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Identification of a...
Identification of a Class of Nonlinear Dynamical Networks⁎
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- Abdalmoaty, Mohamed R., 1986- (author)
- KTH,Reglerteknik,KTH, Reglerteknik,ACCESS Linnaeus Centre
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- Rojas, Cristian R., 1980- (author)
- KTH,Reglerteknik,KTH, Reglerteknik,ACCESS Linnaeus Centre
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- Hjalmarsson, Håkan, 1962- (author)
- KTH,Reglerteknik,KTH, Reglerteknik,ACCESS Linnaeus Centre
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(creator_code:org_t)
- Elsevier B.V. 2018
- 2018
- English.
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In: IFAC-PapersOnLine. - : Elsevier B.V.. - 2405-8963. ; 51:15, s. 868-873
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Abstract
Subject headings
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- Identification of dynamic networks has attracted considerable interest recently. So far the main focus has been on linear time-invariant networks. Meanwhile, most real-life systems exhibit nonlinear behaviors; consider, for example, two stochastic linear time-invariant systems connected in series, each of which has a nonlinearity at its output. The estimation problem in this case is recognized to be challenging, due to the analytical intractability of both the likelihood function and the optimal one-step ahead predictors of the measured nodes. In this contribution, we introduce a relatively simple prediction error method that may be used for the estimation of nonlinear dynamical networks. The estimator is defined using a deterministic predictor that is nonlinear in the known signals. The estimation problem can be defined using closed-form analytical expressions in several non-trivial cases, and Monte Carlo approximations are not necessarily required. We show, that this is the case for some block-oriented networks with no feedback loops and where all the nonlinear modules are polynomials. Consequently, the proposed method can be applied in situations considered challenging by current approaches. The performance of the estimation method is illustrated on a numerical simulation example.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
Keyword
- Block-Oriented Models
- Dynamical Networks
- Prediction Error Method
- Stochastic Systems
- System Identification
- Estimation
- Identification (control systems)
- Invariance
- Linear systems
- Numerical methods
- Real time systems
- Stochastic models
- Time varying control systems
- Analytical expressions
- Block oriented model
- Likelihood functions
- Linear time invariant networks
- Linear time invariant systems
- Monte-carlo approximations
- Nonlinear analysis
- Electrical Engineering
Publication and Content Type
- ref (subject category)
- art (subject category)
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