Stability and stabilization analysis of T-S fuzzy systems with distributed time-delay using state-feedback control

G. Bhuvaneshwari, M. Prakash, R. Rakkiyappan and A. Manivannan

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 205, issue C, 778-793

Abstract: In this study, a stability and stabilization analysis is discussed for Takagi–Sugeno (T-S) fuzzy systems with distributed time-delays. A fuzzy-based memory state-feedback control is designed to stabilize the delayed T-S fuzzy systems. A new Lyapunov–Krasovskii functional is constructed in an augmented form with information about the lower and upper bounds. Based on this functional, asymptotic stability of the closed-loop T-S fuzzy systems is achieved, and sufficient conditions are derived in linear matrix inequality form. In the numerical example section, comparative results are given with their simulation results to show the merits of the proposed approach and control scheme.

Keywords: Takagi–Sugeno fuzzy system; State-feedback control; Lyapunov–Krasovskii functional; Linear matrix inequality; Stability (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475422004050
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:205:y:2023:i:c:p:778-793

DOI: 10.1016/j.matcom.2022.10.004

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().