This paper discusses conditions on stability and stabilization of continuous T-S fuzzy systems. Stability analysis is derived via non-quadratic Lyapunov function technique and LMIs (Linear Matrix Inequalities) formulation to obtain an efficient solution. The nonquadratic Lyapunov function is built by inference of quadratic Lyapunov function of each local model. We show that stability condition ...

The main idea of the original parallel distributed compensation (PDC) method is to partition the dynamics of a nonlinear system into a number of linear subsystems, design a number of state feedback gains for each linear subsystem, and finally generate the overall state feedback gain by fuzzy blending of such gains. A new modification to the original PDC method is proposed here, so that, besides...

This paper presents a descriptor representation-based guaranteed cost design methodology for polynomial fuzzy systems. applies the representation presenting closed-loop system of model with parallel distributed compensation (PDC) based controller. By utility representation, control (GCC) analysis can utilize slack matrices obtaining less conservative results. The proposed GCC is presented as su...

Robotic manipulators are widely used in applications that require fast and precise motion. Such devices, however, prompt to nonlinear control issues due the flexibility joints friction motors within dynamics of their rigid part. To address these issues, Linear Matrix Inequalities (LMIs) Parallel Distributed Compensation (PDC) approaches implemented Takagy-Sugeno Fuzzy Model (T-SFM). We propose ...

In this paper a new Takagi–Sugeno (T–S) fuzzy model with nonlinear consequence (TSFMNC) is presented which can approximate a class of smooth nonlinear systems, nonlinear dynamical systems and nonlinear control systems. It is also proved that Takagi–Sugeno fuzzy controller with nonlinear consequence (TSFCNC) can be used to approximate a class of nonlinear state-feedback controllers using the so-...

This paper proposes a Takagi–Sugeno (T–S) fuzzy region model to relax the original one. Such switching concept has got rid of the complicated analysis of parallel distributed compensation (PDC). By mixing genetic algorithm (GA) and linear matrix inequality (LMI), we present a new hybrid approach about the static output feedback controller design. It is unlike other researches that involve abstr...

Singular system is a natural representation of dynamical systems. Guaranteed cost fuzzy control problem for a class of nonlinear singular system is addressed. The nonlinear singular system contains time-varying and norm-bounded uncertainties simultaneously in the matrices of states, delayed states and control inputs. Nonlinear singular system is formulated in the framework of Takagi-Sugeno (T-S...

In this paper, the stability of polynomial fuzzy-model-based (PFMB) observercontrol system is investigated via Lyapunov stability theory. The polynomial fuzzy observer with unmeasurable premise variables is designed to estimate the system states. Then the estimated system states are used for the state-feedback control of nonlinear systems. Although the consideration of the polynomial fuzzy mode...

Abstract The output feedback stabilization for discrete nonlinear systems is studied based on T-S fuzzy model in this paper. Firstly, a concept of the efficient mutual non-neighboring rule group (EMNNRG) is presented. Secondly, by using the scheme of parallel distributed compensation (PDC) and the piecewise fuzzy Lyapunov function, the stability of the closed-loop discrete T-S fuzzy control sys...

This paper considers the problem of robust guaranteed cost controller design for a class of nonlinear systems subject to time-varying and norm-bounded uncertainties in both state and input matrices. The Takagi-Sugeno (T-S) fuzzy model is employed to approximate the uncertain nonlinear system. Then, two different design procedures of optimal robust guaranteed cost controller are developed by usi...