Recursive Identification of Piecewise-affine Systems based on Parameter Space Decomposition Theorem
نویسندگان
چکیده
The class of Basis Function Piecewise-affine (BPWA) functions is an ideal model structure for nonlinear and hybrid system identification. This paper proposes a parameter space decomposition theorem for BPWA functions. It is proved that any BPWA function has a decomposed parametric representation, in which the algebraic and geometrical parameters can be identified separately. Under the assumption of invariant geometrical structure, a recursive algorithm is proposed to identify the BWPA AutoRegressive Exogenous models from the input-output data. Two benchmark examples are illustrated to show that the proposed algorithm has much higher computational efficiency compared with the competing algorithms with the same identification accuracy.
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