Control and Dynamic Systems (Neural Network Systems - download pdf or read online

By Cornelius T. Leondes

The e-book emphasizes neural community buildings for attaining functional and powerful platforms, and gives many examples. Practitioners, researchers, and scholars in commercial, production, electric, mechanical,and creation engineering will locate this quantity a different and entire reference resource for various program methodologies.Control and Dynamic structures covers the $64000 subject matters of powerful Orthogonal Activation functionality established Neural community procedure structure, multi-layer recurrent neural networks for synthesizing and imposing real-time linear control,adaptive keep an eye on of unknown nonlinear dynamical structures, optimum monitoring Neural Controller recommendations, a attention of unified approximation concept and functions, suggestions for the selection of multi-variable nonlinear version buildings for dynamic structures with an in depth remedy of suitable approach version enter selection, excessive Order Neural Networks and Recurrent excessive Order Neural Networks, excessive Order second Neural Array platforms, on-line studying Neural community controllers, and Radial Bias functionality thoughts. Key FeaturesCoverage includes:* Orthogonal Activation functionality established Neural community process structure (OAFNN)* Multilayer recurrent neural networks for synthesizing and enforcing real-time linear keep watch over* Adaptive keep an eye on of unknown nonlinear dynamical structures* optimum monitoring Neural Controller thoughts* attention of unified approximation conception and functions* ideas for identifying multivariable nonlinear version buildings for dynamic structures, with a close remedy of suitable process version enter selection

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Example text

A frequency transfer function identification was made with signals being sampled through a 16-bit successive approximation type MD converter and a filter. The transfer function G ( f ) was calculated using G ( f ) = Y ( f ) X * ( f ) / [ X ( f ) X * ( f ) ] , where X ( f ) is the Fourier transform of the input signal, X* ( f ) is its complex conjugate, and Y ( f ) is the Fourier transform of the output signal. The NNSA was implemented in an off-line manner by using stored input-output data for training.

I! Satisfied"- ~ ,NotSatisfied ! Phase < - 180 degrees ? No, Using Lead Compensation . i I . ~ Determine ~m and [3 Using Lag-Lead Compensation I Select New Crossover Frequency o ~ .... ........ Find Comer Frequencies for Lag Portion Determine Corner Frequencies . . .... I Modify K Determine l~m & Comer Frequencies for Lead Portion . . . I Reset Controller with New Parameters . . I . Figure 18 Recursivedesignflow chart for a lead-lag compensator. Chaoying Zhu et al. 02 have severe oscillatory response.

2P = - 2 E ( e ~ ) . (22) Chaoying Zhu et al. 18 The optimum weight vector ~, which makes the gradient zero, is ~ = R 1p which is the same result as determined when using a linear regression analysis method. However, researchers have pointed out the advantages of using iterative learning of neural networks over conventional linear regression methods [18, 19]. The weight adaptation principle is given as A u A ~ ~ A - W(k - 1) - ~ A = ~ ( k - 1) + 8E(e~(t)), (23) where ~ is the learning rate. rnax is the maximum eigenvalue of the autocorrelation matrix, R.

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