A Novel PID-LQR Controller Scheme to Enhance the Performance of Full-Bridge Boost Converter

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Abstract

The paper introduces a novel control approach that integrates Proportional-Integral-Derivative (PID) control with a Linear Quadratic Regulator (LQR) for a Full-Bridge Boost Converter (FBBC). To enable effective linear control design, the FBBC system is linearized around its steady-state operating. The control architecture is structured into four cases: Case 1: PI-LQR Output Feedback, Case 2: PI-LQR State Feedback, Case 3: PID-LQR Output Feedback, and Case 4: PID-LQR State Feedback. Each case is evaluated for system responsiveness by examining output voltage stability, inductor current dynamics, and control signal characteristics. The analysis aims to identify the optimal and most reliable system performance under input voltage disturbance and load variation. The simulation results indicate that Case 3 (PID-LQR Output Feedback) consistently delivers the best performance, characterized by the shortest settling time, optimal control signal, and fast response to disturbances.

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