2007
DOI: 10.1016/j.asoc.2006.06.007
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Neural network algorithm for parameter identification of dynamical systems involving time delays

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Cited by 20 publications
(7 citation statements)
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“…,  (20) where NM m denotes the B-spline network which is used to calculate k p and k i ; w ρ is the corresponding weighting factor; m = 1,2,3 number of PI controllers. Fig.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…,  (20) where NM m denotes the B-spline network which is used to calculate k p and k i ; w ρ is the corresponding weighting factor; m = 1,2,3 number of PI controllers. Fig.…”
Section: Resultsmentioning
confidence: 99%
“…[10] adaptive PID gains for each controller to achieve satisfactory performance is proposed. The use of neural networks to model chaotic systems and nonlinear identification problems has attracted considerable attention in recent years [20]. Neural networks are originally inspired by the functionality of biological neural networks, which can learn complex functional relations based on a limited number of training data.…”
Section: Introductionmentioning
confidence: 99%
“…For the conventional linear rule, each component of the potential simply is a quadratic polynomial 1 2 e 2 i . However, for the nonlinear rule, the corresponding potential has a relatively flatter well due to the boundedness and nonlinearity of each function g i (e i ) in (6). Besides, the adaptive rules for the coupling terms, which could be regarded as the friction force acting on the particle, are invariant in design of the response system (3).…”
Section: Next It Is To Prove That Any Trajectory [ Y(t) B(t) (T) mentioning
confidence: 99%
“…Investigations of the second question have generated enormous literature on the technique of parameters identification in various dynamical models. Representative examples include: least-squares fitting algorithm was developed for parameters identification in the Hodgkin-Huxley model [1]; evolution strategy with a fitness function was utilized to estimate those parameters in the Purkinje Cells model [2,5]; neural networks learning technique was implemented to identify the accurate form of models with or without time delays [6]; extended Kalman filter and the unscented Kalman filter were applied to estimate the reaction rate in biochemical networks [7,8]. Apart from techniques used in parameters identification for models with known vector forms, rational or polynomial L 2 approximation and successive derivatives as embedding coordinates are managed to reconstruct a standard system from scalar observable time series in some typical systems [9,10] and some experimental cases [11] where the vector forms are presumably unknown.…”
Section: Introductionmentioning
confidence: 99%
“…The application of ANN makes possible to reduce considerably the laboratory experiment time while networks learn how to predict properties of insulation for duration longer than those of the tests thus constituting a tool making more economic the tests of high voltage in general. ANN method is more accurately applied to Dissolved Gas Analysis since the hidden relationships between fault types and dissolved gases can be recognized by ANN through training process [12][13][14][15].…”
Section: Artificial Neural Network Application To Dgamentioning
confidence: 99%