A review on stability analysis of continuous-time fuzzy-model-based control systems: From membership-function-independent to membership-function-dependent …

HK Lam - Engineering Applications of Artificial Intelligence, 2018 - Elsevier
This paper reviews the stability analysis of continuous-time fuzzy-model-based (FMB)
control systems, with emphasis on state-feedback control techniques, which is an essential …

[HTML][HTML] Review on computational methods for Lyapunov functions

P Giesl, S Hafstein - Discrete and Continuous Dynamical Systems …, 2015 - aimsciences.org
Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

Fuzzy observer-based repetitive tracking control for nonlinear systems

Y Wang, L Zheng, H Zhang… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This article is concerned with the periodic tracking control problem for nonlinear systems.
First, the Takagi-Sugeno (TS) fuzzy model is employed to describe the nonlinear control …

Mode-dependent event-triggered output control for switched T–S fuzzy systems with stochastic switching

C He, R Tang, HK Lam, J Cao… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
It is challenging to deal with the relationship between the triggering interval and the dwell
time when mode-pendent event-triggered control is considered for switched systems …

Stability and stabilization of continuous‐time switched systems: a multiple discontinuous convex Lyapunov function approach

R Wang, L Hou, G Zong, S Fei… - International Journal of …, 2019 - Wiley Online Library
In this paper, the problems of stability and stabilization are considered for a class of switched
linear systems with slow switching and fast switching. A multiple convex Lyapunov function …

An efficient approach for reducing the conservatism of LMI-based stability conditions for continuous-time T–S fuzzy systems

XP Xie, ZW Liu, XL Zhu - Fuzzy Sets and Systems, 2015 - Elsevier
This paper deals with reducing the conservatism of stability conditions for continuous-time T–
S fuzzy systems. Previous stability conditions are relaxed by further exploring the properties …

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 …

New stability conditions based on piecewise fuzzy Lyapunov functions and tensor product transformations

VCS Campos, FO Souza, LAB Tôrres… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
Improvements of recent stability conditions for continuous-time Takagi-Sugeno (TS) fuzzy
systems are proposed. The key idea is to bring together the so-called local transformations …

Dynamical analysis of T–S fuzzy financial systems: A sampled-data control approach

B Thangavel, S Srinivasan, T Kathamuthu… - International Journal of …, 2022 - Springer
This paper investigates the sampled-data stabilization of the Takagi–Sugano (T–S) fuzzy
system, focusing on the existence of extreme event (EE) and its application to the financial …

Actuator fault estimation based on a proportional-integral observer with nonquadratic Lyapunov functions

J Guzman, FR López-Estrada… - … Journal of Systems …, 2021 - Taylor & Francis
This work proposes a proportional-integral fault estimation observer for nonlinear systems
by means of convex structures. Unlike the traditional approaches that consider quadratic …