Nonlinear control is related to Lie-Backlund transformation of some infinite-dimensional manifolds. State-variable representations, feedback and, especially, dynamic feedback linearization, i.e., flatness, are briefly examined, as well as the relationship with the differential algebraic approach. This setting provides a most natural framework for time scalings. We indicate via the carlike robot how to utilize this new time for stabilizing around a trajectory a driftless flat system.
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