发表机构
U.S. Department of Energy Idaho National Laboratory（美国能源部爱达荷国家实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在PUR-1池式反应堆非线性模型上评估MRAC-LQR自适应控制，考虑执行机构约束，通过采样分解分离匹配自适应与残差，数值结果验证了标称设计在参数变化下仍能实现紧密对齐响应，并揭示了理论极限。
AI 中文摘要
自适应控制对于预期在动态电力与非电力需求下以广泛自动化或有限自主性可预测运行的核反应堆具有吸引力，即使反应堆和执行机构特性偏离其标称值。然而，标准自适应控制结果假设固定的匹配动力学以及按计算值施加的输入。在本工作中，我们在普渡大学一号反应堆（PUR-1）的非线性点动力学模型上评估了一种结合线性二次调节的最近提出的模型参考自适应控制（MRAC-LQR）构造，该模型包含移动物理参考、非线性控制棒价值、速率和行程限制、量化、死区以及可选的仅功率状态重构。一种精确的采样分解将匹配自适应与观测器、指令处理、执行机构实现、独立反应性和不匹配动力学残差分开。数值结果强调了兼容的参考轨迹、电厂参数变化、对意外控制棒运动的响应以及执行机构占空比。在采样的电厂中，一个不变的标称设计通过自适应计算的、依赖电厂的执行历史产生了紧密对齐的响应，这既说明了在池式反应堆规模下自适应的前提，也说明了其理论极限，该规模可支持后续实验验证以及向更高后果核应用的推进。
英文摘要
Adaptive control is attractive for nuclear reactors expected to operate predictably with extensive automation or bounded autonomy under dynamic electric and nonelectric demands, even as reactor and actuator characteristics depart from their nominal values. Standard adaptive control results, however, assume fixed matched dynamics and an input applied as computed. In this work we evaluate a recent model reference adaptive control with linear quadratic regulation (MRAC-LQR) construction on the nonlinear point-kinetics model of Purdue University Reactor Number One (PUR-1), with a moving physical reference, nonlinear rod worth, rate and travel limits, quantization, deadband, and optional power-only state reconstruction. An exact sampled decomposition separates matched adaptation from observer, command processing, actuator realization, independent reactivity, and unmatched-dynamics residuals. Numerical results emphasize compatible reference trajectories, plant parameter variation, response to unexpected rod motion, and actuator duty. Across sampled plants, one unchanged nominal design yields closely aligned responses through adaptively calculated, plant-dependent actuation histories, illustrating both the premise and the theory limits of adaptation at a pool-reactor scale that can support follow-on experimental verification and progression toward higher-consequence nuclear applications.
