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Solving SIMO Nonlinear Systems With Euler Nonlinear Filter
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DOI：10.1109/TCSII.2021.3106348.png)
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Abstract
En 中文
This brief proposes a novel perspective for solving single input and multiple output (SIMO) nonlinear systems with multi-cost function adaptive algorithm. Based on Euler polynomials, the Euler filter with finite memory is proposed to construct a filter bank, which realizes the accurate identification of high-dimensional nonlinear systems. To improve the algorithm performance, a multi-cost function is proposed. Moreover, the mean-square stability and steady-state performance of the proposed method are rigorously analyzed. The typical FitzHugh-Nagumo (FHN) system, which fiercely exhibits chaotic dynamics, is considered for justifying the performance of this new algorithm. Numerical results highlight the solution accuracy via comparison with existing approaches.
Keywords:
Nonlinear systems
Filter banks
Steady-state
Nonlinear filters
Kernel
Circuits and systems
Nonlinear dynamical systems
Euler polynomial
nonlinear system
FHN system
nonlinear filter
multi-cost function
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