New delay-dependent finite-time stabilization of Takagi-Sugeno fuzzy approaches for delayed nonlinear systems

被引：0

作者：

El Fezazi, Nabil ^{[1
,2
]}

Fahim, Mohamed ^{[3
]}

Idrissi, Said ^{[4
]}

Farkous, Rashid ^{[2
]}

Alvarez, Teresa ^{[5
]}

Tissir, El Houssaine ^{[2
]}

机构：

[1] Ibn Zohr Univ, Higher Sch Technol, Dakhla, Morocco

[2] Sidi Mohammed Ben Abdellah Univ, Fac Sci Dhar El Mehraz, Dept Phys, LISAC Lab, Fes, Morocco

[3] Ibn Tofail Univ, Comp Sci Res Lab, Kenitra, Morocco

[4] Mohammed V Univ, Higher Sch Technol Sale, Rabat, Morocco

[5] Univ Valladolid, Ind Engn Sch, Dr Mergelina S N, Valladolid 47005, Spain

来源：

ASIAN JOURNAL OF CONTROL | 2024年

关键词：

finite-time stability; nonlinear systems; parallel distributed compensation; T-S fuzzy approach; H-INFINITY CONTROL; STABILITY;

D O I：

10.1002/asjc.3509

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the finite-time stability and stabilization of nonlinear systems with delays is studied, via a Takagi-Sugeno approach. By using a novel Lyapunov-Krasovskii functional and introducing some fuzzy free-weighting matrices, sufficient conditions are derived, for bounded and differentiable time-varying delays in terms of an upper bound of the delay derivatives. Then, we achieve closed-loop stabilization in finite time through an efficient parallel distributed compensation design. The sufficient conditions are formulated as linear matrix inequalities to achieve the desired performance. Finally, the proposed methodology is applied to various case studies, highlighting its significance.

引用

页数：16

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