On the designing of robust dynamic observers for continuous-time systems in T-S fuzzy model with interval time-varying delays

IF 1.4 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering Pub Date : 2024-07-25 DOI:10.1177/09596518241262059

Ghali Naami, Mohamed Ouahi, Abdelhamid Rabhi, Fernando Tadeo, Dainius Udris

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引用次数: 0

Abstract

Delay-dependent robust [Formula: see text] fuzzy dynamic observers (HFDOs) for continuous-time T-S fuzzy systems with interval time-varying delays, are studied here, considering the presence of exogenous disturbances. The proposed approach involves the creation of an augmented Lyapunov-Krasovskii functional through the utilization of an integral inequality based on the Wirtinger-based integral inequality and the extended reciprocally convex combination inequality. These techniques lead to delay-dependent conditions that are less conservative and that can be represented as a set of linear matrix inequalities, solvable using the YALMIP toolbox. Two detailed examples are presented at the end of the paper to illustrate the overall effectiveness of the proposed observer, which performs better than existing observers such as the [Formula: see text] fuzzy proportional observer (HFPO) and the [Formula: see text] fuzzy proportional-integral observer (HFPIO).

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论为具有区间时变延迟的 T-S 模糊模型连续时间系统设计鲁棒动态观测器

考虑到外生扰动的存在，本文研究了具有区间时变延迟的连续时间 T-S 模糊系统的延迟依赖鲁棒[公式：见正文]模糊动态观测器（HFDOs）。提出的方法包括通过利用基于 Wirtinger 积分不等式和扩展的互凸组合不等式的积分不等式，创建一个增强的 Lyapunov-Krasovskii 函数。这些技术使依赖于延迟的条件变得不那么保守，并可表示为一组线性矩阵不等式，可使用 YALMIP 工具箱求解。本文末尾介绍了两个详细示例，以说明所提出的观测器的整体有效性，其性能优于现有的观测器，如[公式：见正文]模糊比例观测器（HFPO）和[公式：见正文]模糊比例积分观测器（HFPIO）。

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

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 工程技术-自动化与控制系统

CiteScore

3.50

自引率

18.80%

发文量

审稿时长

4.2 months

期刊介绍： Systems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering refleSystems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering reflects this diversity by giving prominence to experimental application and industrial studies. "It is clear from the feedback we receive that the Journal is now recognised as one of the leaders in its field. We are particularly interested in highlighting experimental applications and industrial studies, but also new theoretical developments which are likely to provide the foundation for future applications. In 2009, we launched a new Series of "Forward Look" papers written by leading researchers and practitioners. These short articles are intended to be provocative and help to set the agenda for future developments. We continue to strive for fast decision times and minimum delays in the production processes." Professor Cliff Burrows - University of Bath, UK This journal is a member of the Committee on Publication Ethics (COPE).cts this diversity by giving prominence to experimental application and industrial studies.