A parametrization for closed-loop identification of nonlinear systems based on differentially coprime kernel representations

Fujimoto, Kenji; Anderson, Brian D. O.; Bruyne, F. De

doi:10.1016/s0005-1098(01)00151-0

Cited by 12 publications

(11 citation statements)

References 22 publications

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“…The work presented here is related to results presented in [21] and [22], which presented similar results in a quite general, nonlinear setting. However, by restricting the class of systems under consideration here, we are able to present an explicit methodology for the identification and control design, which is suitable for controller updating as it focuses on incremental modelling.…”

Section: Introductionsupporting

confidence: 64%

Incremental closed-loop identification of linear parameter varying systems

Bendtsen

Trangbaek

2011

Proceedings of the 2011 American Control Conference

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Abstract-This paper deals with system identification for control of linear parameter varying systems. In practical applications, it is often important to be able to identify small plant changes in an incremental manner without shutting down the system and/or disconnecting the controller; unfortunately, closed-loop system identification is more difficult than openloop identification. In this paper we prove that the so-called Hansen Scheme, a technique known from linear time-invariant systems theory for transforming closed-loop system identification problems into open-loop-like problems, can be extended to accommodate linear parameter varying systems as well.

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Section: Introductionsupporting

confidence: 64%

Incremental closed-loop identification of linear parameter varying systems

Bendtsen

Trangbaek

2011

Proceedings of the 2011 American Control Conference

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“…10. For recent studies of kernel representations in the context of closed-loop identification of nonlinear systems we refer to [105,56].…”

Section: Notes For Chaptermentioning

confidence: 99%

L2 - Gain and Passivity Techniques in Nonlinear Control

Schaft¹

2000

Communications and Control Engineering

1,168

306

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“…The main contribution of the present paper is to show that the Hansen scheme can be formulated for LPV systems in a non-conservative setting using the notions of LPV stability shown via polyhedral Lyapunov functions [24]. The work presented here is related to results presented in [25] and [26], which are similar in a quite general, nonlinear setting. However, by restricting the class of systems under consideration here, we are able to present an explicit methodology for the identification and control design, which is suitable for controller updating as it focuses on incremental modelling.…”

Section: Introductionmentioning

confidence: 96%

Closed‐Loop Identification for Control of Linear Parameter Varying Systems

Bendtsen¹,

Trangbaek²

2012

Asian Journal of Control

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This paper deals with system identification for control of linear parameter varying systems. In practical applications, it is often important to be able to identify small plant changes in an incremental manner without shutting down the system and/or disconnecting the controller; unfortunately, closed-loop system identification is more difficult than open-loop identification. In this paper we prove that the so-called Hansen scheme, a technique known from linear time-invariant systems theory for transforming closed-loop system identification problems into open-loop-like problems, can be extended to accommodate linear parameter varying systems as well. We investigate the identified subsystem's parameter dependency and observe that, under mild assumptions, the identified subsystem is affine in the parameter vector. Various identification methods are compared in direct and Hansen Scheme setups in simulation studies, and the application of the Hansen Scheme is seen to improve the identification performance.

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A parametrization for closed-loop identification of nonlinear systems based on differentially coprime kernel representations

Cited by 12 publications

References 22 publications

Incremental closed-loop identification of linear parameter varying systems

Incremental closed-loop identification of linear parameter varying systems

L2 - Gain and Passivity Techniques in Nonlinear Control

Closed‐Loop Identification for Control of Linear Parameter Varying Systems

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