System Parameter Identification Using the LEVY Method

This article introduces the LEVY method for system parameter identification to enhance understanding and mastery of the technique. The LEVY method is a widely used parameter identification approach that estimates process transfer functions by analyzing real-frequency and imaginary-frequency characteristics. This method enables deeper insights into system behavior and facilitates more precise control strategies. Implementation typically involves fitting frequency response data using least-squares optimization, where algorithms minimize the error between measured and model-predicted responses through matrix operations on complex frequency data. Additionally, we explore how the LEVY method contributes to stability analysis, allowing for necessary system adjustments and optimizations based on pole-zero configurations derived from identified parameters. Key computational steps include constructing frequency-weighted error functions and solving linear equations for transfer function coefficients. Through this guide, you will develop practical proficiency in applying the LEVY method to real-world engineering scenarios.