Most industrial processes are nonlinear, multivariable, with time delay, variable parameters and model uncertainty, subjected to disturbances. There exist methods that compensate the impact of these plant peculiarities but are developed for linear control systems. Most of them are based on the system frequency response since they give a compact and easy design solution. A novel frequency domain...

The paper presents a novel type of fuzzy sets, called time-Varying Fuzzy Sets (VFS). These fuzzy sets are based on the Gaussian membership functions, they are depended on the error and they are characterized by the displacement of the kernels to both right and left side of the universe of discourse, the two extremes kernels of the universe are fixed for all time. In this work we focus only on t...

The issue of constrained output feedback receding horizon control (RHC) for Takagi-Sugeno systems is studied in this paper. strategy developed through parameterizing the infinite moves as a non-parallel distributed compensation (non-PDC) law. parameter-dependent non-PDC controller optimized manner. extended non-quadratic Lyapunov function serves to guarantee robust stability augmented closed-lo...

In the present paper, a Takagi–Sugeno (TS) model is used to simultaneously represent the behaviour of a nonlinear system and its saturated actuators. With the TS formalism and the Lyapunov approach, stabilization conditions are expressed as linear matrix inequalities for different controller designs. Static parallel distributed compensation (PDC) state feedback and static and dynamic PDC output...

This paper is concerned with non-quadratic stabilization of continuous-time Takagi-Sugeno (TS) models. The well-known problem of handling time-derivatives of membership functions (MFs) as to obtain conditions in the form of linear matrix inequalities (LMIs) is overcome by reducing global goals to the estimation of a region of attraction. Instead of parallel distributed compensation (PDC), a non...

This paper presents a uniied systematic framework of dynamic controller synthesis for systems described by Takagi-Sugeno (T-S) model. The control laws are in the form of so-called parallel distributed compensation (PDC) introduced by the authors. This paper provides two results. First, we introduce the notion of dynamic PDC compensators and provide a set of suf-cient LMI conditions for the exis...

This paper develops a new design method of parallel-distributed-compensation (PDC) fuzzysliding-mode controller. This controller is then applied to control an ecological system. A new fuzzy-blending-sliding-surface based on the PDC concept is introduced. By using this sliding-surface, a PDC-based sliding-mode controller is designed for an ecological system which is a multi-input multioutput non...

in this paper, a new t-s fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. fuzzy controller is designed based on the parallel distributed compensation (pdc), and with a new lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...

In this paper, we present two results concerning the fuzzy modeling and control of nonlinear systems. The first result is on the approximation of smooth nonlinear dynamical systems using linear Takagi-Sugeno fuzzy models. The second result is on the approximation of smooth nonlinear state-feedback controllers using the the so-called parallel distributed compensation (PDC) controller. Both resul...

⎯The passivity and feedback passification problems of fuzzy systems with parameter uncertainties and impulse are first presented in this paper. Based on the parallel distributed compensation (PDC) technique, some passivity and passification conditions are proposed in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the correctness and effectiveness of our theoret...