Title :
Singular full information ℋ∞ control
Author :
Copsey, D.R. ; Limebeer, D.J.N.
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK
Abstract :
The full information ℋ∞ problem in which D 12 is rank deficient is considered. A necessary and sufficient condition for the existence of controllers is given in terms of the existence of a positive semi-definite stabilising solution to a reduced order Riccati equation. All controllers are parametrised in terms of two, stable linear systems, one of which is norm-bounded. A descriptor state-space representation of all controllers is also provided
Keywords :
H∞ control; Riccati equations; control system synthesis; linear systems; matrix algebra; state-space methods; descriptor state-space representation; necessary and sufficient condition; positive semi-definite stabilising solution; reduced order Riccati equation; singular full information H∞ control; stable linear systems; Control system synthesis; Control systems; Educational institutions; Linear systems; Optimal control; Riccati equations; Signal processing; State feedback; State-space methods; Sufficient conditions;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574620
