Variable parameter, fractional order, discrete, inertial transfer function models

Puntos clave

• The research aims to develop new discrete transfer function models for inertial plants using fractional order and variable parameters.
• Developed two models: one with a time variable quasi time constant and another with a variable fractional order.
• Applied variable fractional order backward difference to approximate the fractional operator.
• Described variable parameters using discrete, bounded functions.
• Conducted simulations to validate theoretical results.
• Demonstrated improved accuracy and stability in the proposed models compared to traditional constant parameter models.
• Theoretical predictions were corroborated by simulation outcomes, indicating robustness for modeling various physical phenomena.

Resumen