DocumentCode :
3078361
Title :
On multivariable stability in the grain space
Author :
Nwokah, Osita D.I. ; Perez, Ronald A.
Author_Institution :
Sch. of Mech. Eng., Purdue Univ., West Lafayette, IN, USA
fYear :
1990
fDate :
5-7 Dec 1990
Firstpage :
328
Abstract :
General existence conditions under which the stability of the individual loops of a multivariable system in a given compact and bounded gain space imply the global asymptotic stability of the multivariable system in the same space are very useful in practice, and they essentially indicate when in principle it is possible to obtain stable closed loop performance of a multivariable system by tuning every loop separately. Such conditions are particularly useful for fault tolerant control of multivariable systems. The authors give the required necessary and sufficient conditions and effectively unify all previous work on diagonal stabilizability which includes as special cases the diagonal dominance, the H-matrix, the GKK-matrix, and the decentralized integral controllability (DIC) conditions reported previously in the literature. Some application examples are included
Keywords :
closed loop systems; controllability; decentralised control; multivariable systems; stability; GKK-matrix; H-matrix; closed loop performance; decentralized integral controllability; diagonal dominance; fault tolerant control; grain space; multivariable system; necessary conditions; stability; sufficient conditions; Eigenvalues and eigenfunctions; Frequency response; Integral equations; MIMO; Robust control; Robust stability; Shape; Stability criteria; Sufficient conditions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
Type :
conf
DOI :
10.1109/CDC.1990.203607
Filename :
203607
Link To Document :
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