动态模式自适应控制中基于参考调节器的约束执行
Constraint Enforcement via Reference Governor in Dynamic Mode Adaptive Control
- University of Maryland, Baltimore County（马里兰大学巴尔的摩县分校）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文将参考调节器（RG）与动态模式自适应控制（DMAC）结合，提出DMAC-RG框架，通过在线辨识的模型执行约束，经数值示例验证其有效性，但未提供相关理论保证。
AI中文摘要：
本文将参考调节器（Reference Governor, RG）与动态模式自适应控制（Dynamic Mode Adaptive Control, DMAC）相结合，在无需先验被控对象模型的情况下实现约束执行。DMAC通过测量得到的状态与输入数据在线辨识并更新离散时间模型，而参考调节器（RG）利用该辨识得到的模型而非真实被控对象动力学来预测闭环约束行为。由于预测模型会随DMAC的自适应过程发生变化，此前可行的参考可能变为不可行，经典的基于插值的RG可能无法将参考调整至恢复预测约束满足所需的方向。所提出的DMAC-RG框架转而直接在受约束参考空间中搜索，而非在插值因子上搜索。当存在可行参考时，选择受约束参考以跟踪期望指令，可对与此前应用参考的偏差施加可选惩罚；当有限时域可行集为空时，选择参考以最小化预测约束违反，同时保留相同的跟踪偏好。本工作为数值研究，未提供递归可行性、约束满足或闭环稳定性的理论保证。对线性系统、非线性范德波尔振子及部分状态测量下的高维伯格斯方程的数值示例表明，所提出的RG仅使用DMAC在线辨识的模型即可执行约束，无需获取真实被控对象动力学或完整系统状态。
英文摘要：
This paper integrates reference governance with Dynamic Mode Adaptive Control (DMAC) to enforce constraints without a prior plant model. DMAC identifies and updates a discrete-time model online from measured state and input data, and the reference governor (RG) uses this identified model, rather than the true plant dynamics, to predict constrained closed-loop behavior. Because the prediction model changes as DMAC adapts, a governed reference that was previously feasible may become infeasible, and the classical interpolation-based RG may be unable to move the reference in the direction required to recover predicted constraint satisfaction. The proposed DMAC-RG framework instead searches directly over the governed reference rather than over an interpolation factor. When feasible references exist, the governed reference is selected to track the desired command, with an optional penalty on deviation from the previously applied reference. When the finite-horizon feasible set is empty, the reference is selected to minimize predicted constraint violation while retaining the same tracking preference. This work is a numerical investigation and does not provide theoretical guarantees of recursive feasibility, constraint satisfaction, or closed- loop stability. Numerical examples on a linear system, a nonlinear Van der Pol oscillator, and a high-dimensional Burgers equation under partial-state measurement demonstrate that the proposed RG enforces constraints using only the model identified online by DMAC, without access to the true plant dynamics or the complete system state.
