A non-quadratic Lyapunov functional for H∞ control of nonlinear systems via Takagi–Sugeno models

R Marquez, TM Guerra, M Bernal… - Journal of the Franklin …, 2016 - Elsevier
This paper presents a novel non-quadratic Lyapunov functional with time delay for controller
design and H∞ disturbance rejection for nonlinear systems. Based on an exact Takagi …

Global non-quadratic D-stabilization of Takagi–Sugeno systems with piecewise continuous membership functions

A Cherifi, K Guelton, L Arcese, VJS Leite - Applied Mathematics and …, 2019 - Elsevier
This paper deals with the non-quadratic stabilization of Takagi–Sugeno (TS) models with D-
stability constraints. Based on a recently proposed Non-Quadratic Lyapunov Function …

Stability and stabilization of T–S fuzzy systems with time delay via Wirtinger-based double integral inequality

J Tan, S Dian, T Zhao, L Chen - Neurocomputing, 2018 - Elsevier
This paper concerns the issue of stabilization and stability analysis for Takagi–Sugeno (T–S)
fuzzy systems with time delay. A new type of Lyapunov–Krasovskii functional (LKF) …

A generalised integral polynomial Lyapunov function for nonlinear systems

T González, A Sala, M Bernal - Fuzzy Sets and Systems, 2019 - Elsevier
This work generalises the line-integral Lyapunov function in (Rhee & Won, 2006) for stability
analysis of continuous-time nonlinear models expressed as fuzzy systems. The referred …

Global non-quadratic Lyapunov-based stabilization of T–S fuzzy systems: A descriptor approach

N Vafamand - Journal of Vibration and Control, 2020 - journals.sagepub.com
This article studies the problem of global stability of the Takagi–Sugeno fuzzy systems
based on a novel descriptor-based non-quadratic Lyapunov function. A modified non …

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 …

Cancellation-based nonquadratic controller design for nonlinear systems via Takagi–Sugeno models

T Gonzalez, M Bernal, A Sala… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
This paper is concerned with nonquadratic conditions for stabilization of continuous-time
nonlinear systems via exact Takagi-Sugeno models and generalized fuzzy Lyapunov …

Further studies on stability and stabilization of T‐S fuzzy systems with time‐varying delays via fuzzy Lyapunov‐Krasovskii functional method

J Tan, S Dian, T Zhao - Asian Journal of Control, 2018 - Wiley Online Library
This paper discusses the issue of stability analysis and stabilization of Takagi‐Sugeno (T‐S)
fuzzy systems with time‐varying delays. By constructing an appropriate augmented fuzzy …

New conditions for stability and stabilizaion of Takagi-Sugeno fuzzy systems

J Yoneyama - 2017 11th Asian Control Conference (ASCC), 2017 - ieeexplore.ieee.org
The paper discusses the stability and stabilization of nonlinear systems based on Takagi-
Sugeno models, which are a well-known system that can represent a wide class of nonlinear …

Robust control for uncertain Takagi–Sugeno fuzzy systems with state and input time-varying delays

D Mao, Y Ma - Computational and Applied Mathematics, 2022 - Springer
This paper puts forward an augmented Lyapunov–Krasovskii functional (LKF) method to
investigate the robust H∞ control problem of uncertain Takagi–Sugeno fuzzy systems …