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A new shift-invariant representation for periodic linear systems. (English) Zbl 0729.93034

Summary: This paper presents a new family of shift-invariant representations for periodic linear discrete-time systems. This representation has the advantages over the standard representation [R. E. Kalman and J. E. Bertram, J. Franklin Inst. 267, 405-436 (1959; Zbl 0142.070)] of preserving the time step of the original system, and of preserving causality under arbitrary feedback. The disadvantage is that the realization is not minimal. An application in attitude determination is presented.

MSC:

93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
93E11 Filtering in stochastic control theory

Citations:

Zbl 0142.070
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References:

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