Finite-Time Functional Interval Observer Design for Nonlinear Discrete-Time Switched Descriptor Systems

IF 3.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Robust and Nonlinear Control Pub Date : 2024-12-03 DOI:10.1002/rnc.7758

Junchao Zhang, Jun Huang, Xudong Zhao

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引用次数: 0

Abstract

In this article, the finite-time functional interval estimation method for nonlinear discrete-time switched descriptor systems with perturbations is investigated. To deal with the nonlinear terms in the switched system, the nonlinear error system is converted into a linear parameter varying form using the reformulated Lipschitz property. Firstly, a functional observer with finite-time $ℒ_{2}$ gain is constructed for the nonlinear switched descriptor system. Then, based on the proposed finite-time functional observer, the reachability analysis is applied to design a finite-time functional interval observer. Finally, the superiority and effectiveness of the interval estimation method presented in this paper are verified through a simulation of the circuit system.

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非线性离散切换广义系统的有限时间泛函区间观测器设计

研究了具有摄动的非线性离散切换广义系统的有限时间泛函区间估计方法。为了处理开关系统中的非线性项，利用重新表述的Lipschitz性质将非线性误差系统转换成线性参数变化形式。首先是有限时间函数观测器 $$ {\mathcal{L}}_2 $$ 构造了非线性开关广义系统的增益。然后，基于所提出的有限时间泛函观测器，应用可达性分析设计了有限时间泛函区间观测器。最后，通过电路系统的仿真验证了本文提出的区间估计方法的优越性和有效性。

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

International Journal of Robust and Nonlinear Control 工程技术-工程：电子与电气

CiteScore

6.70

自引率

20.50%

发文量

505

审稿时长

2.7 months

期刊介绍： Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.