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The disturbance decoupling problem for implicit linear discrete-time systems. (English) Zbl 0726.93050
The implicit linear discrete-time system considered is \(Ex_{k+1}=Fx_ k+Gu_ k+Dz_ k\), \(y_ k=Hx_ k\) where E is generally an noninvertible matrix. The state feedback K makes the system disturbance decoupled if \(y_ k=0\) for any \(z_ k\) and F modified to \(F+GK\). The technique used for solution is some generalization of invariant subspaces. No work of Marro and his Italian school of geometric control based on invariant subspaces is mentioned.

MSC:
93C55 Discrete-time control/observation systems
93B27 Geometric methods
93C05 Linear systems in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
Keywords:
time-invariant
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