Observer-based preview control for T-S fuzzy systems

IF 1.5 4区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Engineering Computations Pub Date : 2024-01-23 DOI:10.1108/ec-07-2023-0341

Li Li, Hui Ye, Xiaohua Meng

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引用次数: 0

Abstract

Purpose

Considering the unmeasurable states of the systems and the previewed reference signal, a novel fuzzy observer-based preview controller, which is a mixed controller of the fuzzy observer-based controller, fuzzy integrator and preview controller, is considered to address the tracking control problem.

Design/methodology/approach

The authors employ an augmentation technique to construct an augmented error system for uncertain T-S fuzzy discrete-time systems with time-varying uncertainties. Additionally, the authors obtain the corresponding linear matrix inequality (LMI) conditions for designing the preview controller.

Findings

This paper discusses the preview tracking problem for nonlinear systems. First, considering the unmeasurable states of the systems and the previewed reference signal, a novel fuzzy observer-based preview controller, which is a mixed controller of the fuzzy observer-based controller, fuzzy integrator, and preview controller, is considered to address the tracking control problem. Then, using the fuzzy Lyapunov functional with the linear matrix inequality (LMI) technique, new sufficient conditions for the asymptotic stability of the augmented system are derived by applying the LMI technique. The preview controller and fuzzy observer can be designed in one step. Finally, a numerical example is used to illustrate the effectiveness of the results.

Originality/value

An augmented error system is successfully constructed by the state augmentation approach. A novel preview controller is designed to address the tracking control problem. The preview controller and fuzzy observer can be designed in one step.

查看原文本刊更多论文

基于观测器的 T-S 模糊系统预览控制

目的考虑到系统和预览参考信号的不可测量状态，考虑采用一种新颖的基于模糊观测器的预览控制器来解决跟踪控制问题，该控制器是基于模糊观测器的控制器、模糊积分器和预览控制器的混合控制器。此外，作者还获得了设计预览控制器的相应线性矩阵不等式（LMI）条件。研究结果本文讨论了非线性系统的预览跟踪问题。首先，考虑到系统的不可测状态和预览参考信号，考虑了一种新颖的基于模糊观测器的预览控制器，即基于模糊观测器的控制器、模糊积分器和预览控制器的混合控制器，以解决跟踪控制问题。然后，利用模糊 Lyapunov 函数和线性矩阵不等式（LMI）技术，通过应用 LMI 技术推导出增强系统渐近稳定性的新充分条件。预览控制器和模糊观测器的设计可一步完成。原创性/价值通过状态增强方法成功构建了增强误差系统。设计了一种新型预览控制器来解决跟踪控制问题。预览控制器和模糊观测器可一步设计完成。

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

Engineering Computations 工程技术-工程：综合

CiteScore

3.40

自引率

6.20%

发文量

审稿时长

5 months

期刊介绍： The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm