Frequency-Dependent Magnitude Bounds of the Generalized Frequency Response Functions for NARX Model
نویسندگان
چکیده
New magnitude bounds of the frequency response functions for the Nonlinear AutoRegressive model with eXogenous input (NARX) are investigated by exploiting the symmetry of the nth-order generalized frequency response function (GFRF) in its n frequency variables. The new magnitude bound of the nth-order symmetric GFRF is frequency-dependent, and is a polynomial function of the magnitude of the first order GFRF. The coefficients of this polynomial function are functions of model parameters. Based on this result, the system output spectrum can also be bounded by an analytical polynomial function of the magnitude of the first order GFRF. The conservatism in the bound evaluations is reduced compared with previous results. Several examples and necessary discussions illustrate the potential application and effectiveness of the new results.
منابع مشابه
New bound characteristics of NARX model in the frequency domain
New results about the bound characteristics of both the generalized frequency response functions (GFRFs) and the output frequency response for the NARX (Nonlinear AutoRegressive model with eXogenous input) model are established. It is shown that the magnitudes of the GFRFs and the system output spectrum can all be bounded by a polynomial function of the magnitude bound of the first order GFRF, ...
متن کاملNew Results on the Generalized Frequency Response functions of Nonlinear Volterra Systems Described by NARX model
Abstract: In order that the nth-order Generalized Frequency Response Function (GFRF) for nonlinear systems described by a NARX model can be directly written into a more straightforward and meaningful form in terms of the first order GFRF and model parameters, the nth-order GFRF is now determined by a new mapping function based on a parametric characteristic. This can explicitly unveil the linea...
متن کاملOn the confidence bounds of Gaussian process NARX models and their higher-order frequency response functions
One of the most powerful and versatile system identification frameworks of the last three decades is the NARMAX/NARX approach, which is based on a nonlinear discrete-time representation. Recent advances in machine learning have motivated new functional forms for the NARX model, including one based on Gaussian processes (GPs), which is the focus of this paper. Because of their nonparametric form...
متن کاملBifurcation and Chaos in Size-Dependent NEMS Considering Surface Energy Effect and Intermolecular Interactions
The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...
متن کاملEstimation of kinematic source parameters and frequency independent shear wave quality factor around Bushehr
In this paper, the shear wave quality factor and source parameters in the near field are estimated by analyzing the acceleration data in Zagros region. Accelerograms recorded by Building and Houses Research Center strong ground motion network have been used. The data have been considered with the magnitude of 4.7 to 6.3 collected from 1999 to 2014. In this approach, the theoretical S-wave displ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Eur. J. Control
دوره 15 شماره
صفحات -
تاریخ انتشار 2009