DocumentCode :
818892
Title :
Decoupling and disturbance rejection
Author :
Fabian, E. ; Wonham, W.M.
Author_Institution :
Gellman, Hayward, and Partners, Toronto, Canada
Volume :
20
Issue :
3
fYear :
1975
fDate :
6/1/1975 12:00:00 AM
Firstpage :
399
Lastpage :
401
Abstract :
For the linear multivariable system \\dot{x} = Ax + Bu + Er, z_{i} = D_{i}x(i \\in k), x \\in X , with disturbance \\Gamma (\\cdot) , it is shown that the decoupling problem and disturbance rejection problem are simultaneously solvable, so as to yield a stable closed-loop system, if and only if \\Im (E)\\subset V_{g}^{*} and R_{i}^{*} + \\ker D_{i} = X, i \\in k . Here V_{g}^{*} and R_{i}^{*} are subspaces uniquely defined by and constructible from the data A, B, D_{i} i\\in k .
Keywords :
Decoupling of systems; Linear systems, time-invariant continuous-time; Electrons; Erbium; MIMO; Notice of Violation; Optimal control; Regulators; Riccati equations; Steady-state; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1100981
Filename :
1100981
Link To Document :
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