Precision and Stability in Hydrostatic Transmissions with Robust <i>H</i><sub>∞</sub> Control Under Parametric Uncertainties

Hydrostatic transmissions are essential in applications demanding variable torque and speed, such as mining and agricultural machinery, due to their compact design, high power-to-weight ratio, and efficient variable speed control. Despite these advantages, their inherent nonlinearities and susceptib...

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Bibliographic Details
Main Authors: Santosh Kr. Mishra, Gyan Wrat, Prabhat Ranjan, Joseph T. Jose, Jayanta Das
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Journal of Experimental and Theoretical Analyses
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Online Access:https://www.mdpi.com/2813-4648/3/2/14
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Summary:Hydrostatic transmissions are essential in applications demanding variable torque and speed, such as mining and agricultural machinery, due to their compact design, high power-to-weight ratio, and efficient variable speed control. Despite these advantages, their inherent nonlinearities and susceptibility to parametric uncertainties pose significant challenges for precise motion control. This study presents a comparative analysis of classical PID and robust H-infinity controllers for regulating the speed of hydraulic motors under varying torsional loads. A linearized uncertain system model is developed using upper Linear Fractional Transformations (LFTs) to capture key parametric uncertainties. A simplified H-infinity controller is designed to robustly manage system dynamics, particularly addressing phase lags induced by uncertain loads. Simulation results demonstrate that the H-infinity controller offers superior performance over the PID controller in terms of stability, disturbance rejection, and robustness to load fluctuations. This work contributes a practically viable robust control solution for improving the reliability and precision of electro-hydraulic systems, particularly in demanding, real-world environments.
ISSN:2813-4648