Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review

CM Cheng, ZK Peng, WM Zhang, G Meng - Mechanical Systems and Signal …, 2017 - Elsevier
Nonlinear problems have drawn great interest and extensive attention from engineers,
physicists and mathematicians and many other scientists because most real systems are …

Frequency-domain analysis and design of linear feedback of nonlinear systems and applications in vehicle suspensions

Z Xiao, X Jing - IEEE/ASME transactions on mechatronics, 2015 - ieeexplore.ieee.org
Nonlinear vibration control systems (both passive and active) always involve parameter
design and performance optimization tasks. A systematic and novel frequency-domain …

Nonlinear identification of MDOF systems using Volterra series approximation

J Prawin, ARM Rao - Mechanical Systems and Signal Processing, 2017 - Elsevier
Most of the practical engineering structures exhibit nonlinearity due to nonlinear dynamic
characteristics of structural joints, nonlinear boundary conditions and nonlinear material …

A new convergence analysis for the Volterra series representation of nonlinear systems

YP Zhu, ZQ Lang - Automatica, 2020 - Elsevier
The convergence of the Volterra series representation of nonlinear systems is the
fundamental requirement for the analysis of nonlinear systems in the frequency domain. In …

Identification of cascade dynamic nonlinear systems: A bargaining-game-theory-based approach

Z Xiao, S Shan, L Cheng - IEEE Transactions on Signal …, 2018 - ieeexplore.ieee.org
Cascade dynamic nonlinear systems can describe a wide class of engineering problems,
but little efforts have been devoted to the identification of such systems so far. One of the …

An SIMO nonlinear system approach to analysis and design of vehicle suspensions

Z Xiao, X Jing - IEEE/ASME Transactions on Mechatronics, 2015 - ieeexplore.ieee.org
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 …

A novel characteristic parameter approach for analysis and design of linear components in nonlinear systems

Z Xiao, X Jing - IEEE transactions on signal processing, 2016 - ieeexplore.ieee.org
Nonlinearity always brings difficulties to the analysis and design of practical systems. This
study shows that, for a wide class of nonlinear systems described by nonlinear differential …

[HTML][HTML] A novel failure analysis and diagnosis method for hydraulic-turbine generator unit

X Xia, W Ni - Journal of Vibroengineering, 2016 - extrica.com
The failure analysis and diagnosis of hydraulic-turbine generator unit (HGU) is important to
protect the safety and stability of the electric system. But failure analysis and diagnosis for …

On convergence of volterra series expansion of a class of nonlinear systems

X Jing, Z Xiao - Asian Journal of Control, 2017 - Wiley Online Library
A fundamental issue in conducting the analysis and design of a nonlinear system via
Volterra series theory is how to ensure the excitation magnitude and/or model parameters …

The Convergence of the Volterra Series Representation of Nonlinear Systems

Y Zhu, Y Zhu - Analysis and Design of Nonlinear Systems in the …, 2021 - Springer
In this chapter, a new criterion is derived to determine the convergence of the Volterra series
representation of nonlinear systems described by a NARX model. The analysis is performed …