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

• 成果类型: Article
• 署名作者: Maheshwari, Chinmay; Srikant, Sukumar; Chatterjee, Debasish
• 署名单位: University of California System; University of California Berkeley; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3000979
• 发表日期: 2021
• 页码: 1895-1901
• 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

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.