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FOR 468:  Methods from Discrete Mathematics for the Synthesis and Control of Chemical Processes

Subject Area Mathematics
Computer Science, Systems and Electrical Engineering
Thermal Engineering/Process Engineering
Term from 2002 to 2010
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 5469259
 
Increasing requirements on productivity, product quality and environmental compatibility in the chemical industries lead to more and more complex chemical processes. This does not only require the synthesis of more efficient processes but, equally important, the development of new concepts for process control. In both cases, discrete decisions play an important role. For process control problems, these are represented by discrete control inputs, which are often based on discrete, or quantized, measurements. In the context of process synthesis, discrete decisions follow from discrete design parameters as, for example, the number of trays in a distillation column.
Because of process complexity, mathematical process models are increasingly used to solve both synthesis and control problems. For models involving continuous variables only, a number of methods and tools for both problem areas is available. Unfortunately, this is not true for models with both discrete and continuous variables although they represent a practically important class of problems. For example, there are no effective tools that can provably find a global optimum for mixed process synthesis and control problems.
The goal of the research activity is to develop methods and tools from discrete mathematics to solve challenging process synthesis and control problems in chemical engineering which involve discrete aspects. This requires a close interaction between mathematicians, control theorists and chemical engineers. To the best of our knowledge, such an interdisciplinary project is unique.
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