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Time-optimal feedback control for small disturbances

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1 Author(s)
Meeker, L.D. ; University of New Hampshire, Durham, NH, USA

This paper introduces a new technique for the analysis of time-optimal systems having multidimensional inputs. The method provides a cellular decomposition of the controllable set for small response times for a new generic class of systems called "minimally controllable systems." The decomposition permits a complete study of the time-optimal flow near the origin and forms the basis for the synthesis of closed-loop optimal control. The method, while generally applicable, is restricted here to the simplest, nontrivial case of third-order systems with two-dimensional controls.

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Automatic Control, IEEE Transactions on  (Volume:23 ,  Issue: 6 )