Title :
Global numerical approach to nonlinear discrete-time control
Author :
Jaulin, Luc ; Walte, Eric
Author_Institution :
Fac. des Sci., Angers Univ., France
fDate :
6/1/1997 12:00:00 AM
Abstract :
Interval analysis is used to characterize the set of all input sequences with a given length that drive a nonlinear discrete-time state-space 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
Keywords :
computability; discrete time systems; matrix algebra; nonlinear control systems; numerical analysis; set theory; state-space methods; computability; global numerical approach; interval analysis; nonlinear discrete-time state-space system; set inversion; solution set; Automatic control; Linear matrix inequalities; Linear systems; Nonlinear equations; Riccati equations; Robust control; Robustness; Software packages; State feedback; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
