Optimal Multiplexing of Discrete-Time Constrained Control Systems on Matrix Lie Groups

被引：0

作者：

Maheshwari, Chinmay ^{[1
]}

Srikant, Sukumar ^{[2
]}

Chatterjee, Debasish ^{[2
]}

机构：

[1] Univ Calif Berkeley, EECS, Berkeley, CA 94720 USA

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

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 04期

关键词：

Multiplexing; Optimal control; Aerospace electronics; Satellites; Job shop scheduling; Optimal scheduling; Constrained control; control multiplexing; differential geometry; discrete-time pontryagin maximum principle;

D O I：

10.1109/TAC.2020.3000979

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, we study a constrained optimal control problem for an ensemble of control systems in a centralized setting. Each system evolves on a matrix Lie group, and must satisfy given state and control action constraints pointwise in time. In addition, the controller must be shared between the plants in the sense that at any time instant the control signal may be sent to only one plant while minimizing a given objective function. We provide first-order necessary conditions for optimality in the form of a Pontryagin maximum principle for such optimal control problems.

引用

页码：1895 / 1901

页数：7

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