Nonquadratic controller and observer design for continuous TS models: a discrete-inspired solution

T González, R Márquez, M Bernal… - International Journal of …, 2016 - Springer
This work deals with controller and observer design for continuous-time Takagi–Sugeno
models based on a new nonquadratic Lyapunov function. The proposed technique intends …

Decoupled nested LMI conditions for Takagi-Sugeno observer design

R Márquez, TM Guerra, A Kruszewski… - IFAC Proceedings Volumes, 2014 - Elsevier
This work extends recent investigations on control design of continuous-time nonlinear
models to non-quadratic observer design. The models under consideration are exactly …

Nonquadratic stabilization of continuous-time systems in the Takagi-Sugeno form

M Bernal, P Hušek, V Kučera - Kybernetika, 2006 - dml.cz
This paper presents a relaxed scheme for controller synthesis of continuous-time systems in
the Takagi-Sugeno form, based on non-quadratic Lyapunov functions and a non-PDC …

Controller and observer designs for discrete TS models using an efficient Lyapunov function

H Kerkeni, TM Guerra, J Lauber - International Conference on …, 2010 - ieeexplore.ieee.org
The present work deals with the design of control and observer for discrete Takagi-Sugeno
fuzzy models. It is well-known that quadratic synthesis for discrete TS models and/or LPV …

Asymptotically necessary and sufficient conditions for Takagi–Sugeno models using generalized non-quadratic parameter-dependent controller design

R Márquez, TM Guerra, M Bernal, A Kruszewski - Fuzzy Sets and Systems, 2017 - Elsevier
Results in this paper generalize recent approaches on non-quadratic controller design for
Takagi–Sugeno models based on a matrix transformation. Conditions thus obtained depend …

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 …

An efficient Lyapunov function for discrete T–S models: observer design

TM Guerra, H Kerkeni, J Lauber… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
This paper deals with the design of a new observer synthesis for discrete Takagi-Sugeno
(TS) fuzzy models. It is well established that quadratic synthesis for discrete TS models …

Towards a global nonquadratic controller design for nonlinear systems via robust differentiators and Takagi-Sugeno models

B Aguiar, R Márquez, M Bernal - 2015 IEEE International …, 2015 - ieeexplore.ieee.org
This paper presents a novel solution for nonquadratic controller design of nonlinear systems
via Takagi-Sugeno models; it employs a first-order Levant's robust differentiator for finite …

New controllers and new designs for continuous-time Takagi-Sugeno models

A Jaadari, TM Guerra, A Sala, M Bernal… - … Conference on Fuzzy …, 2012 - ieeexplore.ieee.org
This work presents a new non-PDC controller design based on different Lyapunov functions
for continuous-time Takagi-Sugeno models. Based on this new control law and on Finsler's …

Some refinements on stability analysis and stabilization of second order ts models using line-integral lyapunov functions

K Guelton - IFAC Proceedings Volumes, 2014 - Elsevier
This paper deals with new conditions for stability analysis and controller design for Takagi-
Sugeno (TS) models in the non-quadratic framework. The aim of this study is to provide …