Ulrich Loup, Theorie Hybrider Systeme
|Title||Actuating Symbolically – A Case Study|
|Where||Lecture Room Informatik 11|
|Abstract||This talk is concerned with a case study which was performed in cooperation with the Institut für Regelungstechnik of RWTH Aachen. We tackled a problem emerging in control theory: given a model of a real-world system to be controlled, find a function which always computes the optimal control for the system w.r.t. a specific prediction horizon. Such so-called control functions can be computed for linear models analytically, but this is in general not the case for non-linear models. In current applications such systems are controlled using dynamic programming in an approximate, time-discrete setting, particularly without computing control functions themselves. We tried
to fill this gap by computing the optimal control using dynamic programming on a symbolic working point of the system. This approach yields a term representing the optimal control depending on an arbitrary system state — a control function. The talk summarizes some experimental results and pinpoints problems regarding the symbolic computations.
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