Research on Nonlinear Vector Control Algorithm Based on Bistable Potential Well Phase Transition Mechanism

针对传统飞行器在极速制动、高过载转弯及极端扰动下依赖机械舵面与硬阈值控制所 带来的响应延迟与突变风险,本文提出了一种基于双稳态势阱相变机制的新型非线性矢量 控制算法。该算法将飞行器系统状态抽象为阴阳双场耦合的"活秤砣"序参量 K,并通过引 入迟滞回环算子与反向共振制动机制,实现了飞行器在"正常重力(阳场)"、"动态悬停 (过渡区)"与"反斥推力(阴场)"之间的平滑相变。基于 C++的轻量级动力学仿真表 明,该算法能够实现等效推力的动态调制,完成无工质矢量喷射、极限加速及精准悬停的 闭环控制,为未来新型空间推进与飞控系统设计提供了可验证的数学参考与工程范式。 Abstract Traditional aircraft relying on mechanical control surfaces and hard-threshold control schemes suffer from response latency and discontinuous state transitions under extreme conditions such as hypersonic braking, high-load maneuvering, and severe disturbances. This paper proposes a novel nonlinear vector control algorithm based on a bistable potential well phase transition mechanism. The algorithm abstracts the aircraft system state into a yin-yang coupled "living counterweight" order parameter K, and through the introduction of a loop operator and a reverse resonance braking mechanism, achieves smooth phase transitions between the "normal gravity (Yang field)", "dynamic hover (transition zone)", and "repulsiv thrust (Yin field)". Lightweight C++ dynamic simulations demonstrate that the algorithm ca achieve dynamic modulation of equivalent thrust, completing closed-loop control o propellantless vector jetting, extreme acceleration, and precision hovering, providing a verifiabl mathematical reference and engineering paradigm for future novel space propulsion and fligh control system design