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

X Li, HK Lam, F Liu, X Zhao - IEEE Transactions on Fuzzy …, 2016 - ieeexplore.ieee.org
This paper is concerned with the stability analysis of positive polynomial-fuzzy-model-based
control systems with time delay. Each of the polynomial fuzzy model and the polynomial …

Event-triggered positive filter design for positive polynomial fuzzy systems via premise integration and membership-function-dependent methods

M Han, G Guo, HK Lam, B Han… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article focuses on the design of the positive fuzzy filter with an event-triggered
mechanism for a positive polynomial fuzzy-model-based system. The main objective is to …

Stabilization for Polynomial Fuzzy Time-Delay System: A Sum-of-Squares Approach

SH Tsai, CY Jen - IEEE Transactions on Fuzzy Systems, 2018 - ieeexplore.ieee.org
The H∞ stabilization problem for polynomial fuzzy time-delay system (PFTDS) is
investigated in this paper. First, a polynomial fuzzy controller is proposed to stabilize the …

Static output feedback stabilization of positive polynomial fuzzy systems

A Meng, HK Lam, Y Yu, X Li… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper deals with the static output feedback stabilization of positive polynomial fuzzy-
model-based control systems. The positive polynomial fuzzy model does not need to share …

Output feedback and stability analysis of positive polynomial fuzzy systems

A Meng, HK Lam, F Liu, C Zhang… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article investigates the polynomial fuzzy output feedback (PFOF) control synthesis
problem for positive polynomial fuzzy systems. When the states of a positive system cannot …

Stability analysis of positive polynomial fuzzy-model-based control systems with time delay under imperfect premise matching

X Li, HK Lam, G Song, F Liu - IEEE Transactions on Fuzzy …, 2017 - ieeexplore.ieee.org
This paper deals with the stability and positivity analysis of polynomial-fuzzy-model-based
(PFMB) control systems with time delay, which is formed by a polynomial fuzzy model and a …

Stabilization analysis and impulsive controller design for positive interval type-2 polynomial fuzzy systems

M Han, HK Lam, F Liu, Y Tang, B Han… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article investigates the polynomial fuzzy impulsive control problem for positive
nonlinear systems subject to parameter uncertainties. The positive nonlinear systems are …

Estimation of domain of attraction for discrete-time positive interval type-2 polynomial fuzzy systems with input saturation

M Han, HK Lam, F Liu, Y Tang… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article focuses on expanding the estimation of the domain of attraction (DOA) for
discrete-time positive nonlinear systems subject to input saturation and parameter …

Model-based control and stability analysis of discrete-time polynomial fuzzy systems with time delay and positivity constraints

X Li, K Mehran - IEEE Transactions on Fuzzy Systems, 2019 - ieeexplore.ieee.org
This paper proposes a novel Lyapunov stabilization analysis of discrete-time polynomial-
fuzzy-model-based control systems with time delay under positivity constraint. The …

A Novel Convexification Method for Control Synthesis Analysis of Continuous-Time Saturated Positive Polynomial Fuzzy Systems Under Imperfect Premise Matching

M Han, Y Huang, G Guo, HK Lam, Z Wang… - International Journal of …, 2024 - Springer
This paper investigates the polynomial fuzzy controller design methodology for continuous-
time positive polynomial fuzzy (PPF) systems to enlarge their feasible area. An improved …