Dissipative methods

    Project Details


    Project nr. 1219
    Ph.D project.
    Uffe Hoegsbro Thygesen
    Control systems are often based on a methematical model for the control object in terms of ordinary differential equations. There is always some uncertainty in such a model which may be modelled in terms of unknown system components (perturbations), uncertain parameters, and stochastic disturbances.
    A powerful framework for addressing the unknown system components builds on Jan C. Willem's theory of dissipation. Here one starts out with establishing quantities that the single component cannot produce, for instance energy. Then one investigates how these properties constraint the dynamical behaviour of the component. In a final step one is then able to give qualitative statements about the overall system.
    In this project we investigate the application of dissipation theory to robust (or worst-case) control. To this end we investigate system components which possess several properties of dissipation. Furthermore we consider adaptive control problems in which we seek controllers which are able to make the control object dissipative even when parameter uncertainty is present. Finally we develop a framework of dissipation applicable to systems in which stochastic disturbances also are present.
    Effective start/end date01/01/1996 → …


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