具有输入饱和及多重输入延迟的控制系统的全局稳定性

IF 2.2 3区 工程技术 Q2 ENGINEERING, MECHANICAL
Actuators Pub Date : 2024-08-09 DOI:10.3390/act13080306
Jiawei Wu, Bing Li, Jiashuai Li, Mingze Li, Binyu Yang
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引用次数: 0

摘要

本文研究了具有输入饱和和多输入延迟的控制系统的全局稳定问题,并提出了一种设计非线性稳定控制律的新方法。首先,基于 Luenberger 的典型分解,多输入延迟系统被转化为一系列具有单输入和输入饱和的线性时延系统。然而,对于转换后的系统,每个子系统都与其他子系统耦合。因此,我们采用递归的思想,为每个子系统构建一个具有时延的特殊状态变换,并将其转换为一个状态变量和输入变量都具有时延的线性系统。针对转换系统,设计了一个具有级联饱和控制功能的非线性控制器,该控制器包含一些自由参数。通过在线调整自由参数,提高了控制器的控制性能。同时,建立了一个不太保守的稳定性条件,以确保闭环系统的动态性能。最后,通过数值模拟和在航天器交会系统中的实际应用,验证了所提方法的有效性和优越性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Global Stabilization of Control Systems with Input Saturation and Multiple Input Delays
In this paper, the global stabilization problem of control systems with input saturation and multiple input delays is studied, and a new method is proposed to design nonlinear stabilization control laws. First, based on Luenberger’s canonical decomposition, the multiple-input delay system is transformed into a series of linear time-delay systems with single inputs and input saturation. However, for the converted system, each subsystem is coupled to the others. Therefore, the idea of recursion is adopted to construct a special state transformation with time delay for each subsystem and convert it into a linear system with time delay for both state variables and input variables. For the conversion system, a nonlinear controller with cascade saturation control is designed, and the controller includes some free parameters. The control performance of the controller is improved by adjusting the free parameters online. At the same time, a less conservative stability condition is established to ensure the dynamic performance of the closed-loop system. Finally, the effectiveness and superiority of the proposed method are verified by numerical simulation and practical applications in a spacecraft rendezvous system.
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来源期刊
Actuators
Actuators Mathematics-Control and Optimization
CiteScore
3.90
自引率
15.40%
发文量
315
审稿时长
11 weeks
期刊介绍: Actuators (ISSN 2076-0825; CODEN: ACTUC3) is an international open access journal on the science and technology of actuators and control systems published quarterly online by MDPI.
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