LMI Relaxations for Quadratic Stabilization of Guaranteed Cost Control of T–S Fuzzy Systems

B Pang, Y Cai, W Zhang - International Journal of Fuzzy Systems, 2017 - Springer
… , fuzzy system and fuzzy control play significant roles. An important class of fuzzy system is
TakagiSugeno (T–S) fuzzy system … : based on the relaxed stabilization condition in [28], [29] …

Improved LMI conditions for local quadratic stabilization of constrained TakagiSugeno fuzzy systems

AT Nguyen, R Márquez, TM Guerra… - … Journal of Fuzzy Systems, 2017 - Springer
… the most employed in fuzzy control framework and also in … This paper presents a new
LMI-based control method for … paper are independent to the relaxation methods in the sense that …

LMI-based control synthesis of constrained TakagiSugeno fuzzy systems subject to L2 or L∞ disturbances

AT Nguyen, T Laurain, R Palhares, J Lauber… - Neurocomputing, 2016 - Elsevier
method has been efficiently exploited to study the stability … T–S fuzzy control framework,
namely quadratic, piecewise and … The relaxation result in Lemma 2 is extended from the one in […

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
… Moreover, the design of the robust fuzzy controller is studied … The firstly LMI-based T–S
fuzzy approaches were … to provide relaxed stability analysis and controller design conditions, …

Novel stabilization criteria for T–S fuzzy systems with affine matched membership functions

S Lee - IEEE Transactions on Fuzzy Systems, 2018 - ieeexplore.ieee.org
quadratic Lyapunov function for the T–S fuzzy system with … Wang, “Relaxed stabilization
criterion for TS fuzzy systems by … “LMI-based stability and performance design of fuzzy control

LMI-based Stability Analysis of Discrete-time Quadratic TS Fuzzy Systems

L Ren, H Zhang, X Ban, X Huang - 2018 37th Chinese Control …, 2018 - ieeexplore.ieee.org
… Within the framework of the TS fuzzy systems, numerous fuzzy control issues, such as
stability analysis [4–7], controllerRelaxed stability conditions for polynomial-fuzzy-model-based …

TS fuzzy controller of maglev system based on relaxed stabilization conditions

M Khan, ASA Mahmoud - … Engineering: Proceedings of the Fifth ICIECE …, 2018 - Springer
… of quadratic Lyapunov function for stability conditions. Despite the efficiency of LMI-based
approach… researches on relaxed criteria and stability conditions for TS fuzzy system have been …

Relaxed stabilization conditions for TS fuzzy systems with optimal upper bounds for the time derivative of fuzzy Lyapunov functions

AZN Lazarini, MCM Teixeira, MDS Jean… - IEEE …, 2021 - ieeexplore.ieee.org
… of fuzzy logic was the Takagi-Sugeno (TS) fuzzy systems [4]. With … study of relaxed conditions
for designing LMI-based controllers is … , when compared with the results based on quadratic

Relaxed Model Predictive Control of TS Fuzzy Systems Via a New Switching-Type Homogeneous Polynomial Technique

W You, X Xie, H Wang, J Xia… - … on Fuzzy Systems, 2024 - ieeexplore.ieee.org
… , the LMI-based MPC method has been extensively applied in TS fuzzy control of complex
nonlinear systems. [27] … with time-varying delays via quadratic fuzzy Lyapunov matrix,” IEEE …

A new T–S fuzzy model based robust output-feedback stabilizing controller for fractional-order systems

R El Bachtiri, M Yagoubi, R Chaibi - … Journal of Dynamics and Control, 2022 - Springer
control strategies such as Mamdani fuzzy logic control [11]. … ] where the control is designed
via an LMI based approach. … Based on the T–S model, relaxed stabilization conditions are …