2012
DOI: 10.1002/asjc.612
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Closed‐Loop Identification for Control of Linear Parameter Varying Systems

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 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 clo… Show more

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Cited by 9 publications
(8 citation statements)
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“…On the other hand, it has been assumed that there is no variation in the system represented by G; when doing controller switching in a system with variations the dual YK formulation needs also to be employed. All the plants stabilized by a given controller are represented by G(S), where S is the dual YK parameter [17]. In that case, CL stability involves both Q and S: (I − QS) −1 ∈ RH ∞ [5].…”
Section: Structures 7 Andmentioning
confidence: 99%
“…On the other hand, it has been assumed that there is no variation in the system represented by G; when doing controller switching in a system with variations the dual YK formulation needs also to be employed. All the plants stabilized by a given controller are represented by G(S), where S is the dual YK parameter [17]. In that case, CL stability involves both Q and S: (I − QS) −1 ∈ RH ∞ [5].…”
Section: Structures 7 Andmentioning
confidence: 99%
“…The original method in [10] for LTI systems is extended for LPV systems in [11]. This method is used here once double coprime factorization of the controller/model set is obtained.…”
Section: B Hansen Scheme For Lpv Systemsmentioning
confidence: 99%
“…Using the Hansen scheme proposed in [10], one can transform the CL problem into an OL-like identification problem. The same has been used and extended to LPV systems [11] inside of the Danish research program entitled Plug and Play Process Control [12]. Identification of coupled dynamics in heat distribution systems [13], and identification of actuators/sensors in the latter [14] were carried out into the project, showing promising model results.…”
Section: Introductionmentioning
confidence: 99%
“…Because of the correlation between the noise and the input of the plant, the open loop methods usually cannot be used to estimate the closed-loop system accurately [6][7][8][9]. The closed-loop estimation methods contain the direct method, the indirect method, and the joint inputoutput method [7,10,11].…”
Section: Introductionmentioning
confidence: 99%