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Optimizing Pole Placement Strategies for a Higher-Order DC-DC Buck Converter: A Comprehensive Evaluation

DOI: 10.4236/jpee.2025.131004, PP. 47-69

Keywords: DC-DC converter, Integral Time Absolute Error (ITAE), Integral Absolute Error (IAE), Integral Square Error (ISE), Integral Time Squared Error (ITSE), Linear Quadratic Regulator (LQR), Particle Swarm Optimization (PSO)

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Abstract:

This paper explores pole placement techniques for the 4th order C1 DC-to-DC Buck converter focusing on optimizing various performance metrics. Refinements were made to existing ITAE (Integral of Time-weighted Absolute Error) polynomials. Additionally, metrics such as IAE (Integral Absolute Error), ISE (Integral of Square Error), ITSE (Integral of Time Squared Error), a MaxMin metric as well as LQR (Linear Quadratic Regulator) were evaluated. PSO (Particle Swarm Optimization) was employed for metric optimization. Time domain response to a step disturbance input was evaluated. The design which optimized the ISE metric proved to be the best performing, followed by IAE and MaxMin (with equivalent results) and then LQR.

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