A simple proof of the discrete time geometric Pontryagin maximum principle on smooth manifolds

被引：5

作者：

Assif, Mishal P. K. ^{[1
]}

Chatterjee, Debasish ^{[2
]}

Banavar, Ravi ^{[2
]}

机构：

[1] Univ Illinois, Dept Elect & Comp Engn, 306 N Wright St, Urbana, IL 61801 USA

[2] Indian Inst Technol, Syst & Control Engn, Mumbai 400076, Maharashtra, India

来源：

AUTOMATICA | 2020年 / 114卷

关键词：

Optimal control; Pontryagin maximum principle; Smooth manifolds;

D O I：

10.1016/j.automatica.2019.108791

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish a geometric Pontryagin maximum principle for discrete time optimal control problems on finite dimensional smooth manifolds under the following three types of constraints: a) constraints on the states pointwise in time, b) constraints on the control actions pointwise in time, c) constraints on the frequency spectrum of the optimal control trajectories. Our proof follows, in spirit, the path to establish geometric versions of the Pontryagin maximum principle on smooth manifolds indicated in Chang (2011) in the context of continuous-time optimal control. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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