Algorithms for Hybrid Optimal Control
نویسندگان
چکیده
Abstract. We consider a non linear ordinary differential equation and want to control its behavior so that it reaches a target by minimizing a cost function. Our approach is to use hybrid systems to solve this problem: the complex dynamic is replaced by piecewise affine approximations which allow an analytical resolution. The sequence of affine models then forms a sequence of states of a hybrid automaton. Given an optimal sequence of states, we are then able to traverse the automaton till the target, locally insuring the optimality.
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ورودعنوان ژورنال:
- CoRR
دوره abs/math/0502172 شماره
صفحات -
تاریخ انتشار 2005