Optimal control - 1950 to 1985
Optimal control - 1950 to 1985
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DOI：
10.1109/37.506395
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发表时间：
1996-06-01
影响因子：
5.7
通讯作者：
Bryson, AE
中科院分区：
文献类型：
--
作者：
Bryson, AE
最优控制起源于世纪的变分法。变分法在世纪由欧拉和拉格朗日进一步发展，在世纪由勒让德、雅可比、汉密尔顿和维尔斯特拉斯进一步发展。在世纪早期，博尔扎和布利斯对这个问题进行了最后的严格研究。在1957年，贝尔曼提出了一个新的观点汉密尔顿雅可比理论，他所谓的动态规划，本质上是一个非线性反馈控制计划。McShane（1939）和Pontryagin（1962）将变分法扩展到处理控制变量不等式约束，后者阐述了他优雅的最大值原理。真正使最优控制理论得以应用的因素是数字计算机，它在20世纪50年代开始商业化。在20世纪80年代，研究开始，并继续今天，使最优反馈逻辑更强大的变化，在工厂和干扰模型;这项研究的一个要素是最坏情况和H ∞控制，这是发展出来的微分博弈论。
Optimal control had its origins in the calculus of variations in the 17th century. The calculus of variations was developed further in the 18th century by Euler and Lagrange and in the 19th century by Legendre, Jacobi, Hamilton, and Weierstrass. In the early 20th century, Bolza and Bliss put the final touches of rigor on the subject. In 1957, Bellman gave a new view of Hamilton-Jacobi theory which he called dynamic programming, essentially a nonlinear feedback control scheme. McShane (1939) and Pontryagin (1962) extended the calculus of variations to handle control variable inequality constraints, the latter enunciating his elegant maximum principle. The truly enabling element for use of optimal control theory was the digital computer, which became available commercially in the 1950s. In the 1980s research began, and continues today, on making optimal feedback logic more robust to variations in the plant and disturbance models; one element of this research is worst-case and H-infinity control, which developed out of differential game theory.