Global numerical approach to nonlinear discrete time control

Luc Jaulin (1, 2, 3) , Eric Walter (4)

1 STIC - Département STIC [Brest]
2 Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
3 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés
4 L2S - Laboratoire des signaux et systèmes

Interval analysis is used to characterize the set of all input sequences with a given length that drive a nonlinear discrete-time statespace system from a given initial state to a given set of terminal states. No requirement other than computability (i.e., ability to be evaluated by a finite algorithm) is put on the nature of the state equations. The method is based on an algorithm for set inversion and approximates the solution set in a guaranteed way.

Domaines: Sciences de l'ingénieur [physics]

Luc Jaulin, Eric Walter. Global numerical approach to nonlinear discrete time control. IEEE Transactions on Automatic Control, 1997, 42, pp.872-875. ⟨hal-00843967⟩