Title :
Optimal solution and approximation to the l1/H∞ control problem
Author :
Rotstein, Héctor ; Shklyar, Benzion
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
6/1/1999 12:00:00 AM
Abstract :
This paper addresses the l1/H∞ optimal control problem for a system described by linear time-invariant finite dimensional discrete-time equations. It is shown that a solution to this problem exists and can be approximated arbitrarily by real-rational transfer matrices. Perhaps more interesting from a computational point of view, a bound on the order of a δ-suboptimal solution is also given
Keywords :
H∞ control; approximation theory; discrete time systems; multidimensional systems; transfer function matrices; δ-suboptimal solution order bound; H∞ optimal control; LTI system; l1 optimal control; linear time-invariant finite dimensional discrete-time equations; optimal approximation; real-rational transfer matrices; Computer science; Constraint optimization; Control systems; Equations; Gallium nitride; Mathematics; Optimal control; Robust control; Time domain analysis; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
