Consistency analysis of refined instrumental variable methods for continuous-time system identification in closed-loop

被引:1
|
作者
Gonzalez, Rodrigo A. [1 ]
Pan, Siqi [2 ]
Rojas, Cristian R. [3 ]
Welsh, James S. [2 ]
机构
[1] Eindhoven Univ Technol, Dept Mech Engn, Control Syst Technol Sect, Eindhoven, Netherlands
[2] Univ Newcastle, Sch Engn, Callaghan, NSW 2308, Australia
[3] KTH Royal Inst Technol, Div Decis & Control Syst, S-10044 Stockholm, Sweden
基金
瑞典研究理事会;
关键词
Closed-loop system identification; Continuous-time systems; Instrumental variables; Consistency; MODEL IDENTIFICATION;
D O I
10.1016/j.automatica.2024.111697
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Refined instrumental variable methods have been broadly used for identification of continuoustime systems in both open and closed-loop settings. However, the theoretical properties of these methods are still yet to be fully understood when operating in closed-loop. In this paper, we address the consistency of the simplified refined instrumental variable method for continuous-time systems (SRIVC) and its closed-loop variant CLSRIVC when they are applied on data that is generated from a feedback loop. In particular, we consider feedback loops consisting of continuous-time controllers, as well as the discrete-time control case. This paper proves that the SRIVC and CLSRIVC estimators are not generically consistent when there is a continuous-time controller in the loop, and that generic consistency can be achieved when the controller is implemented in discrete-time. Numerical simulations are presented to support the theoretical results. (c) 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
引用
收藏
页数:11
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