Averaging of a class of singularly perturbed control systems: a non-asymptotic result

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Mathematics of Control Signals and Systems Pub Date : 2024-03-13 DOI:10.1007/s00498-024-00382-9

引用次数: 0

Abstract

We study a singularly perturbed control system whose variables are decomposed into groups that change their values with rates of different orders of magnitude. We establish that the slow trajectories of this system are dense in the set of solutions of a certain differential inclusion and discuss an implication of this result for optimal control.

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一类奇异扰动控制系统的平均化：非渐近结果

摘要我们研究了一个奇异扰动控制系统，其变量被分解成以不同数量级的速率改变其值的组。我们确定该系统的慢速轨迹密集于某个微分包含的解集中，并讨论了这一结果对最优控制的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematics of Control Signals and Systems 工程技术-工程：电子与电气

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematics of Control, Signals, and Systems (MCSS) is an international journal devoted to mathematical control and system theory, including system theoretic aspects of signal processing. Its unique feature is its focus on mathematical system theory; it concentrates on the mathematical theory of systems with inputs and/or outputs and dynamics that are typically described by deterministic or stochastic ordinary or partial differential equations, differential algebraic equations or difference equations. Potential topics include, but are not limited to controllability, observability, and realization theory, stability theory of nonlinear systems, system identification, mathematical aspects of switched, hybrid, networked, and stochastic systems, and system theoretic aspects of optimal control and other controller design techniques. Application oriented papers are welcome if they contain a significant theoretical contribution.