Vector Measures of Accuracy for Sampled Data Models of Nonlinear Systems

Carrasco, Diego S.; Goodwin, Graham C.; Yuz, Juan I.

doi:10.1109/tac.2012.2203061

Cited by 10 publications

(15 citation statements)

References 6 publications

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“…The presence of these zeros contrast with the original continuous-time model (25), which has only one finite zero. The extra zero in the discrete-time model arises from the folding process.…”

Section: Asymptotic Sampling Zerosmentioning

confidence: 87%

“…To further illustrate the problem, consider again the continuous-time linear system (25). Figure 5 shows the magnitude of the relative error…”

Section: Euler Approximate Modelsmentioning

confidence: 99%

“…The significance of model (45) is that this approximate model achieves the objective of having its relative errors go to zero as D approaches zero. Figure 6 shows the corresponding magnitude of the relative error as a function of frequency for the continuous-time system (25)…”

Section: Approximate Models In the Frequency Domainmentioning

confidence: 99%

“…To illustrate, consider the continuous-time system (25). The above procedure results in the approximate sampled-data model …”

Section: Approximate Models In the Time Domainmentioning

confidence: 99%

“…As for the linear case, the model (84)-(86) is known as a TTS model (see [24] and [25]). The model has extra sampling-zero dynamics.…”

Section: T T T T T T Tmentioning

confidence: 99%

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Sampling and Sampled-Data Models: The Interface Between the Continuous World and Digital Algorithms

Goodwin

Agüero

Garridos³

et al. 2013

IEEE Control Syst.

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M odern signal processing and control algorithms are invariably implemented digitally, yet most real-world systems evolve in continuous time. Hence, the interaction between sampling and the behavior of continuous-time systems is an important ingredient in all real-world signals and systems problems.The literature on sampled-data systems goes back several decades [1]- [5]. Modern systems allow much faster sampling rates than were previously possible, which suggests that it is timely to reexamine sampled-data models [6]- [8]. Such a re-examination is the main goal of this article. A tutorial overview is provided of several related topics, including » exact and approximate sampled-data models arising from an underlying continuous-time system » connections between sampled-data models and the underlying continuous-time systems at fast sampling rates » intersample behavior.

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Section: Asymptotic Sampling Zerosmentioning

confidence: 87%

“…To further illustrate the problem, consider again the continuous-time linear system (25). Figure 5 shows the magnitude of the relative error…”

Section: Euler Approximate Modelsmentioning

confidence: 99%