Stability analysis and design of Takagi–Sugeno fuzzy systems

CS Ting - Information Sciences, 2006 - Elsevier
This work presents stable composite control criteria for multivariable Takagi–Sugeno (T–S)
fuzzy systems. On the basis of the linear matrix inequality (LMI) control strategy and …

Delayed nonquadratic L2-stabilization of continuous-time nonlinear Takagi–Sugeno fuzzy models

RF Araujo, PHS Coutinho, AT Nguyen, RM Palhares - Information Sciences, 2021 - Elsevier
This work deals with the design of fuzzy controllers for stabilization of continuous-time
nonlinear systems subject to L 2 disturbances, which are represented by nonlinear Takagi …

Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi–Sugeno's form

BC Ding, HX Sun, P Yang - Automatica, 2006 - Elsevier
This paper further studies stabilization of nonlinear systems represented by a Takagi–
Sugeno (T–S) discrete fuzzy model. By extending a nonquadratic Lyapunov function and …

An analytical study on structure, stability and design of general nonlinear Takagi–Sugeno fuzzy control systems

H Ying - Automatica, 1998 - Elsevier
In this paper, we first study analytical structure of general nonlinear Takagi-Sugeno (TS, for
short) fuzzy controllers, then establish a condition for analytically determining asymptotic …

A sum-of-squares approach to modeling and control of nonlinear dynamical systems with polynomial fuzzy systems

K Tanaka, H Yoshida, H Ohtake… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
This paper presents a sum of squares (SOS) approach for modeling and control of nonlinear
dynamical systems using polynomial fuzzy systems. The proposed SOS-based framework …

Membership function-dependent local controller design for T–S fuzzy systems

WB Xie, H Zheng, MY Li, CK Ahn - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
For the conservatism issue of state-feedback control for Takagi–Sugeno (T–S) fuzzy
systems, a novel local controller design method and stability analysis approach are …

Robust fuzzy control of nonlinear systems with parametric uncertainties

HJ Lee, JB Park, G Chen - IEEE Transactions on fuzzy systems, 2001 - ieeexplore.ieee.org
Addresses the robust fuzzy control problem for nonlinear systems in the presence of
parametric uncertainties. The Takagi-Sugeno (TS) fuzzy model is adopted for fuzzy …

Variable-gain controllers for nonlinear systems using the T–S fuzzy model

PP Kumar, I Kar, L Behera - IEEE Transactions on Systems …, 2006 - ieeexplore.ieee.org
This correspondence proposes two novel control schemes with variable state-feedback gain
to stabilize a Takagi–Sugeno (T–S) fuzzy system. The T–S fuzzy model is expressed as a …

LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi–Sugeno's form

TM Guerra, L Vermeiren - Automatica, 2004 - Elsevier
This paper presents the stabilization analysis for a class of nonlinear systems that are
represented by a Takagi and Sugeno (TS) discrete fuzzy model (Takagi and Sugeno IEEE …

Improvement on nonquadratic stabilization of discrete-time Takagi–Sugeno fuzzy systems: Multiple-parameterization approach

DH Lee, JB Park, YH Joo - IEEE Transactions on Fuzzy …, 2010 - ieeexplore.ieee.org
This paper presents the relaxed nonquadratic stabilization conditions of discrete-time Takagi-
Sugeno (TS) fuzzy systems. To do this, we propose a new fuzzy controller and Lyapunov …