under the assumption of known switching boundaries and full state measurement. The adaptively identified subsystem parameters can be used for indirect adaptive control or online plant diagnosis and fault detection. The procedure proposed in this paper extends the well-studied series-parallel parameter identifiers in adaptive control to piecewise affine systems. Challenges that had to be solved for this extension are the additional constant input of the affine subsystems and the switching behavior which is a potential source of instability. We sketch the proof for both stability and parameter convergence of the proposed algorithm. Finally, numerical simulations validate the results and analyze the convergence speed of the estimated parameters.
KW - adaptive control
KW - hybrid systems
KW - piecewise affine systems
KW - system identification
UR - http://www.scopus.com/inward/record.url?scp=84921527316&partnerID=8YFLogxK
U2 - 10.1109/CONTROL.2014.6915120
DO - 10.1109/CONTROL.2014.6915120
M3 - Conference contribution
AN - SCOPUS:84921527316
T3 - 2014 UKACC International Conference on Control, CONTROL 2014 - Proceedings
SP - 86
EP - 91
BT - 2014 UKACC International Conference on Control, CONTROL 2014 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 10th UKACC International Conference on Control, CONTROL 2014
Y2 - 9 July 2014 through 11 July 2014
ER -