V2EX optimal-control

Optimal Control

Definition / 定义

最优控制:控制理论与应用数学中的一个领域,研究如何在给定系统动力学与约束条件下,选择控制输入(如力、油门、药量等),使某个性能指标(如时间最短、能耗最小、成本最低、误差最小)达到最优。也常用于工程、经济学与机器人等场景。(该术语在不同学科中还有更具体的变体与表述。)

Pronunciation / 发音

/ptml kntrol/

Examples / 例句

Optimal control can reduce energy use in industrial processes.
最优控制可以降低工业流程中的能耗。

The rocket’s guidance system solves an optimal-control problem to minimize fuel while meeting safety constraints.
火箭的制导系统会求解一个最优控制问题,在满足安全约束的同时尽量减少燃料消耗。

Etymology / 词源

optimal 来自拉丁语 optimus(“最好的”),表示“最优的”;control 源自法语与拉丁语传统,核心含义是“支配、调节、控制”。二者组合成专业术语 optimal control,在20世纪中期随着现代控制理论、航天工程与运筹学的发展而广泛定型,用来描述“在约束下实现最优目标的控制策略”。

Related Words / 相关词

Literary Works / 文学作品(著作)

  • Applied Optimal Control: Optimization, Estimation, and Control(Arthur E. Bryson Jr. & Yu-Chi Ho)
  • Optimal Control Theory: An Introduction(Donald E. Kirk)
  • Dynamic Programming and Optimal Control(Dimitri P. Bertsekas)
  • Calculus of Variations and Optimal Control Theory: A Concise Introduction(Daniel Liberzon)
  • Optimal Control and Estimation(Robert F. Stengel)
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