Stability and stabilization analysis of positive polynomial fuzzy systems with time delay considering piecewise membership functions

X Li, HK Lam, F Liu, X Zhao - … Transactions on Fuzzy Systems, 2016 - ieeexplore.ieee.org
… In this paper, we deal with the stability analysis of PPFMB control systems with time delay. A
polynomial fuzzy model is … We define the jth rule of the polynomial fuzzy controller as follows: …

Global non-quadratic D-stabilization of Takagi–Sugeno systems with piecewise continuous membership functions

A Cherifi, K Guelton, L Arcese, VJS Leite - Applied Mathematics and …, 2019 - Elsevier
… D -stability concept has been defined for linear systems with … nonlinear systems (ie the
considered class of TS fuzzy models… , the asymptotical stability of the nonlinear system can be …

Static collocated piecewise fuzzy control design of quasi-linear parabolic PDE systems subject to periodic boundary conditions

JW Wang, HX Li - IEEE Transactions on Fuzzy Systems, 2018 - ieeexplore.ieee.org
… This study deals with the problem of static collocated piecewise fuzzy control design for …
of piecewise control are considered: globally piecewise control and locally piecewise control…

Stable controller design for T–S fuzzy control systems with piecewise multi-linear interpolations into membership functions

P Wang, N Li - International Journal of Fuzzy Systems, 2019 - Springer
… We use the errors between the T–S fuzzy systems and the interpolated systems as … design
stable controllers for the fuzzy control systems based on the obtained systems with piecewise

Filter design for positive T–S fuzzy continuous-time systems with time delay using piecewise-linear membership functions

A Meng, HK Lam, F Liu, Y Yang - … on Fuzzy Systems, 2020 - ieeexplore.ieee.org
… given stable positive T–S fuzzy system with time delay, we aim to design a positive T–S fuzzy
… In this article, a positive T–S fuzzy filter was designed for the positive T–S fuzzy system with …

On the Local Quadratic Stability of T–S Fuzzy Systems in the Vicinity of the Origin

D Lee - Fuzzy Sets and Systems, 2024 - Elsevier
stability conditions based on the QLF. Both theoretical and numerical evidences are provided
to demonstrate that these quadratic stability … local exponential stability of TS fuzzy systems; …

Stabilization and robust stabilization of polynomial fuzzy systems: A piecewise polynomial Lyapunov function approach

AU Ashar, M Tanaka, K Tanaka - International Journal of Fuzzy Systems, 2018 - Springer
… This paper presents a piecewise polynomial Lyapunov function (PPLF) approach … polynomial
fuzzy systems that are a generalized form of the well-known Takagi–Sugeno fuzzy systems. …

Spatially piecewise fuzzy control design for sampled-data exponential stabilization of semilinear parabolic PDE systems

JW Wang, SH Tsai, HX Li… - … on Fuzzy Systems, 2018 - ieeexplore.ieee.org
This paper employs a Takagi-Sugeno (TS) fuzzy partial differential equation (PDE) model to
solve the problem of sampled-data exponential stabilization in the sense of spatial ∥·∥ ∞ …

Output feedback and stability analysis of positive polynomial fuzzy systems

A Meng, HK Lam, F Liu, C Zhang… - … Transactions on Systems …, 2020 - ieeexplore.ieee.org
… conclude that this is a positive polynomial fuzzy system. The range of x1 is … Stability and
stabilization analysis of positive polynomial fuzzy systems with time delay considering piecewise

Convex stability analysis of Mamdani-like fuzzy systems with singleton consequents

AT Nguyen, A Dehak, TM Guerra… - … on Fuzzy Systems, 2023 - ieeexplore.ieee.org
… to further reduce the stability conservatism. The stability of Mamdani-like fuzzy systems can
be … 2) We propose a novel piecewise MFs-dependent Lyapunov function for stability analysis. …