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...

Abstract In this paper, a stability control approach of flexible joint robot (FJR) based T-S fuzzy model using fuzzy Lyapunov function is proposed. First, the Takagi and Sugeno (T-S) fuzzy model is employed to approximate the flexible joint robot, then a fuzzy controller is developed based on parallel distributed compensation principle (PDC). The non-quadratic stability conditions for the flexi...

this article presents a fuzzy robust mixed - sensitivity gain - scheduled h controller based on the loop -shaping methodology for a class of mimo uncertain nonlinear time - varying systems. in order to design this controller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by takagi and sugeno’s (t - s) fuzzy approach. both loop - shaping methodology and...

This paper presents robust H∞ fuzzy controllers for a class of T-S fuzzy bilinear systems (FBSs) with time-delay. First, the parallel distributed compensation (PDC) method is adopted to design a fuzzy controller which ensures the robust asymptotic stability of the FBS with time-delay and guarantees an H∞ norm bound constraint on disturbance attenuation. Based on the Schur complement and some va...

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...

In this paper piecewise quadratic stability of closed-loop affine Takagi-Sugeno (ATS) fuzzy systems with linear state-space submodels in the consequent of rules is addressed. The control law is assumed in the form of Parallel Distributed Compensation (PDC). Stability analysis of the closed-loop system is based on piecewise quadratic Lyapunov functions. This technique reduces conservatism of cla...

This paper discusses multi-objective controller synthesis for the fuzzy T-S (Takagi-Sugeno) model. Various performance specifications are included. Both the state-feedback controller and the dynamic feedback controller are presented. They are in the format of a PDC (parallel distributed compensation) controller which is essentially a nonlinear controller. The controller synthesis is formulated ...