Abstract. There is presented a comparison of sliding mode control and decoupled sliding mode control algorithms for the PUMA 560 robot position control. The Lagrange-Euler mathematical model of the robot is used for calculation the control laws. The algorithms show good robustness to model inaccuracies. The decoupled sliding mode control shows better performance in positioning than the standard...

A convenient and physically sound mathematical model of the external or I − V characteristic of solar cells generators is presented in this paper. This model is compared with the traditional model of p−n junction. The direct analytical calculation of load regime leads to a quadratic equation, which is importantly to simplify the calculations in the real time.

We give a mathematical account of a recent string theory calculation which predicts the number of rational curves on the generic quintic threefold. Our account involves the interpretation of Yukawa couplings in terms of variations of Hodge structure, a new q-expansion principle for functions on the moduli space of Calabi-Yau manifolds, and the “mirror symmetry” phenomenon recently observed by s...

This study starts with a survey on the end-user’s behaviour on operating a multi-split VRF air-conditioning system and progresses with reasonable assumptions and finally, mathematical models are used to generate the calculation equations. Taking a one-to-four multi-split system as an example, step by step, a new performance rating approach for a multi-split air-conditioning system is developed.

We present a mathematical analysis of transformations used in fast calculation of inverse square root for single-precision floating-point numbers. Optimal values of the so called magic constants are derived in a systematic way, minimizing either absolute or relative errors at subsequent stages of the discussed algorithm.

An integrated approach for the management of continuous beer fermentation with immobilized cells was developed. Experimental results for continuous fermentation were used for the development of dependencies for the calculation of real extract and ethanol at different degrees of fermentation and dilution rates. For this purpose, mathematical relationships describing the fermentation with high ac...

Though great progress has been made both in technology and the development of digital computer systems, when it comes to industrial applications – industrial instrumentation above all – the use of analog circuits of calculation is more convenient. These circuits are characterized by their great speed and low cost while the precision and complexity of the mathematical operations they carry out a...

In this paper, a new face recognition algorithm is presented. It is based on eigenvalues which are calculated by power method algorithm. The digital hardware is designed for the face recognition system based on the power algorithm using VHDL and implemented on the Xilinx Spartan 3E FPGA. The presented algorithm has less mathematical calculation and complexity, so the face recognition system is ...

We have presented the mathematical model, which can be the basis of determination of a numerical algorithm for the thickness of concentration boundary layers calculation for ternary nonelectrolyte solutions. This model is based on Rayleigh equation and second Kedem-Katchalsky equation for ternary solutions. In proposed model, the thickness of concentration boundary layers is controlled by conce...

This report presents a condensed summary on foundations of gauge theory and its application to mecanics. In particular, we will see how the involved mathematical concepts allow to describe the reorientation of a free falling cat in a coordinate free (and nearly calculation free) manner.