Further studies on relaxed stabilization conditions for discrete-time two-dimension Takagi–Sugeno fuzzy systems

DW Ding, X Li, Y Yin, XP Xie - Information Sciences, 2012 - Elsevier
This paper investigates the stabilization problem of discrete-time two-dimension (2-D)
Takagi–Sugeno (T–S) fuzzy systems. Based on a novel non-parallel distributed …

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 …

New relaxed stabilization conditions for discrete‐time Takagi–Sugeno fuzzy control systems

L Kong, J Yuan - Asian Journal of Control, 2020 - Wiley Online Library
This paper develops relaxed stabilization conditions for discrete‐time Takagi–Sugeno fuzzy
control systems based on the extended nonquadratic Lyapunov function, the nonparallel …

Further improvement of periodic control approach for relaxed stabilization condition of discrete-time Takagi–Sugeno fuzzy systems

DH Lee, JB Park, YH Joo - Fuzzy Sets and Systems, 2011 - Elsevier
In this paper, we present a new stabilization condition for discrete-time Takagi–Sugeno (T–
S) fuzzy systems. To this end, the previously developed periodic nonparallel distributed …

Extended LMI representatives for stability and stabilization of discrete‐time Takagi‐Sugeno fuzzy systems

H Zhang, M Liu, Y Shi, J Sheng - Optimal Control Applications …, 2014 - Wiley Online Library
In this paper, we study the stability conditions and stabilization problem of Takagi‐Sugeno
systems under the discrete‐time framework. By introducing slack matrices, we obtain …

Relaxed stabilization conditions for continuous-time Takagi–Sugeno fuzzy control systems

XH Chang, GH Yang - Information Sciences, 2010 - Elsevier
This paper deals with the stabilization of continuous-time Takagi–Sugeno (T–S) fuzzy
control systems. Based on fuzzy Lyapunov functions and nonparallel distributed …

LMI-based approach for output-feedback stabilization for discrete-time Takagi--Sugeno systems

M Nachidi, A Benzaouia, F Tadeo… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
Static output-feedback stabilizing controllers for nonlinear systems represented by discrete-
time Takagi--Sugeno fuzzy models are studied. The main result concerns the stabilization …

Control synthesis of discrete-time T–S fuzzy systems based on a novel non-PDC control scheme

X Xie, H Ma, Y Zhao, DW Ding… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
This paper proposes relaxed stabilization conditions of discrete-time nonlinear systems in
the Takagi–Sugeno (T–S) fuzzy form. By using the algebraic property of fuzzy membership …

Poly‐quadratic stability of discrete‐time nonlinear systems in Takagi‐Sugeno's form

B Ding - Asian Journal of Control, 2009 - Wiley Online Library
This paper studies poly‐quadratic stability of nonlinear systems represented by a Takagi‐
Sugeno (T‐S) discrete fuzzy model. A system is poly‐quadratically stable when its stability …

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 …