Topic
Volterra series
About: Volterra series is a research topic. Over the lifetime, 2731 publications have been published within this topic receiving 46199 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, the parametric convergence bounds for Volterra series expansion of nonlinear systems described by a SIMO nonlinear auto-regressive with exogenous inputs model are studied in the frequency domain.
Abstract: Vehicle suspension (or vibration control) systems are usually inherently nonlinear and can be modeled as single input multiple output (SIMO) system. In this paper, parametric convergence bounds for Volterra series expansion of nonlinear systems described by a SIMO nonlinear auto-regressive with exogenous inputs model are studied in the frequency domain, which can clearly indicate the parametric range in which a given nonlinear system has a convergent Volterra series expansion, referred to as parametric bound of convergence (PBoC). With the resulting PBoC of characteristic parameters, nonlinear systems with a nonlinear multiobjective performance (MOP) function can then be analyzed in the frequency domain using a nonlinear characteristic output spectrum method based on the Volterra series expansion. To demonstrate the results and method above, a vehicle suspension system, which is taken as a typical SIMO nonlinear system with a MOP function to optimize, is investigated. The results demonstrate a systematic and novel method for nonlinear analysis and design.
14 citations
TL;DR: In this paper, a robust nonlinear model predictive controller based on a Volterra series model with uncertain coefficients is proposed for single-input-single-output continuous stirred tank reactor problem and pH neutralization process.
14 citations
TL;DR: In this article, the mean upcrossing rate of stationary stochastic processes that can be represented as second order stochastically Volterra series (SVO) series is calculated.
14 citations
TL;DR: In this paper, the effects of second-order non-linear random waves on the structural response of offshore platforms are investigated based on frequency-domain Volterra-series approach and previously proposed correlation function/FFT-based cumulant spectral method.
Abstract: In this study, the effects of second-order non-linear random waves on the structural response of slender fixed offshore platforms are investigated based on frequency-domain Volterra-series approach and previously proposed correlation function/FFT-based cumulant spectral method. The cumulants of non-Gaussian water particle kinematics are derived and, Morison force is approximated in cubic functional transformations of Gaussian processes. Volterra series is applied to evaluate the power spectra of wave force and induced structural displacement. The more convenient and more efficient power spectral and tri-spectral analyses by cumulant spectral method are presented as well. The thereby estimated variance, skewness and kurtosis excess agree well with time-domain simulation results. It is found that non-linear wave effects result in stronger non-Gaussian behavior of wave force and structural response, especially in seas of finite water depth.
14 citations
TL;DR: In this paper, the authors discuss the realization of Volterra series by finite and infinite dimensional bilinear systems with various weights and observe that realizing a given VOLTERRA series with different weights leads naturally to a particularly interesting class of linear systems with a rich mathematical structure.
Abstract: In this paper we discuss the realization of Volterra series by finite and infinite dimensional bilinear systems. We observe that realizing a given Volterra series with various weights leads naturally to a particularly interesting class of bilinear systems with a rich mathematical structure. We are able to use certain results on the shift realization of linear systems to arrive at a suitable analog of shift realizations for bilinear realizations.
14 citations