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Separable Synchronous Gradient-Based Iterative Algorithms for the Nonlinear ExpARX System
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DOI：10.1002/acs.3904.png)
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Abstract
En 中文
This article is aimed to study the parameter identification of the ExpARX system. To overcome the computational complexity associated with a large number of feature parameters, a parameter separation scheme based on the different features of the identification model is introduced. In terms of the phenomenon that the coupling parameters lead to the inability of algorithms, a separable synchronous interactive estimation method is introduced to eliminate the coupling parameters and perform parameter estimation in accordance with the hierarchical principle. For the purpose of achieving high-accuracy performance and reducing complexity, a separable synchronous gradient iterative algorithm is derived by means of gradient search. In order to improve the identification accuracy, a separable synchronous multi-innovation gradient iterative algorithm is proposed by introducing the multi-innovation identification theory. In order to improve the convergence speed, a separable synchronous multi-innovation conjugate gradient iterative algorithm is proposed by introducing the conjugate gradient theory. Finally, a simulation example and a real-life example of piezoelectric ceramics are used to verify the effectiveness of the proposed algorithm.
Keywords:
gradient iterative algorithm
hierarchical identification
multi-innovation identification
nonlinear ExpARX system
parameter estimation
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