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Flatness based control of oscillators
Author(s) -
Rouchon P.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410194
Subject(s) - flatness (cosmology) , trajectory , control theory (sociology) , focus (optics) , property (philosophy) , computer science , simple (philosophy) , control (management) , tracking (education) , control engineering , engineering , physics , artificial intelligence , psychology , pedagogy , philosophy , epistemology , astronomy , optics , cosmology , quantum mechanics
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.