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Mathematical Algorithms Validation

Date: (20/11/2009)

Facultad de Ciencias Físico-Matemáticas

Advances in science and technology world are increasing quickly, so the School of Physics and Mathematics (FCFM, Spanish abbreviation) has qualified equipment in automatic control area.

"Experiments carried out with 'Mechatronics' equipment establish the basis for future advances in robotics area:" Dra. Maria Aracelia Alcorta Garcia.

By Gabriela Hernandez Villanueva

Changes occur quickly in science and technology world, and it means an essential and continuous step for researchers and study centers, to be adapted, it also contributes to knowledge.

The Universidad Autonoma de Nuevo Leon (UANL) School of Physics and Mathematics (FCFM, Spanish abbreviation) has innovative equipment, and they carry out test in the best optimum way with it in order to evaluate mathematical equations in filtering and automatic control area.

“All experiments carried out by ‘Mechatronics’ equipment, establish the basis for future advances in robotics area,” said Doctor in Industrial Engineering, Maria Aracelia Alcorta Garcia.

She is also a UANL researcher and who manages that equipment; she said when they received the machine in 2005, the experiments and practices carried out in automatic control area in the School of Physics and Mathematics, have been developing.

“Currently, we are carrying out experiments with ‘Mechatronics’ equipment in order to evaluate mathematical equations efficiency in filtering and automatic control area.”

“The implementation of control mathematical algorithms by using alternative methods, allow us to discover the best and most efficient conditions for equations operation by applying different methods,” said Dra. Alcorta Garcia.

We have to mention that the use of equipment –which researcher is responsible- is so important for the university institution, because before the School received the equipment, researchers only had the option of representing algorithms by a simulated way, in some programs.

“It is amazing how when real experiments are carried out in real situations, but not only in virtual simulations -as we used to do it- conditions for every mathematical equation are better seen.”

“Previously, we used to upload mathematical equations to ‘Simulink’ (Simulation and model-based design) and we did the virtual simulation. This gave results to us, and we assumed the results would be fulfilled in a specific moment, in a real situation.”

“Now that we can control the ‘Mechatonics kid’ experiments from a computer, through some applications use, our perspective has been increased in order to obtain interesting results with future applications in the area.”

“‘Mechatronics’ team is composed by a machine, which is composed by a pendulum in different positions. The objective is to establish mathematical equations to this pendulum’s movement and observe the effects in its movements when we change parameters in that mathematical equation,” assured who is also FCFM professor.

We have to mention that algorithms or mathematical equations –which Dra. Alcorta Garcia’s colleagues work with- are created for specific processes which are fulfilled under very specific characteristics too.

Subsequently, they look for validate these algorithms, considering a real application, which fulfill the required conditions for finally, confirm that that algorithm really works in equations.

“‘Mechatronics’ team got the virtue of being a real experiment, which allow us to control it from a computer, observe mathematical equation’s effect and changes of parameters in that equation. We can apply it all this in some movement of some mechanical arm, such as equipment use.”

“And, at the same time, we can compare mathematical equations gotten from different methods and see which is which gives the best results to us by changing parameters depending on conditions,” said Dra. Alcorta Garcia.

** Maria Aracelia Alcorta Garcia got a Doctorate Degree in Industrial Physics Engineering. Her study area is ‘Automatic Control major in ‘Filtering and optimum Control.’ Currently, she is a member of the National Council on Science and Technology (CONACYT, Spanish abbreviation) National System of Researchers Level I as well as member of UANL researchers group.