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Sökning: WFRF:(Bereza Jarocinski Robert) > (2021) > Identification of N...

Identification of Non-Linear Differential-Algebraic Equation Models with Process Disturbances

Abdalmoaty, Mohamed R. H., 1986- (författare)
KTH,Reglerteknik,System Identification,KTH, Reglerteknik
Eriksson, Oscar (författare)
KTH,Programvaruteknik och datorsystem, SCS,KTH, Programvaruteknik och datorsystem, SCS
Bereza-Jarocinski, Robert (författare)
KTH,Reglerteknik,KTH, Reglerteknik
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Broman, David, 1977- (författare)
KTH,Programvaruteknik och datorsystem, SCS,KTH, Programvaruteknik och datorsystem, SCS
Hjalmarsson, Håkan, 1962- (författare)
KTH, Reglerteknik
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 (creator_code:org_t)
IEEE, 2021
2021
Engelska.
Ingår i: 2021 60th IEEE Conference on Decision and Control (CDC). - : IEEE. - 9781665436595 - 9781665436588 - 9781665436601 ; , s. 2300-2305
  • Konferensbidrag (refereegranskat)
Abstract Ämnesord
Stäng  
  • Differential-algebraic equations (DAEs) arise naturally as a result of equation-based object-oriented modeling. In many cases, these models contain unknown parameters that have to be estimated using experimental data. However, often the system is subject to unknown disturbances which, if not taken into account in the estimation, can severely affect the model's accuracy. For non-linear state-space models, particle filter methods have been developed to tackle this issue. Unfortunately, applying such methods to non-linear DAEs requires a transformation into a state-space form, which is particularly difficult to obtain for models with process disturbances. In this paper, we propose a simulation-based prediction error method that can be used for non-linear DAEs where disturbances are modeled as continuous-time stochastic processes. To the authors' best knowledge, there are no general methods successfully dealing with parameter estimation for this type of model. One of the challenges in particle filtering  methods are random variations in the minimized cost function due to the nature of the algorithm. In our approach, a similar phenomenon occurs and we explicitly consider how to sample the underlying continuous process to mitigate this problem. The method is illustrated numerically on a pendulum example. The results suggest that the method is able to deliver consistent estimates.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Nyckelord

Nonlinear Identification
Process Disturbance
Differential-Algebraic Equations
Parameter Estimation
Simulated PEM

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