文章基本信息

标题：Rate Constrained Discrete-time Maximum Principle ⁎
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作者：Siddhartha Ganguly ; Souvik Das ; Debasish Chatterjee 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：19
页码：346-351
DOI：10.1016/j.ifacol.2021.11.101
语种：English
出版社：Elsevier
摘要：AbstractActuators in real-world systems operate under limited bandwidth and saturation constraints. Mathematically, these limitations manifest as certain types of constraints being imposed on the sequence of control action. While saturation constraints have been studied extensively, bandwidth limitations in the actuators have received very little attention in the control community. While an attempt has been made in the direction of incorporating frequency constraints at the synthesis stage, rate constraints on the control at the design stage has not been studied extensively in the regime of discrete-time. This article tries to fill in that gap by incorporating rate constraints on the control trajectories. We propose a new discrete-time Pontryagin maximum principle (PMP) with rate constraints being imposed on the control and derive a set of first order necessary conditions for optimality. As an illustration, the linear quadratic (LQ) optimal control problem under rate constraints has been considered.
关键词：KeywordsRate constraintsoptimal controlPontryagin maximum principle