# Consistency Analysis of the Simplified Refined Instrumental Variable Method for Continuous-time Systems

@article{Pan2020ConsistencyAO, title={Consistency Analysis of the Simplified Refined Instrumental Variable Method for Continuous-time Systems}, author={Siqi Pan and Rodrigo A. Gonz{\'a}lez and James S. Welsh and Cristian R. Rojas}, journal={ArXiv}, year={2020}, volume={abs/1910.00166} }

## 14 Citations

Efficiency Analysis of the Simplified Refined Instrumental Variable Method for Continuous-time Systems

- MathematicsAutom.
- 2020

How to Deal with Parameter Estimation in Continuous-Time Stochastic Systems

- MathematicsCircuits Syst. Signal Process.
- 2022

In this paper, we present some options to deal with the problem of parameter estimation in continuous-time stochastic systems under white, and coloured noise perturbations using classical methods.…

An optimal instrumental variable approach for continuous-time multiple input-single output fractional model identification

- Mathematics, Economics
- 2020

Enforcing stability through ellipsoidal inner approximations in the indirect approach for continuous-time system identification

- Mathematics, Computer Science
- 2020

Continuous-Time Model Identification From Filtered Sampled Data: Error Analysis

- Computer Science, EngineeringIEEE Transactions on Automatic Control
- 2020

In this article, an upper bound is established for the estimation error of a standard least squares (LS) algorithm used to identify a continuous-time model from filtered, sampled input–output data.…

Consistency Analysis of the Closed-loop SRIVC Estimator

- MathematicsArXiv
- 2021

The analysis assumes that the additive noise on the output is discrete-time in nature and will have a ZOH or FOH intersample behaviour when entering the closed-loop system a seen in Figure 1.1.

Identification of Multiple First-Order Continuous-Time Dynamic Models From Special Segments in Historical Data

- MathematicsIEEE Access
- 2020

This paper proposes an approach to estimate unknown parameters of multiple first-order continuous-time dynamic models from special segments in historical data, which is composed of two main steps.

Estimating the Membrane Properties of Vestibular Type II Hair Cells using Continuous-time System Identification

- Mathematics
- 2020

Dynamic model identification for CNC machine tool feed drives from in-process signals for virtual process planning

- Materials Science
- 2020

Consistent identification of continuous-time systems under multisine input signal excitation

- Computer ScienceAutom.
- 2021

## References

SHOWING 1-10 OF 36 REFERENCES

Convergence analysis of refined instrumental variable method for continuous-time system identification

- Mathematics
- 2011

The refined instrumental variable method for continuous-time systems, abbreviated as the RIVC method, has been well accepted and used successfully for years in many disciplines. This study fills up a…

The advantages of directly identifying continuous-time transfer function models in practical applications

- Computer ScienceInt. J. Control
- 2014

The main aim is to discuss the advantages of direct, continuous-time model identification with the help of illustrative examples that are all based on real data from practical applications, and the latest and most sophisticated time domain identification algorithm is used in these examples.

Comparison of some instrumental variable methods - Consistency and accuracy aspects

- MathematicsAutom.
- 1981

The refined instrumental variable method

- Mathematics
- 2008

This paper describes the unified Refined Instrumental Variable approach to the time domain identification and estimation of both discrete-time (RIV) and continuous-time (RIVC) transfer function…

Refined instrumental variable methods of recursive time-series analysis Part III. Extensions

- Computer Science
- 1980

The paper shows how the refined IV procedure can be extended in various important directions and how it can provide the basis for the synthesis of optimal generalized equation error (GEE) algorithms for a wide class of stochastic dynamic systems.

A Continuous-Time Linear System Identification Method for Slowly Sampled Data

- MathematicsIEEE Transactions on Signal Processing
- 2010

This paper proposes a more direct method where a continuous-time linear model is directly fitted to the available samples, and produces an exact model asymptotically, modulo some possible aliasing ambiguity, even when the sampling rate is relatively slow.

Refined Instrumental Variable Identification of Continuous-Time OE and BJ Models from Irregularly Sampled Data

- MathematicsALCOSP
- 2013

It is described how refined instrumental variable estimators can be derived to directly identify the parameters of continuous-time output error and Box-Jenkins transfer function models from irregularly sampled data.

Strongly consistent parameter estimation by the introduction of strong instrumental variables

- Mathematics
- 1974

This paper introduces the concept of strong instrumental variables and strong instrumental matrix sequences for the estimation of the transfer function parameters of discrete-time, time-invariant…

Sampling approximations for continuous-time identification

- Computer Science
- 2009

Several possibilities for approximating the continuous-time system with a discrete-time model are discussed, with an emphasize on approaches based on modeling the inter-sample behavior of the input signal.

Direct continuous-time approaches to system identification. Overview and benefits for practical applications

- Computer ScienceEur. J. Control
- 2015