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IS-DAAD-Forskerutveksl. Norge-Tyskland

Dynamics and Control of Fractional-Order Systems

Tildelt: kr 0,12 mill.




2019 - 2020


Fractional-order systems are dynamic systems the mathematical description of which, and thus modelling, comprises fractional differential equations, that is, contains derivatives of non-integer order. Such fractional-order systems already proved useful in studying the various nonlinear, and even anomalous, behaviours in biology, material science, electrochemistry, and others. For instance, typical dynamic phenomena, calling for derivatives and integrals of fractional orders, can be of a chaotic, creeping, viscoelastic, and memory-containing type. So far both - the modelling and identification of physical plants to be controlled and the control systems to be designed and implemented - experienced limited benefits from the fractional-order systems theory, although the associated mathematical body has already reached certain maturity. The main scope for our collaborative research encompasses the analysis of the dynamics, including modelling and identification, and control design for the fractional-order systems with potential real-world examples. For reaching individual project targets and to comply with the overall program objectives, the solicited project will implement different practical measures and strengthen the academic relationship between the research groups at TUIlm (Technische Universität Ilmenau) in Germany and UIA (Universitetet i Agder) in Norway. The synergies expected from the complementary cooperative research work will increase visibility of both groups on national level and within the large international communities of control and systems engineering. It will also contribute to an enhanced education quality of the master and doctoral students at both institutions. The case studies on the fractional-order systems in control and mechatronic applications can also attract attention of various maritime, offshore, and construction industries, which are essential for the East- and West-Agder regions in Norway and local Thuringian industry in Germany.


IS-DAAD-Forskerutveksl. Norge-Tyskland