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teb_local_planner reviews and mentions
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best algorithm [ indoor service robots ]
For the local planner/controller, which seems to be the meat of your problem here: I'd say in dynamic environments TEB is generally good (https://github.com/rst-tu-dortmund/teb_local_planner), BUT tuning it usually gets convoluted. Changing one parameter may have propagated effects throughout the algorithm. If you want to strictly follow your global path, I wouldn't really advise it.
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rst-tu-dortmund/teb_local_planner is an open source project licensed under BSD 3-clause "New" or "Revised" License which is an OSI approved license.
The primary programming language of teb_local_planner is C++.
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