Clipping-off gradient algorithms to compute optimal controls with constrained magnitude
Clipping-off gradient algorithms to compute optimal controls with constrained magnitude
复制标题
用于计算具有约束幅度的最优控制的截断梯度算法
DOI：
10.1080/00207177408932734
复制
发表时间：
1974
影响因子：
2.1
通讯作者：
E. Davison
中科院分区：
文献类型：
--
作者：
V. Quintana;E. Davison
摘要本文提出了一种截断技术，当它与函数空间中的梯度方法结合使用时，可用于解决控制输入有幅度约束的非线性最优控制问题。所提出的裁剪梯度算法在数字计算机上易于实现，并且保持了一变分方法的大收敛范围。给出了几个数值例子，其中一个例子包含两个状态变量不等式约束和一个控制输入的大小约束
Abstract This paper presents a clipping-off technique which, when used in association with gradient methods in function space, can be used to solve non-linear optima control problems with magnitude constraint on the control inputs. The proposed clipping-off gradient algorithms are simple to implement on a digital computer and preserve the large range of convergence of first-variational methods. Several numerical examples are included, one of which contains two state-variable inequality constraints and a magnitude constraint on the control input