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

Ding, Feng; Qiu, Li; Chen, Tongwen

Automatica 45, No. 2, 324-332 (2009).

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

Keywords:

reconstruction; discrete-time systems; discretization; sampling; estimation; multirate systems; non-uniform sampling

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