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 …

Efficient LMI conditions for enhanced stabilization of discrete-time Takagi–Sugeno models via delayed nonquadratic Lyapunov functions

PHS Coutinho, J Lauber, M Bernal… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper is concerned with the reduction of conservatism on stabilization conditions of
discrete-time Takagi-Sugeno fuzzy models via delayed nonquadratic Lyapunov functions. A …

A model reconstruction approach for control synthesis of Takagi-Sugeno fuzzy systems

H Zheng, WB Xie, AT Nguyen, D Qu - Fuzzy Sets and Systems, 2023 - Elsevier
This paper investigates the control synthesis for Takagi-Sugeno (TS) fuzzy systems via a
model reconstruction approach. Firstly, based on a nonparallel distributed compensation …

Local stabilization of continuous-time T–S fuzzy systems with partly measurable premise variables and time-varying delay

Y Wu, J Dong - IEEE Transactions on Systems, Man, and …, 2018 - ieeexplore.ieee.org
This paper investigates the local stabilization problem for TS fuzzy systems with partly
measurable premise variables and time-varying delay. First, by using the measurable …

Inner-estimating domains of attraction for nonpolynomial systems with polynomial differential inclusions

S Wang, Z She, SS Ge - IEEE transactions on cybernetics, 2020 - ieeexplore.ieee.org
In this article, based on polynomial differential inclusions, we propose a heuristic iterative
approach for estimating the domains of attraction for nonpolynomial systems. First, we use …

Stability Analysis

M Bernal, A Sala, Z Lendek, TM Guerra - Analysis and Synthesis of …, 2022 - Springer
This chapter reviews various results concerning the stability analysis of nonlinear models
with convex structures such as Takagi–Sugeno (TS) or polynomial, in standard or descriptor …

Reduced-order multiple observer for Takagi–Sugeno systems with unknown inputs

M Lungu - ISA transactions, 2019 - Elsevier
The paper discusses a niche area problem—the design of reduced-order multiple observers
which can achieve the finite-time state reconstruction for Takagi–Sugeno multiple models …

Piecewise-Takagi–Sugeno asymptotically exact estimation of the domain of attraction of nonlinear systems

T González, A Sala, M Bernal, R Robles - Journal of the Franklin Institute, 2017 - Elsevier
This report generalises recent results on stability analysis and estimation of the domain of
attraction of nonlinear systems via exact piecewise affine Takagi–Sugeno models …

Modelling via convex structures

M Bernal, A Sala, Z Lendek, TM Guerra - Analysis and Synthesis of …, 2022 - Springer
This chapter presents a variety of nonlinear models related to the Takagi–Sugeno form (TS):
some of them are directly inspired from the fuzzy approach in which they first appeared; …

Design of reduced‐order multiple observers for uncertain systems with unknown inputs

M Lungu - Complexity, 2018 - Wiley Online Library
The paper presents the design of a new reduced‐order multiple observer for the estimation
of the state associated with Takagi‐Sugeno systems with unknown inputs, this being only …