Implementation Method and Bench Testing of Fractional-Order Biquadratic Transfer Function-Based Mechatronic ISD...

Area of Science:

• Mechatronics
• Control Systems Engineering
• Electrical Network Synthesis

Background:

• Implementing fractional-order electrical networks presents significant physical realization challenges.
• Existing mechatronic inerter-spring-damper (ISD) suspension models require further investigation into parameter perturbation effects.

Purpose of the Study:

• To propose a practical implementation method for a mechatronic ISD suspension utilizing a fractional-order biquadratic transfer function.
• To systematically analyze the impact of parameter perturbations on the dynamic performance of mechatronic ISD suspensions.

Main Methods:

• Positive real synthesis was used to design an optimal five-element passive network for the fractional-order biquadratic electrical network.
• The Oustaloup filter approximation algorithm was employed to derive integer-order equivalents for fractional-order electrical components.
• Frequency-domain and time-domain simulations were conducted to evaluate the approximation effectiveness.

Main Results:

• Bench testing demonstrated significant performance improvements compared to traditional passive suspensions.
• Root mean square (RMS) reductions were observed in vehicle body acceleration (7.86%), suspension working space (17.45%), and dynamic tire load (2.26%) at 20 m/s under random road excitation.
• The proposed method effectively realized fractional-order transfer functions in a physical suspension system.

Conclusions:

• The research provides a viable engineering solution for implementing fractional-order transfer functions in vehicle suspensions.
• This work establishes a novel technical pathway for substantially enhancing suspension performance through fractional-order network implementation.
• The findings offer both theoretical insights and practical applications for advanced suspension design.