In this paper, a robust adaptive fuzzy control algorithm based on the generalized fuzzy hyperbolic model (GFHM) for nonlinear system with uncertainties is proposed. The proposed control is a smooth control with no chattering phenomena, which consists of two control terms. One is the certainty equivalent control and the other is the compensated control, which is obtained by bounded estimation in...

This paper investigates the problem of passive delayed static output feedback control for a class of fuzzy systems. The system is described by a statespace Takagi–Sugeno (T-S) fuzzy model with additive delays and interval parameter uncertainties. The aim is to design a fuzzy delayed static output feedback controller which ensures the closed-loop system is passive for all admissible uncertaintie...

In this paper, robust state feedback and observer-based fuzzy controllers are developed for uncertain T-S fuzzy systems with input delay. By using a generalized Lyapunov function and introducing a parameterized model transformation with free weighting matrices, the less conservative robust stabilization conditions are given for both state measured and state unmeasured cases, which are formulate...

The problem of robust control for uncertain discrete-time Takagi and Sugeno (T-S) fuzzy networked control systems (NCSs) is investigated in this paper subject to state quantization. By taking into consideration network induced delays and packet dropouts, an improved model of network-based control is developed. A less conservative delay-dependent stability condition for the closed NCSs is derive...

This paper presents a process to obtain the solution (or flux) of a fuzzy delay system and to determine the fuzzy expected curve for the HIV (human immunodeficiency virus) when HIV-positive individuals receive antiretroviral therapy. This delay is defined as the time between the infection of a CD4+ type T-lymphocyte cell by the virus and the production of new virus particles. The intracellular ...

This paper deals with the problem of robust stabilization for uncertain discrete stochastic fuzzy systems with time-varying delays. The uncertainties are time-varying but norm-bounded. The purpose is to design a state feedback fuzzy controller such that the resulting closed-loop system is robustly stochastically stable. Based on Takagi-Sugeno (T-S) fuzzy model, a delay-dependent sucient conditi...

Abstract This paper investigates the problem of H2/H∞ control for discrete fuzzy time delay systems based on Takaqi-Sugeno(T-S) model. The purpose is to design state feedback fuzzy controllers such that the resulting closed-loop system is not only uniformly stable but also satisfied with H2/H∞ performance index. Sufficient conditions for the solvability of the problem are obtained by utilizing ...

Generalized H2 (GH2) stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities (LMIs). The interactions among the fuzzy subsystems are considered. Therefore, the propo...

in this paper, we prove that every metric line in the poincare ball model of hyperbolic geometry is exactly a classical line of itself. we also proved nonexistence of periodic lines in the poincare ball model of hyperbolic geometry.