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Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems. (English) Zbl 1158.93365

Summary: A continuous-time system cannot be recovered solely from its uniformly sampled discrete-time model through the zero-order hold discretization or step-invariant transformation, but our studies indicate that it can be recovered uniquely from its non-uniformly sampled discrete-time model. In this paper, we discuss some related issues of non-uniformly sampled systems, including model derivation, controllability and observability, computation of single-rate models with different sampling periods, reconstruction of continuous-time systems, and parameter identification of non-uniformly sampled discrete-time systems. A numerical example is also given for illustration.

MSC:

93C57 Sampled-data control/observation systems
93C55 Discrete-time control/observation systems
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