Stable fuzzy controllers via LMI approach for non-linear systems described by type-2 T–S fuzzy model

HR Patel, VA Shah - … Journal of Intelligent Computing and Cybernetics, 2021 - emerald.com
Purpose The purpose of this paper is to stabilize the type-2 Takagi–Sugeno (T–S) fuzzy
systems with the sufficient and guaranteed stability conditions. The given conditions …

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 …

LMI-based stability analysis for fuzzy-model-based control systems using artificial T–S fuzzy model

HK Lam - IEEE Transactions on Fuzzy Systems, 2011 - ieeexplore.ieee.org
This paper investigates the stability of fuzzy-model-based (FMB) control systems. An
alternative stability-analysis approach using an artificial fuzzy system based on the …

LMI-based design of stabilizing fuzzy controllers for nonlinear systems described by Takagi–Sugeno fuzzy model

J Park, J Kim, D Park - Fuzzy sets and Systems, 2001 - Elsevier
There have been several recent studies concerning the stability of fuzzy control systems and
the synthesis of stabilizing fuzzy controllers. This paper reports on a related study of the …

Membership-dependent stability conditions for type-1 and interval type-2 T–S fuzzy systems

X Yang, HK Lam, L Wu - Fuzzy Sets and Systems, 2019 - Elsevier
This paper presents an idea to simplify and relax the stability conditions of Takagi–Sugeno
(T–S) fuzzy systems based on the membership function extrema 1. By considering the …

Novel membership-function-dependent stability condition for TS fuzzy systems

X Yang, HK Lam, L Wu - 2016 IEEE International Conference …, 2016 - ieeexplore.ieee.org
This paper presents an idea to further simplify and relax the linear matrix inequality (LMI)
stability conditions of Takagi-Sugeno (TS) fuzzy systems. By considering the distribution of …

Stability analysis of T–S fuzzy control systems by using set theory

J Dong, GH Yang, H Zhang - IEEE Transactions on Fuzzy …, 2014 - ieeexplore.ieee.org
This paper is concerned with the stability analysis for Takagi-Sugeno (TS) fuzzy control
systems. By exploiting the property of the structure of a fuzzy inference engine, an …

A new LMI-based approach to relaxed quadratic stabilization of TS fuzzy control systems

CH Fang, YS Liu, SW Kau, L Hong… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
This paper proposes a new quadratic stabilization condition for Takagi-Sugeno (TS) fuzzy
control systems. The condition is represented in the form of linear matrix inequalities (LMIs) …

Relaxed LMI-based stability conditions for Takagi–Sugeno fuzzy control systems using regional-membership-function-shape-dependent analysis approach

M Narimani, HK Lam - IEEE Transactions on Fuzzy Systems, 2009 - ieeexplore.ieee.org
This paper presents relaxed stability conditions for Takagi-Sugeno (TS) fuzzy-model-based
control systems. It is assumed that the stability conditions are represented by some …

[PDF][PDF] A new relaxed stability condition for Takagi-Sugeno fuzzy control systems using quadratic fuzzy Lyapunov functions and staircase membership functions

K Cao, XZ Gao, HK Lam, AV Vasilakos… - International Journal of …, 2014 - researchgate.net
Abstract 1 This paper presents a new relaxed stability condition for Takagi-Sugeno (TS)
fuzzy control systems. Using quadratic fuzzy Lyapunov functions (QFLFs), the stability of …