Parameter identification using moment of velocity

Area of Science:

• Control Systems Engineering
• Signal Processing
• Dynamical Systems Analysis

Background:

• Second-order approximations are common for modeling physical systems.
• System identification frequently involves estimating complex-conjugate pole positions.
• Existing methods may have limitations, necessitating alternative approaches.

Purpose of the Study:

• To present a convenient and approximate technique for estimating complex-conjugate pole positions.
• To utilize the moment of velocity (MoV) for parameter identification in dynamical systems.
• To address the shortcomings of instantaneous frequency estimation.

Main Methods:

• The moment of velocity (MoV), a Hilbert transform-based signal processing tool, is employed.
• MoV is applied to the impulse response of a dynamical system.
• Estimation of damping coefficient and oscillation frequency is performed using MoV.

Main Results:

• The moment of velocity (MoV) is demonstrated as a viable tool for parameter identification.
• The technique provides an approximate estimation of complex-conjugate pole positions.
• Damping coefficient and oscillation frequency were successfully estimated via MoV of the impulse response.

Conclusions:

• The moment of velocity (MoV) offers a practical method for identifying parameters in second-order dynamical systems.
• This approach simplifies the estimation of complex-conjugate poles, crucial for system modeling.
• MoV proves effective in analyzing impulse responses for parameter extraction.