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Self-error learning framework-based algorithm for parameter recovery of extended Wiener-Hammerstein systems subject
Haozhe Cao1, Lihua Li1, Yunduo Feng2
1School of National Security, People's Public Security University of China, Beijing 100038, PR China.
This study introduces a new method for estimating parameters in complex nonlinear systems with quantized data. The novel self-error learning framework improves accuracy and convergence for system identification.
Area of Science:
- Control Systems Engineering
- Nonlinear System Identification
- Signal Processing
Background:
- Accurate system identification is crucial for control and analysis.
- Hysteresis nonlinearity and quantized measurements pose significant challenges.
- Existing estimation algorithms may lack performance in complex scenarios.
Purpose of the Study:
- To propose a novel estimation scheme for extended Wiener-Hammerstein systems.
- To address parameter identification under hysteresis nonlinearity and quantized measurements.
- To enhance estimation performance compared to traditional methods.
Main Methods:
- Development of a self-error learning framework.
- Introduction of an adaptive filter for data extraction from contaminated signals.
- Derivation of an identification error expression using filtered data.
- Proposal of an online compensation estimation error variable.
- Design of a new adaptive law with adaptive recursive gain.
Main Results:
- Effective extraction of useful identification data from noisy measurements.
- Elimination of regression vector effects on convergence performance.
- Online verification of persistent excitation (PE) condition for regressors.
- Strict proof of estimator convergence under general PE conditions.
- Demonstrated effectiveness through two examples and a real-world case.
Conclusions:
- The proposed estimation scheme offers high-performance parameter identification for complex systems.
- The self-error learning framework effectively handles hysteresis nonlinearity and quantized data.
- The method shows significant improvements over classic estimation algorithms.
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