This paper proposes a Takagi-Sugeno (TS) fuzzy approach for 2-dimensional of freedom overhead crane. Since this system is underactuated with nonlinear mathematical dynamic model, the requirement achieving accurate positioning while eliminating oscillation challenging issue. The sector decomposition taken into implementation which uses terms in model as scheduling variables to transform initial ...

Abstract: This paper studies and synthesis the parallel distribution compensation PDC controller for discretetime nonlinear systems that which is represented by Takagi-Seguno (T-S) fuzzy models. This work is based on two steps: the first one is modeling and identification of the studied systems by using the clustering method. In particular, we use Fuzzy C-Means (FCM) algorithm. In second one, w...

Considering some unmeasurable states, a fuzzy static output control problem of nonlinear stochastic systems is discussed in this paper. Based on modelling approach, Takagi–Sugeno (T–S) system, constructed by family differential equations and membership functions, applied to represent systems. Parallel distributed compensation (PDC) technology used construct the controller. A line-integral Lyapu...

Problem statement: The greenhouse has uncontrollable inputs that affect its climate, which arises the difficulty to regulate its inside temperature. The solution can be found using a multi-system approach like the Takagi-Sugeno System from which a design of a Parallel Distributed Compensation (PDC) controller is performed. However, a stability problem arises and was negotiatesd in general based...

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-...

In this article we investigate on robust mixed-sensitivity H∞ control for speed and torque control of inductional motor (IM). In order to simplify the design procedure the Takagi–Sugeno (T–S) fuzzy approach is introduced to solve the nonlinear model Problem. Loop-shaping methodology and Mixed-sensitivity problem are developed to formulate frequency-domain specifications. Then a regional pole-pl...

This paper focuses on the observer-based passive fuzzy controller design problem for uncertain Takagi-Sugeno (T-S) fuzzy models with time-delay and multiplicative noise. For stability analysis and synthesis, the sufficient conditions are derived via Lyapunov-krasovskii function and Itô’s formula in terms of Linear Matrix Inequalities (LMIs). In addition, the passivity theory is employed to disc...

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...

Jing Li David Niemann Hua O. Wang Department of Electrical and Computer Engineering Duke University, Durham, NC 27708, U.S.A Abstract This paper deals with control design for the motion control of high-rise/high-speed elevators. Two main problems, tracking and releveling, are treated in the framework of output regulation problem. By doing this, we design a single controller satisfying both perf...