Title :
Optimal robust disturbance attenuation for MIMO uncertain systems in H∞
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
We consider the optimal robust disturbance attenuation problem (ORDAP) for multi-input multi-output (MIMO) uncertain plants. Duality theory is used to show the existence of optimal feedback laws. Next a key multiplication operator acting on particular vector-valued Hardy spaces is introduced. It is then proved that ORDAP for MIMO systems is equal to the operator induced norm of a specific operator. The latter is shown to be a combination of multiplication and Toeplitz operators. An “infinite matrix” representation with respect to a canonical basis is derived, and the norm of the relevant operator is approximated by special matrix norms
Keywords :
Banach spaces; H∞ control; MIMO systems; control system synthesis; duality (mathematics); feedback; matrix algebra; robust control; uncertain systems; MIMO uncertain systems; Toeplitz operators; duality theory; infinite matrix representation; matrix norms; multiplication operator; operator induced norm; optimal feedback laws; optimal robust disturbance attenuation; vector-valued Hardy spaces; Aerospace engineering; Attenuation; Birds; Extraterrestrial measurements; Feedback; MIMO; Power measurement; Robustness; Space technology; Uncertain systems;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786171
