Online identification of continuous bimodal and trimodal piecewise affine systems

Conference paper (2016)

Authors

Q.T. Le , Quy Nhon University

A.J.J. van den Boom

S. Baldi

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

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

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Published Date

2016

Language

English

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Abstract

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.

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