Back to Search
Start Over
Improved stabilization condition of delayed T-S fuzzy systems via an extended quadratic function negative-determination lemma.
- Source :
-
Chaos, Solitons & Fractals . Oct2023:Part 2, Vol. 175, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- This paper focuses on the stability and stabilization problems of continuous-time T-S fuzzy systems (TSFS) with variable delay. A new augmented Lyapunov–Krasovskii functional (LKF) is established by combining the negative quadratic term with the alterable delay-product-integral term. To further improve the results, an extended quadratic function negative-determination (QFND) lemma is proposed to deal with δ (t) -related quadratic function in the LKF derivative. Subsequently, based on the parallel distributed compensation (PDC) technique, a bounded delay correlation stabilization criterion is derived. Finally, the proposed methods are applied to a numerical example and an inverted pendulum system to verify their effectiveness and superiority. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09600779
- Volume :
- 175
- Database :
- Academic Search Index
- Journal :
- Chaos, Solitons & Fractals
- Publication Type :
- Periodical
- Accession number :
- 172776420
- Full Text :
- https://doi.org/10.1016/j.chaos.2023.114055