Resumen de Modal interval based package for robust control
Complex systems are often subjected to uncertainties that make its model difficult, if not impossible to obtain. A quantitative model may be inadequate to represent the behavior of systems which require an explicit representation of imprecision and uncertainty. Assuming that the uncertainties are structured, these models can be handled with interval models in which the values of the parameters are allowed to vary within numeric intervals. Robust control uses such mathematical models to explicitly have uncertainty into account. Solving robust control problems, like finding the robust stability or designing a robust controller, involves hard symbolic and numeric computation. When interval models are used, it also involves interval computation. To deal with all these difficulties, in this thesis are presented two main contributions: a methodology integrated in a solver and a framework, IRCAD, that combines symbolic and numeric computation with modal interval analysis (MIA) to solve robust control problems.
