This paper proposes a controller design for the electric pump of a deep-throttling rocket engine. The nonlinearity of the system is taken into consideration by analyzing the gap metric. Then, proportional-integral-derivative controller and gain-scheduling linear quadratic regulator are designed. Analyzing the amplitude- and phase-frequency characteristics as well as the pole-zero distribution of the system, the results show that the designed controllers can stabilize the linearized equations in incremental form at different operating points. This indicates that these two controllers are available for the original system in the whole range of working conditions and this is verified in the simulation. Meanwhile, the comparison between proportional-integral-derivative controller and gain-scheduling linear quadratic regulator is presented. It demonstrates that the proportional-integral-derivative controller is better at tracking both step and ramp signals but with worse control signals. It means that the proportional-integral-derivative controller seems less suitable for real use due to severe oscillations. Meanwhile, the parameter tuning of a proportional-integral-derivative controller depends on more extensive manual tuning. Therefore, the gain-scheduling linear quadratic regulator is preferred.

本文提出了一种用于节流火箭发动机电动泵的控制器设计。通过分析间隙度量来考虑系统的非线性。然后，设计了比例积分微分控制器和增益调度线性二次调节器。分析系统的幅度和相位频率特性以及零极点分布，结果表明，所设计的控制器可以使线性化方程在不同工作点处以增量形式稳定。这表明这两个控制器在整个工作条件范围内均可用于原始系统，并且已在仿真中进行了验证。同时，提出了比例积分微分控制器与增益调度线性二次调节器的比较。它表明比例积分微分控制器在跟踪阶跃信号和斜坡信号方面都比较好，但控制信号却较差。这意味着由于严重的振荡，比例积分微分控制器似乎不太适合实际使用。同时，比例积分微分控制器的参数调整取决于更广泛的手动调整。因此，增益调度线性二次调节器是优选的。