Online identification of continuous bimodal and trimodal piecewise affine systems

Online identification of continuous bimodal and trimodal piecewise affine systems

Le, Q.T. (TU Delft Team Bart De Schutter; Quy Nhon University)
van den Boom, A.J.J. (TU Delft Team Bart De Schutter)
Baldi, S. (TU Delft Team Bart De Schutter)

Rantzer, Anders (editor)
Bagterp Jørgensen, John (editor)
Stoustrup, Jakob (editor)

2016

This paper investigates the identification of continuous piecewise affine systems in state space form with jointly unknown partition and subsystem matrices. The partition of the system is generated by the so-called centers. By representing continuous piecewise affine systems in the max-form and using a recursive Gauss-Newton algorithm for a suitable cost function, we derive adaptive laws to online estimate parameters including both subsystem matrices and centers. The effectiveness of the proposed approach is demonstrated with a numerical example.

Cost function
Partitioning algorithms
Control systems
Differential equations
Mathematical model
Convergence
Europe

http://resolver.tudelft.nl/uuid:ce0d6916-9f92-4827-9da1-7e0dbc17ee0c

https://doi.org/10.1109/ECC.2016.7810432

IEEE, Piscataway, NJ, USA

978-1-5090-2591-6

Proceedings 2016 European Control Conference (ECC)

2016 European Control Conference, ECC 2016, 2016-06-29 → 2016-07-01, Aalborg, Denmark

Accepted Author Manuscript

Institutional Repository

conference paper

© 2016 Q.T. Le, A.J.J. van den Boom, S. Baldi