Online identification of continuous bimodal and trimodal piecewise affine systems
Q.T. Le (TU Delft - Team Bart De Schutter, Quy Nhon University)
A.J.J. van den Boom (TU Delft - Team Bart De Schutter)
Simone Baldi (TU Delft - Team Bart De Schutter)
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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.