Robots are increasingly performing human work as manufacturing is automated. Accordingly, the use of precision speed reducers has become essential for achieving precise control of the robot arm position. Curved tooth profiles, such as cycloid or involute tooth profiles, are generally used in precision speed reducers. Speed reducers with cycloid tooth profiles, which enable high precision contro...

This paper focuses on modelling fuzzy numbers with meaningful membership functions. More precisely, it proposes a method to construct trapezoidal fuzzy number approximations from raw discrete data. In many applications, input information is numerical, and therefore, particular fuzzy sets, such as fuzzy numbers, hold great interest and relevance in managing data imprecision and vagueness. The pr...

Analytical structure for a fuzzy PID controller is introduced by employing two fuzzy sets for each of the three input variables and four fuzzy sets for the output variable. This structure is derived via left and right trapezoidal membership functions for inputs, trapezoidal membership functions for output, algebraic product triangular norm, bounded sum triangular co-norm, Mamdani minimum infere...

In many applications of fuzzy set theory, the membership of an object is not defined directly. One of its attributes (like height, age, weight, . . . ) is first mapped on a real number (often by means of a physical instrument) and a parametric function then maps this real number on a membership degree in some fuzzy set (like ‘tall’, ‘old’, ‘heavy’, . . . ). A very common parametric function is ...

To achieve the above we propose, through a numerical example, a methodology that uses in its first phase the Fuzzy-Delphi method, with a group of experts, to acomplish an estimation of the lifetime period of the client within an enterprise, expressed as a trapezoidal fuzzy number, and to get a better consensus of the previous result, as a second phase, we submit such information to another grou...

Abstract: In this paper we are studying a problem related to the traction of an electrical vehicle (EV). The power unit is a Permanent Magnet Synchronous Motor (PMSM) piloted by the trapezoidal control, strategy. The models of the electrical vehicle, of the motor based on finite element identification and the drive, are implemented under Matlab/Simulink 7.1. The control is ensured by four close...

  While the effect of changes of stimulus waveform (quasitrapezoidal and rectangular current pulses) on nerve activation is clear, but there is no evidence on the effect of quasitrapezoidal pulses on ionic currents of cellular membrane. In the present study, the effect of depolarizing quasi-trapezoidal current pulses, in comparison with that of depolarizing rectangular current pulses, on firing...

a micro-channel heat exchanger reactor with different micro-baffle shapes has been studied numerically. governing equations were solved base on the finite volume method with fluent software. in upper section, oxidation reaction of methanol was occurred and in lower section, steam reforming of methanol was done. two sections were separated with solid part which played as heat exchanger and trans...

VHSIC Hardware Description Language (VHDL) simulation of trapezoidal filtering algorithm was done. The exponentially decaying sequences were considered as the input to the filter. Such kinds of signals are usually obtained after processing (i.e. in analog domain) and digitizing the nuclear detector signals. The trapezoidal filter acts as a pulse shaping filter in a typical nuclear spectroscopy ...

Multiplicative operations for fuzzy numbers raise several problems both from the theoretical and practical point of view in fuzzy arithmetic. The multiplication based on Zadeh's extension principle and its triangular and trapezoidal approximation is used in several recent works in applications in geology. Recently, new product-type operation are introduced and studied, as e.g. the cross product...