Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function

LJ Elias, FA Faria, R Araujo, VA Oliveira - Information Sciences, 2021 - Elsevier
In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the
stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by …

Reducing the conservatism of LMI-based stabilisation conditions for TS fuzzy systems using fuzzy Lyapunov functions

FA Faria, GN Silva, VA Oliveira - International Journal of Systems …, 2013 - Taylor & Francis
In this article, the fuzzy Lyapunov function approach is considered for stabilising continuous-
time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability …

Switched control design for nonlinear systems using state feedback

LJ Elias, FA Faria, RFQ Magossi, VA Oliveira - Journal of Control …, 2022 - Springer
In this work, a state feedback design for a class of continuous-time nonlinear systems is
proposed. The nonlinear system is described by a Takagi–Sugeno fuzzy model and the …

[HTML][HTML] A fuzzy Lyapunov function approach for stabilization and H∞ control of switched TS fuzzy systems

FA Faria, MC Valentino, VA Oliveira - Applied Mathematical Modelling, 2014 - Elsevier
In this work, sufficient conditions for the existence of switching laws for stabilizing switched
TS fuzzy systems via a fuzzy Lyapunov function are proposed. The conditions are found by …

Nonuniform piecewise membership function approximation methods based robust tracking control design of T‐S fuzzy systems

WB Xie, BL Xu, C Peng, J Zhang - International Journal of …, 2022 - Wiley Online Library
For the stability analysis issue of a T‐S fuzzy system, improved piecewise membership
functions dependent approach is proposed to reduce conservatism. Based on a least …

Stability of nonlinear system using Takagi–Sugeno fuzzy models and hyper-rectangle of LMIs

JA Guedes, MCM Teixeira, R Cardim… - Journal of Control …, 2013 - Springer
This paper presents a theorem based on the hyper-rectangle defined by the closed set of the
time derivatives of the membership functions of Takagi–Sugeno fuzzy systems. This result is …

Fuzzy regional pole placement based on fuzzy Lyapunov functions

J Bai, R Lu, X Liu, A Xue, Z Shi - Neurocomputing, 2015 - Elsevier
This paper studies the regional pole placement problem for a class of T–S fuzzy systems.
Firstly, a definition for the fuzzy systems to be D stable is given from the viewpoint of …

Less conservative state feedback design conditions for switched Takagi-Sugeno fuzzy systems

FA Faria, LJ Elias, R Araujo… - 2019 18th European …, 2019 - ieeexplore.ieee.org
Relaxed conditions for switched Takagi-Sugeno fuzzy systems under state feedback are
proposed. The result explores two strategies to decrease the linear matrix inequalities (LMIs) …

Pole placement with LMI constraint of fuzzy descriptor system

R Lu, M Wang, J Bai, A Xue, H Zou - Journal of the Franklin Institute, 2015 - Elsevier
This paper investigates the pole placement problem for a class of fuzzy descriptor system.
Firstly, based on the fuzzy Lyapunov function approach and with the introduction of some …

Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions

LJ Elias, FA Faria, R Araujo, VA Oliveira - IFAC-PapersOnLine, 2020 - Elsevier
Exploring properties of membership functions, sufficient conditions based on linear matrix
inequalities (LMIs) for a existence of a switched polynomial Lyapunov function are …