一类分数阶不确定非线性系统的状态估计

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-12-01 DOI:10.32523/2306-6172-2023-11-4-40-52

D. C. Huong

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引用次数: 0

摘要

研究了一类分数阶不确定非线性系统的鲁棒状态估计问题。这类分数阶不确定非线性系统比现有的一类系统更具有普遍性。首次提出了一种基于分数阶状态观测器的分数阶不确定非线性系统鲁棒状态估计方法。针对一类优化问题，给出了分数阶观测器存在的一个新条件。通过两个算例验证了该方法的有效性。

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STATE ESTIMATION FOR A CLASS OF FRACTIONAL-ORDER UNCERTAIN NONLINEAR SYSTEMS

The robust state estimation problem for a class of fractional-order uncertain non- linear systems is investigated in this paper. The class of fractional-order uncertain nonlinear systems is more general than the existing one in the literature. For the first time, a method based on a new fractional-order state observer is proposed to give robust state estimation of the fractional-order uncertain nonlinear systems. A new condition for the existence of the fractional-order observer in terms of an optimization problem is proposed. The effectiveness of the proposed method is demonstrated through two examples.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.