Output Frequency Response Function based Analysis for Nonlinear Volterra Systems
نویسندگان
چکیده
Analysis of nonlinear systems has been studied extensively. Based on some recently developed results, a new systematic approach to the analysis of nonlinear Volterra systems in the frequency domain is proposed in this paper, which provides a novel insight into the frequency domain analysis and design of nonlinear systems subject to a general input instead of only specific harmonic inputs using input-output experimental data. A general procedure to conduct an output frequency response function (OFRF) based analysis is given, and some fundamental results and techniques are established for this purpose. A case study for the analysis of a circuit system is provided to illustrate this new frequency domain method.
منابع مشابه
The Properties of Output Frequencies of Nonlinear Volterra Systems
Nonlinear systems usually have complicated output frequencies in the frequency domain. For the class of nonlinear Volterra systems, some interesting properties for system output frequencies are studied in this paper. These properties provide a novel insight into the output frequencies of Volterra systems, i.e., the periodicity of the output frequencies. They also demonstrate several novel frequ...
متن کاملSwitched-Mode Power Converters
A new modeling approach for the spectral analysis of pulsewidth modulated (PWM) converters with independent inputs is developed. The key of this approach is to extend the Volterra functional series to nonlinear systems with multiple independent inputs. After formulating the state-space equations describing the dynamical behavior of PWM converters, the Volterra transfer function characterizing t...
متن کاملNonlinear System Identification Based on Reduced Complexity Volterra Models
Conventional Volterra series model is hardly applied to engineering practice due to its parametric complexity and estimation difficulty. To solve this problem, nonlinear system identification using reduced complexity Volterra models is proposed. Since the nonlinear components often play a secondary role compared to the dominant, linear component of the system, they spend the most of identificat...
متن کاملProperties of Output Frequencies of Volterra Systems
For a class of nonlinear systems, referred to as Volterra systems, some important properties for system output frequencies are studied in this paper. These properties demonstrate several novel frequency characteristics of system output spectrum and reveal clearly the nonlinear effects on system output spectrum from different kind and degree of nonlinearities. These new results have significance...
متن کاملA New Frequency Domain Representation and Analysis For Subharmonic Oscillation
For a weakly nonlinear oscillator, the frequency domain Volterra kernels, often called the generalised frequency response functions, can provide accurate analysis of the response in terms of amplitudes and frequencies, in a transparent algebraic way. However a Volterra series representation based analysis will become void for nonlinear oscillators that exhibit subharmonics, and the problem of f...
متن کامل