{'fraction_non_alphanumeric': 0.024205748865355523, 'fraction_numerical': 0.0, 'mean_word_length': 5.554455445544554, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Flatness based control of oscillators

The aim of this paper is to present some recent developments and hints for future researches in control inspired of flatness‐based ideas. We focus on motion planning: Steering a system from one state to another. We do not consider stabilization and trajectory tracking. We explain how explicit trajectory parameterization, a property that is central for flat systems, can be useful for the feed‐forward control of various oscillatory systems (linear, non‐linear , finite and infinite dimensional) of physical and engineering interests. Such parameterization provide simple algorithms to generate in real‐time trajectories.