Optimal Control Design of LVAD based on LSVF

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Abstract

This study presents an optimal control strategy for Left Ventricular Assist Devices (LVADs) using the Linear State Variable Feedback (LSVF) method. LVADs play a vital role in supporting patients with severe heart failure by maintaining adequate blood flow and pressure. An LSVF-based optimal controller is developed using a state-space model of the cardiovascular LVAD system. The objective is to regulate hemodynamic variables, such as pump flow and aortic pressure, with minimal control effort while ensuring system stability and rapid transient response. The controller gain matrix is obtained by solving the Riccati equation, minimizing a quadratic cost function to achieve effective state-feedback control. Simulation results demonstrate that the proposed LSVF controller significantly enhances system performance and dynamic behaviour.

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