An extension of the minimum principle with application to switched linear systems
An extension of the minimum principle with application to switched linear systems
复制标题
最小原理的扩展及其在切换线性系统中的应用
DOI：
10.1109/acc.2006.1656583
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
R. Mukherjee
中科院分区：
文献类型：
--
作者：
Tuhin Das;R. Mukherjee
本文研究线性切换系统的最优切换问题。我们的方法的独特之处在于铸造的开关动作作为多个控制输入。这使我们能够应用庞特里亚金最小值原理的概念来解决最优控制问题。对开关顺序或开关次数没有限制，尽管后者受采样间隔的约束。这与基于搜索的算法形成对比，在基于搜索的算法中，先验地设置固定数量的切换。我们解决的优化问题，使用迭代方案，其中两点边值问题得到解决。仿真结果支持所提出的方法
In this paper we address the problem of optimal switching for switched linear systems. The uniqueness of our approach lies in casting the switching action as multiple control inputs. This allows us to apply the concept of Pontryagin's minimum principle in solving the optimal control problem. There is no restriction on the switching sequence or the number of switchings although the later is bound by the sampling interval. This is in contrast to search based algorithms where a fixed number of switchings is set a priori. We solve the optimization problem using an iterative scheme where a two point boundary value problem is solved. Simulation results are provided to support the proposed method