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In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
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Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically...
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A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Implementation Method and Bench Testing of Fractional-Order Biquadratic Transfer Function-Based Mechatronic ISD

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Summary
This summary is machine-generated.

This study presents a novel mechatronic inerter-spring-damper suspension using fractional-order networks. The method effectively reduces vehicle body acceleration and suspension space, enhancing overall suspension performance.

Keywords:
fractional-order biquadratic transfer functionimplementation methodmechatronic inertervehicle suspension

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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.