Plenary Lecture

Some Interesting Aspects of Elementary Distributions with Applications in Control Algorithms Design

Abstract: This paper presents interesting aspects of classical distributions theory and the elementary distributions, insisting on practical applications in software control of power electronics and digital control engineering. The practical real world phenomena have discontinuities, severe nonlinearities and non-derivation points and therefore cannot be represented as mathematical closed formula. In order to solve this problem using classical mathematics the discontinuous or nonlinear regions are represented using partitioning method in order to eliminate the discontinuities. But this way we eliminate also the use of derivation operator and this is a great disadvantage, because the discontinuity points represent the points where the system is actually working. The distributions theory was years ago only a mathematical theory, never used in practical applications, but the distributions theory with its remarkable properties represents a link between the continuous systems with their vast experience and the digital systems. The development of information technology and control engineering demands the use of distributions theory in order to elaborate the mathematical model. First, the paper presents the definition of elementary distributions and their properties, validated by modeling and simulation. Then, based on the elementary distributions, new properties are introduced, modeled and simulated with digital application examples. The final part of the paper presents complex control engineering applications, like: software oriented digital controllers for power electronics and industrial elevator software controller. All of these controllers algorithms based on distributions theory can be easily coded in any programming language, like microcontrollers, microprocessors or ASIC - HDL embedded solution.

Brief Biography of the Speakers:
Emil Pop: graduated with BSc(Hons) in Electrical Engineering in 1967, graduated with BSc in Mathematics-Informatics in 1976 and gained a PhD in System Control in 1976, based upon the research developed at the University La Sapienza, Rome, Italy and at the University of Petrosani. He joined in 1967 the University of Petrosani. In 1990 became Professor of Control Engineering, Ph.D advisor and was for many years the Head of Control Engineering and Applied Informatics Department. In 1993 he was for 4 years General Director in the Romanian Ministry of Education and Research, from 2004 to 2008 he was Vice-Rector of the University of Petrosani in charge with the R&D and European Programs and from 2008 he is the Rector of the University of Petrosani. In 2001 he was Visiting Professor at the University of Clausthal, Germany. In 2007 he was made Academician of the Technical Academy of Ukraine. He attended several post graduate courses in software development, software engineering, control engineering, curriculum development, education management etc at Reding, Cardiff - U.K., Katowice – Poland, Upsala University - Sweden, Geneva – Switzerland, Toronto – Canada. His general research interests are in system control engineering, nonlinear systems, VLSI system design, robot control, modelling and simulation and applied informatics. In his over 40 years long didactical and research activity he coordinated about 100 national and international research projects and grants and published about 200 papers, from which 8 in WSEAS conferences. He also was a Plenary Speaker at WSEAS conference in Corfu, Greece, October, 2008.

Monica Leba: received a BSc(Hons) in System Control and Applied Informatics Engineering in 1998, a MSc in Information Systems and Technologies in 2007 and gained a PhD in System Control in 2002. She joined in 1999 the University of Petrosani. In 2008 became Associated Professor of System Control Engineering. She is Director of European Programs Centre of the University of Petrosani from 2008 and in the period 2006-2008 coordinated the Erasmus Programs. In 2001 she achieved a research project at the University of Clausthal, Germany and in 2006 at the University of Florence, Italy. She was Invited Lecturer at the University of Clausthal – Germany, University of Nancy – France and University of Malaga – Spain. Her general research interests are in applied informatics, system control engineering, robot control, modelling and simulation, computer engineering and control algorithms design. In her 10 years long didactical and research activity she took part and coordinated about 20 national and international research projects and grants and published about 80 papers, from which 8 in WSEAS conferences. She also was a Plenary Speaker at WSEAS conference in Corfu, Greece, October, 2008.

 

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