Necessary and sufficient identifiability conditions for multi-input multi-output linear dynamic systems operating in closed loop indicate that under certain conditions physically meaningful models for forward and reverse paths can be uniquely determined.
Delay structure conditions for identifiability of closed loop systems
β Scribed by Paul M.J. Van den Hof; Douwe K. De Vries; Peter Schoen
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 405 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0005-1098
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β¦ Synopsis
When identifying a linear system operating under a linear feedback law, specific restrictions have to be imposed on the presence of delays in the plant and/or the controller in order to obtain identifiability. In this paper the delay structure conditions are investigated under which a least squares direct type prediction error identification method is able to consistently estimate the open loop plant. It is shown that the commonly required condition of strictly properness of the loop transfer function can be relaxed to a condition that relates to the absence of algebraic loops in the closed loop plant models.
π SIMILAR VOLUMES
The identifiability of the delay parameter for nonlinear systems with a single constant time delay is analyzed. We show the existence of input-output equations and relate the identifiability of the delay parameter to their form. Explicit criteria based on rank calculations are formulated. The identi