Hybrid Controller of Boost Converter with Optimal Steady-State and Transient Response

To address the insufficient dynamic performance of boost converters, this paper proposes a nonlinear control strategy employing a v<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">c</inf>-i<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">L</inf> state plane approach. The developed controller aims to minimize the settling time, reduce overshoot, and enhance robustness. It integrates inductor current ripple hysteresis control to maintain steady-state performance with minimum deviation load line constraint control for transient response optimization, effectively mitigating secondary regulation issues during the recovery process from transient to steady-state operation. Through in-depth analysis of state plane characteristics and existing controller state trajectories, the implementation mechanism of the proposed controller is comprehensively elucidated. Simulation and experimental verification on a 250-W Boost converter demonstrate remarkable performance improvements. Compared with time-optimal control, the proposed controller achieves 48.6% reduction in output voltage deviation, 16.7% decrease in peak inductor current, and shorter steady-state recovery time.