TY - GEN
T1 - Multiple Model Adaptive Control (MMAC) for nonlinear systems with nonlinear parameterization
AU - Chen, Weitian
AU - Anderson, Brian D.O.
PY - 2009
Y1 - 2009
N2 - A novel dwell-time-switching based multiple model adaptive control (MMAC) scheme is proposed for the state feedback stabilization problem of a class of general nonlinear systems with nonlinear parameterization. One major contribution is that it has advanced Morse's dwell-timeswitching from linear systems to a class of nonlinear systems. Another significant contribution is that it combines the idea of monitoring the adequacy of candidate models (in terms of their estimation performances) in most MMAC schemes with the idea of monitoring the performance of candidate controllers in unfalsified control. Moreover, sufficient conditions for closed-loop stability are established for the proposed dwell-time-switching based MMAC scheme when applied to the considered class of nonlinear systems. To fulfil those sufficient conditions, emphasis has been put on the design of multiple estimators, candidate controllers and monitoring signals. The carefully designed estimators, candidate controllers, and monitoring signals enable us to derive a finite time switching result and provide a characterization on the maximum number of switchings for the dwell-time-switching algorithm proposed. In order to show how the general design of our dwell-times-witching based MMAC scheme can be applied to a particular nonlinear system, a constructive design based on back-stepping is provided for the adaptive control problem for a special class of nonlinearly parameterized systems, which can satisfy all the sufficient conditions to ensure closed-loop stability.
AB - A novel dwell-time-switching based multiple model adaptive control (MMAC) scheme is proposed for the state feedback stabilization problem of a class of general nonlinear systems with nonlinear parameterization. One major contribution is that it has advanced Morse's dwell-timeswitching from linear systems to a class of nonlinear systems. Another significant contribution is that it combines the idea of monitoring the adequacy of candidate models (in terms of their estimation performances) in most MMAC schemes with the idea of monitoring the performance of candidate controllers in unfalsified control. Moreover, sufficient conditions for closed-loop stability are established for the proposed dwell-time-switching based MMAC scheme when applied to the considered class of nonlinear systems. To fulfil those sufficient conditions, emphasis has been put on the design of multiple estimators, candidate controllers and monitoring signals. The carefully designed estimators, candidate controllers, and monitoring signals enable us to derive a finite time switching result and provide a characterization on the maximum number of switchings for the dwell-time-switching algorithm proposed. In order to show how the general design of our dwell-times-witching based MMAC scheme can be applied to a particular nonlinear system, a constructive design based on back-stepping is provided for the adaptive control problem for a special class of nonlinearly parameterized systems, which can satisfy all the sufficient conditions to ensure closed-loop stability.
UR - http://www.scopus.com/inward/record.url?scp=77950805751&partnerID=8YFLogxK
U2 - 10.1109/CDC.2009.5400290
DO - 10.1109/CDC.2009.5400290
M3 - Conference contribution
SN - 978-1-4244-3871-6
SP - 7669
EP - 7674
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -