Consistency Analysis of the Closed-loop SRIVC Estimator
Siqi Pan, James S. Welsh, Rodrigo A. Gonzalez, Cristian R. Rojas
TL;DR
This paper analyzes the consistency of the CLSRIVC estimator in closed-loop system identification, revealing that it is inconsistent when a continuous-time controller is employed, based on sampled data.
Contribution
It provides a theoretical proof showing the inconsistency of CLSRIVC in certain closed-loop conditions, highlighting limitations of the method.
Findings
CLSRIVC estimator is inconsistent with continuous-time controllers in closed-loop.
Sampled data analysis reveals limitations of the estimator.
Theoretical proof of inconsistency under specific conditions.
Abstract
The Consistency of the Closed-Loop Simplified Refined Instrumental Variable method for Continuous-time system (CLSRIVC) is analysed based on sampled data. It is proven that the CLSRIVC estimator is not consistent when a continuous-time controller is used in the closed-loop.
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Taxonomy
TopicsControl Systems and Identification · Fault Detection and Control Systems · Advanced Control Systems Optimization