A SOS based alternative to LMI approaches for non-quadratic stabilization of continuous-time Takagi-Sugeno fuzzy systems

CC Duong, K Guelton… - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
Nowadays, when dealing with non-quadratic controllers design for continuous-time Takagi-
Sugeno (TS) models, LMIs-based successive conditions become more and more complex …

Non-quadratic stabilization of Takagi-Sugeno models: a local point of view

M Bernal, TM Guerra, A Jaadari - International Conference on …, 2010 - ieeexplore.ieee.org
This paper pursues non-quadratic stabilization of continuous-time Takagi-Sugeno (TS)
models through a local approach first proposed only for stability analysis. This solution …

Further enhancement of stability and stabilisability margin for Takagi–Sugeno fuzzy systems

JW Ko, PG Park - IET control theory & applications, 2012 - IET
The authors consider in this study the problem of reducing conservatism in stability and
stabilisation margin of continuous-time Takagi–Sugeno (T–S) fuzzy systems, where the …

Some refinements for non quadratic stabilization of continuous TS models

TM Guerra, A Jaadari, J Pan… - 2011 IEEE International …, 2011 - ieeexplore.ieee.org
Quadratic stability/stabilization/estimation for Takagi-Sugeno models have now reached
maturity. Lots of results concerning performances (H 2, H∞, D-stability) for TS models with …

Stabilization of Takagi-Sugeno discrete models: towards an unification of the results

A Kruszewski, TM Guerra… - 2007 IEEE International …, 2007 - ieeexplore.ieee.org
This work deals with relaxed conditions for the stabilization of discrete-time Takagi-Sugeno
models. The paper is based on previous results which are the best known to our knowledge …

Stability and stabilization conditions for Takagi-Sugeno fuzzy model via polyhedral Lyapunov functions

W Esterhuizen, HO Wang, K Tanaka… - 2013 American Control …, 2013 - ieeexplore.ieee.org
Polyhedral Lyapunov functions (PLFs) are universal for establishing stability of Takagi-
Sugeno (TS) fuzzy models. In this paper, a stability theorem via PLFs is presented for TS …

Efficient LMI conditions for enhanced stabilization of discrete-time Takagi–Sugeno models via delayed nonquadratic Lyapunov functions

PHS Coutinho, J Lauber, M Bernal… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper is concerned with the reduction of conservatism on stabilization conditions of
discrete-time Takagi-Sugeno fuzzy models via delayed nonquadratic Lyapunov functions. A …

Analysis of the fuzzy controllability property and stabilization for a class of T–S fuzzy models

JA Meda-Campaña, J Rodríguez-Valdez… - … on Fuzzy Systems, 2014 - ieeexplore.ieee.org
In this paper, the controllability property for a class of Takagi-Sugeno (TS) fuzzy models is
analyzed, while a fully nonlinear stabilizer is designed in a practical way. It is shown that …

Local non-quadratic h-infinity control for continuous-time takagi-sugeno models

M Bernal, A Soto-Cota, J Cortez… - … on Fuzzy Systems …, 2011 - ieeexplore.ieee.org
This paper extends to H∞ performance design a recent local approach for non-quadratic
stabilization of continuous-time Takagi-Sugeno (TS) models based on the fuzzy Lyapunov …

Static output feedback controller design for Takagi-Sugeno systems-a fuzzy Lyapunov LMI approach

T Bouarar, K Guelton… - Proceedings of the 48h …, 2009 - ieeexplore.ieee.org
This paper deals with Takagi-Sugeno (TS) systems stabilization based on a static output
feedback (SOF) non-PDC control law. To investigate SOF stabilization, the closed loop …