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基于定量反馈理论的不确定多变量系统自抗扰控制设计与参数整定

Design and parameter tuning of active disturbance rejection control for uncertain multivariable systems via quantitative feedback theory.

作者信息

Cheng Yun, Fan Yunlei, Zhang Pengcheng, Yuan Yinlong, Li Junhong

机构信息

School of Electrical Engineering, Nantong University, Nantong 226019, China.

School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China.

出版信息

ISA Trans. 2023 Oct;141:288-302. doi: 10.1016/j.isatra.2023.06.025. Epub 2023 Jun 28.

DOI:10.1016/j.isatra.2023.06.025
PMID:37442680
Abstract

This paper proposes a new parameter tuning approach for active disturbance rejection control (ADRC) of multi-input multi-output (MIMO) uncertain systems. Firstly, decentralized ADRC (DADRC), dynamic decoupling ADRC (DD-ADRC), and inverted decoupling ADRC (ID-ADRC) are introduced. Three control schemes are uniformly transformed into a two-degree-of-freedom (2DOF) equivalent structure for analysis. Then, a parameter tuning approach based on multivariable quantitative feedback theory (QFT) is proposed to achieve the desired performance. Considering the coupling effects, the QFT performance specifications are reformulated to reduce the conservatism in design, and the closed-loop stability conditions are studied to establish the robust stability performance specification. Finally, the control schemes and the proposed tuning approach are applied to a heat integrated distillation column (HIDiC) process. The effectiveness of the parameter tuning approach is verified, and the respective advantages of the ADRC control schemes are analyzed in parameter tuning and simulations.

摘要

本文针对多输入多输出(MIMO)不确定系统的自抗扰控制(ADRC)提出了一种新的参数整定方法。首先,介绍了分散自抗扰控制(DADRC)、动态解耦自抗扰控制(DD - ADRC)和逆解耦自抗扰控制(ID - ADRC)。将三种控制方案统一变换为二自由度(2DOF)等效结构进行分析。然后,提出了一种基于多变量定量反馈理论(QFT)的参数整定方法以实现期望性能。考虑耦合效应,重新制定QFT性能指标以降低设计中的保守性,并研究闭环稳定性条件以建立鲁棒稳定性性能指标。最后,将控制方案和所提出的整定方法应用于热集成精馏塔(HIDiC)过程。验证了参数整定方法的有效性,并在参数整定和仿真中分析了自抗扰控制方案各自的优点。

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