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This paper investigates the critical role of Direct Current to Direct Current (DC-DC) converters in satellite power systems, emphasizing the need for efficient and reliable energy conversion under dynamic space conditions. A novel Fuzzy Model Control (FMC) strategy is proposed for a quasi-Trans-Z-Source DC-DC boost converter, addressing the inherent challenges of nonlinear power dynamics and multiport energy flow management in space applications. The proposed approach enhances mode transitions, improves solar energy extraction from photovoltaic (PV) panels, and ensures stable voltage regulation under fluctuating load conditions. A comprehensive theoretical analysis of the circuit topology highlights its advantages over conventional boost converters, including continuous input current, higher voltage gain, and reduced passive component stress. Simulation and experimental results demonstrate that the proposed FMC achieves ± 1.5% voltage regulation accuracy, reduces current ripple by 28%, and improves transient response time by 35% compared to a conventional Proportional-Integral (PI) controller. The overall system efficiency reaches 94.7% under nominal conditions. Furthermore, the control strategy effectively manages constraints such as duty cycle limits and dynamic disturbances, confirming its real-time applicability for spaceborne platforms such as nanosatellites and CubeSats.