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Dynamical systems that compute time-optimal switchings

Abstract : It is well known that the minimum time bounded control of linear systems is generically bang-bang and that the number of switchings does not exceed the dimension of the system if the eigenvalues of the system matrix are real. We propose a synthesis method for such problems based on dynamical systems that 'compute' the optimal sequence of switching times.
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Submitted on : Friday, December 5, 2014 - 4:47:13 PM
Last modification on : Friday, October 1, 2021 - 9:54:07 AM
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Frédéric Grognard, Rodolphe Sepulchre, Jose de Dona. Dynamical systems that compute time-optimal switchings. IFAC NOLCOS 2001 Symposium, Jul 2002, Saint Petersburg, Russia. ⟨hal-01091608⟩

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