PARAMCOSYS · Parametrization in the control of dynamic systems
6РП — Действия „Мария Кюри“
- Период
- 2004-08-01 → 2008-07-31
- Финансиране от ЕС
- 245 594 €
- Участници
- 2
- Схема
- TOK
Линиите свързват координатора с партньорите.
Накратко на български
Параметризацията на динамични системи изучава начини за управление на процеси, като например разпространението на топлината или квантовите системи, без директно да се решават сложни уравнения. Това помага за по-лесното изчисляване на връзката между входните сигнали и крайните резултати в тези модели.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Final Activity Report Summary - PARAMCOSYS (Parametrisation in the control of dynamic systems)
The main goal in the project was to study parametrisation of dynamic systems. These systems are controlled ordinary and partial differential equations and systems of equations. Parametrisation means that the input, or control, and output, or measurement, of the system considered are calculated by using a third signal function, so-called parameter function. Then, the system equations need not be directly solved to obtain the corresponding input-output pairs of the system. The approach used is a generalisation of so-called flatness-based control design applicable directly only to ordinary differential system models. A generalisation of the differential equation models, so-called pseudo-differential operator models, was considered, too. In a series of published conference papers parametrisation of two scalar boundary-controlled distributed-parameter systems were studied. These are the linear heat equation and a nonlinear viscous Burgers' equation, which are described by partial differential equation models. A general treatment on parametrisation of a set of linear partial differential equation systems was carried out in a more detailed paper. Our main application field on the side of ordinary differential equation models is quantum control, in other words, quantum-mechanically described systems and their control. These system classes are studied by using bilinear control models. Then we could use a certain type of exponential representation of the solution of the model equations, so-called Wei-Norman solution in the construction of the parametrisation. Simulation studies of our solution methodology are under work. Development and analysis of some more realistic and sophisticated quantum system models are going on, too.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
The goal of the project is to increase and deepen the knowledge on the control of dynamic systems at the Department of Mathematics and Statistics, University of Kuopio, based on the idea of flatness, developed recently by M. Fliess and co-workers in France , and on the methodology called parametrization. Here dynamic systems has a control-theoretic meaning of being controlled ordinary or partial differential equation (PDE) systems (of parabolic evolution type). A technically feasible and computational test f or checking flatness and parametrizability is still missing. Furthermore, extensions to nonlinear partial differential systems still waits for a developer. Linear partial differential systems can already be controlled via a flatness-based technique, a so-c alled parametrization method. The scientific objective is to further develop, together with advanced European specialists, control methodology of dynamic systems via flatness and parametrization concepts, and try to extend these results to nonlinear PDE sy stems. Some methodological results developed earlier in our department will also be developed further and applied. A central application field is control of quantum mechanically described systems. This application field has a key role in developing new mea surement principles and corresponding technologies,and interface electronics for future, e.g. mobile, communication systems relying on quantum mechanical principles in quantum computation and quantum control. Due to the plans to develop a new Master of Sci ence curriculum in engineering in the University of Kuopio, and due to the etablation of new research and development units of multinational high-tech companies, e.g. Honeywell and Nokia, in Kuopio and Northern Savo region, knowledge of advanced control e ngineering and mathematical control theory has to be increased and enlarged to guarantee high level curriculum teaching in the field. Our proposal supports strongly this development.
Оригинален текст от CORDIS (на английски).
Участници
Връзки
Данни: CORDIS, © Европейски съюз