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Identification of MIMO nonlinear system based on Volterra kernel matrices

Fang Yangwang, Wei Ruixuan, Licheng Jiao, Pan Jin

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Abstract

Volterra series representation for general MIMO nonlinear systems is discussed, and the existence conditions of Volterra kernel matrices are given and proved. Two identification methods of Volterra kernel matrices, which are the random response method and the pulse response method, are presented. The calculating formula of Volterra kernel matrices by using input and output signals is presented. Finally, the methods are validated by a simulation example.

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What this paper is about

Volterra series representation for general MIMO nonlinear systems is discussed, and the existence conditions of Volterra kernel matrices are given and proved. Two identification methods of Volterra kernel matrices, which are the random response method and the pulse response method, are presented. The calculating formula of Volterra kernel matrices by using input and output signals is presented. Finally, the methods are validated by a simulation example.

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Available abstract

Volterra series representation for general MIMO nonlinear systems is discussed, and the existence conditions of Volterra kernel matrices are given and proved. Two identification methods of Volterra kernel matrices, which are the random response method and the pulse response method, are presented. The calculating formula of Volterra kernel matrices by using input and output signals is presented. Finally, the methods are validated by a simulation example.

Key concepts: Volterra series, Kernel (algebra), Nonlinear system, Mathematics, Applied mathematics, Nonlinear system identification, MIMO, Representation (politics)

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