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Consistency analysis of refined instrumental variable methods for continuous-time system identification in closed-loop
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- González, Rodrigo A. (author)
- Control Systems Technology Section, Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands.
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- Pan, Siqi (author)
- School of Engineering, University of Newcastle, Callaghan, 2308 NSW, Australia
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- Rojas, Cristian R., 1980- (author)
- KTH,Reglerteknik
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- Control Systems Technology Section, Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands School of Engineering, University of Newcastle, Callaghan, 2308 NSW, Australia (creator_code:org_t)
- Elsevier BV, 2024
- 2024
- English.
- In: Automatica. - : Elsevier BV. - 0005-1098 .- 1873-2836. ; 166
- Journal article (peer-reviewed)
Abstract
Subject headings
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- Refined instrumental variable methods have been broadly used for identification of continuous-time 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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Keyword
- Closed-loop system identification
- Consistency
- Continuous-time systems
- Instrumental variables
Publication and Content Type
- ref (subject category)
- art (subject category)
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