状态约束下一类无限视界控制问题的双人博弈表示法

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS Mathematics of Control Signals and Systems Pub Date : 2024-03-16 DOI:10.1007/s00498-024-00380-x

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引用次数: 0

摘要

摘要本文研究了状态约束下一类无限视界控制问题的反馈规律。我们为这类控制问题提供了一种双人博弈表示法，假定其动力学和拉格朗日是依赖时间的，且集合约束仅仅是紧凑的。利用最近研究的无限视界环境下状态约束问题的可行性结果，我们将线性二次调节器问题的一些已知结果扩展到一类状态为非线性动态、控制为仿射的控制问题。在适当的可控性假设条件下，我们得到了反馈定律。

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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A two-player game representation for a class of infinite horizon control problems under state constraints

Abstract

In this paper, feedback laws for a class of infinite horizon control problems under state constraints are investigated. We provide a two-player game representation for such control problems assuming time-dependent dynamics and Lagrangian and the set constraints merely compact. Using viability results recently investigated for state constrained problems in an infinite horizon setting, we extend some known results for the linear-quadratic regulator problem to a class of control problems with nonlinear dynamics in the state and affine in the control. Feedback laws are obtained under suitable controllability assumptions.

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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.