Observers for discrete singular systems. (English) Zbl 0633.93025

This note is concerned with the design methods of observers for the discrete singular system \(Ex(k+1)=Ax(k)+Bu(k)\), \(y(k)=Cx(k)\), placing special emphasis on the problem of state reconstruction and minimal-time state reconstruction. It is shown that for a singular system finite poles may be moved to infinity by state feedback and the state may be reconstructed by causal observers.


93B50 Synthesis problems
93B30 System identification
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
34A99 General theory for ordinary differential equations
39A12 Discrete version of topics in analysis
93B07 Observability
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