The Experts below are selected from a list of 1595283 Experts worldwide ranked by ideXlab platform
Xingjian Jing - One of the best experts on this subject based on the ideXlab platform.
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an simo Nonlinear system approach to analysis and design of vehicle suspensions
IEEE-ASME Transactions on Mechatronics, 2015Co-Authors: Zhenlong Xiao, Xingjian JingAbstract: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.
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frequency domain analysis and design of Nonlinear systems based on volterra series expansion a parametric characteristic approach
2015Co-Authors: Xingjian Jing, Z Q LangAbstract:1 Introduction.- 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems.- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues.- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study.- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum.- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions.- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems.- 15 Summary and Overview.- References. 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems.- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues.- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study.- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum.- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions.- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems.- 15 Summary and Overview.- References.
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Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design
IEEE-ASME Transactions on Mechatronics, 2014Co-Authors: Xingjian JingAbstract:A systematic method for Nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-Nonlinear characteristic output spectrum (nCOS). The nCOS function is an analytical and explicit expression for the relationship between Nonlinear output spectrum and system characteristic parameters of interest (including frequency, Nonlinear parameters, and excitation magnitude), and can provide a significant insight into Nonlinear analysis and design in the frequency domain. Given some simulation or experimental output data of a Nonlinear system, the nCOS function of the system can be accurately determined up to any high Nonlinear orders with less simulation trials and computation cost compared with a pure simulation-based study or traditional theoretical computations. Moreover, the method can also be used to accurately determine the linear and Nonlinear components in the Nonlinear output frequency response (or an output spectrum) of a Nonlinear system. These results are definitely of significance to Nonlinear analysis and design, Nonlinear signal processing, system identification, fault detection, etc., in practice. Examples and case studies including analysis of a Nonlinear vehicle suspension system are given to illustrate the results.
Yuri S Kivshar - One of the best experts on this subject based on the ideXlab platform.
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Nonlinear wavefront control with all dielectric metasurfaces
Nano Letters, 2018Co-Authors: Lei Wang, Sergey Kruk, Kirill Koshelev, Ivan I Kravchenko, Barry Lutherdavies, Yuri S KivsharAbstract:Metasurfaces, two-dimensional lattices of nanoscale resonators, offer unique opportunities for functional flat optics and allow the control of the transmission, reflection, and polarization of a wavefront of light. Recently, all-dielectric metasurfaces reached remarkable efficiencies, often matching or out-performing conventional optical elements. The exploitation of the Nonlinear optical response of metasurfaces offers a paradigm shift in Nonlinear optics, and dielectric Nonlinear metasurfaces are expected to enrich subwavelength photonics by enhancing substantially Nonlinear response of natural materials combined with the efficient control of the phase of Nonlinear waves. Here, we suggest a novel and rather general approach for engineering the wavefront of parametric waves of arbitrary complexity generated by a Nonlinear metasurface. We design all-dielectric Nonlinear metasurfaces, achieve a highly efficient wavefront control of a third-harmonic field, and demonstrate the generation of Nonlinear beams a...
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Nonlinear guided waves and spatial solitons in a periodic layered medium
Journal of The Optical Society of America B-optical Physics, 2002Co-Authors: Andrey A Sukhorukov, Yuri S KivsharAbstract:We present an overview of the properties of Nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by linear and Nonlinear waveguides. First we consider a single layer with a cubic Nonlinear response (a Nonlinear slab waveguide) embedded in a periodic layered linear medium and describe Nonlinear localized modes (guided waves and Bragg-like localized gap modes) and their stability. Then we study modulational instability as well as the existence and stability of discrete spatial solitons in a periodic array of identical Nonlinear layers, a one-dimensional model of Nonlinear photonic crystals. We emphasize both similarities to and differences from the models described by the discrete Nonlinear Schrodinger equation, which is derived in the tight-binding approximation, and the coupled-mode theory, which is valid for shallow periodic modulations.
Petersen, Ian R. - One of the best experts on this subject based on the ideXlab platform.
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Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems
2020Co-Authors: Shi Kanghong, Vladimirov, Igor G., Petersen, Ian R.Abstract:This paper provides a control protocol for the robust output feedback consensus of networked heterogeneous Nonlinear negative-imaginary (NI) systems. Heterogeneous Nonlinear output strictly negative-imaginary (OSNI) controllers are applied in positive feedback according to the network topology to achieve output feedback consensus. The main contribution of this paper is extending the previous studies of the robust output feedback consensus problem for networked heterogeneous linear NI systems to Nonlinear NI systems. Output feedback consensus is proved by investigating the internal stability of the closed-loop interconnection of the network of heterogeneous Nonlinear NI plants and the network of heterogeneous Nonlinear OSNI controllers through the network topology. The network of heterogeneous Nonlinear NI systems is proved to be also a Nonlinear NI system, and the network of heterogeneous Nonlinear OSNI systems is proved to be a Nonlinear NI system. Under suitable conditions, the Nonlinear OSNI controllers lead to the convergence of the outputs of all Nonlinear NI plants to a common limit trajectory, regardless of the system model of each plant. Hence, the protocol is robust with respect to uncertainty in the system models of the heterogeneous Nonlinear NI plants in the network. This paper also describes some typical first-order and second-order Nonlinear OSNI systems that can be used as controllers for the robust output feedback consensus of heterogeneous Nonlinear NI plants.Comment: 7 pages, 9 figure
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Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems
2020Co-Authors: Shi Kanghong, Vladimirov, Igor G., Petersen, Ian R.Abstract:This paper provides a control protocol for the robust output feedback consensus of networked heterogeneous Nonlinear negative-imaginary (NI) systems. Heterogeneous Nonlinear output strictly negative-imaginary (OSNI) controllers are applied in positive feedback according to the network topology to achieve output feedback consensus. The main contribution of this paper is extending the previous studies of the robust output feedback consensus problem for networked heterogeneous linear NI systems to Nonlinear NI systems. Output feedback consensus is proved by investigating the internal stability of the closed-loop interconnection of the network of heterogeneous Nonlinear NI plants and the network of heterogeneous Nonlinear OSNI controllers according to the network topology. The network of heterogeneous Nonlinear NI systems is proved to be also a Nonlinear NI system, and the network of heterogeneous Nonlinear OSNI systems is proved to be also a Nonlinear OSNI system. Under suitable conditions, the Nonlinear OSNI controllers lead to the convergence of the outputs of all Nonlinear NI plants to a common limit trajectory, regardless of the system model of each plant. Hence, the protocol is robust with respect to parameter perturbation in the system models of the heterogeneous Nonlinear NI plants in the network.Comment: 6 pages, 9 figure
Zongxiu Nie - One of the best experts on this subject based on the ideXlab platform.
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Nonlinear ion harmonics in the paul trap with added octopole field theoretical characterization and new insight into Nonlinear resonance effect
Journal of the American Society for Mass Spectrometry, 2016Co-Authors: Caiqiao Xiong, Xiaoyu Zhou, Ning Zhang, Lingpeng Zhan, Yongtai Chen, Zongxiu NieAbstract:The Nonlinear harmonics within the ion motion are the fingerprint of the Nonlinear fields. They are exclusively introduced by these Nonlinear fields and are responsible to some specific Nonlinear effects such as Nonlinear resonance effect. In this article, the ion motion in the quadrupole field with a weak superimposed octopole component, described by the Nonlinear Mathieu equation (NME), was studied by using the analytical harmonic balance (HB) method. Good accuracy of the HB method, which was comparable with that of the numerical fourth-order Runge-Kutta (4th RK), was achieved in the entire first stability region, except for the points at the stability boundary (i.e., beta = 1) and at the Nonlinear resonance condition (i.e., beta = 0.5). Using the HB method, the Nonlinear 3 beta harmonic series introduced by the octopole component and the resultant Nonlinear resonance effect were characterized. At Nonlinear resonance, obvious resonant peaks were observed in the Nonlinear 3 beta series of ion motion, but were not found in the natural harmonics. In addition, both resonant excitation and absorption peaks could be observed, simultaneously. These are two unique features of the Nonlinear resonance, distinguishing it from the normal resonance. Finally, an approximation equation was given to describe the corresponding working parameter, q (nr) , at Nonlinear resonance. This equation can help avoid the sensitivity degradation due to the operation of ion traps at the Nonlinear resonance condition.
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study of Nonlinear resonance effect in paul trap
Journal of the American Society for Mass Spectrometry, 2013Co-Authors: Xiaoyu Zhou, Caiqiao Xiong, Shuo Zhang, Ning Zhang, Zongxiu NieAbstract:In this article, we investigated the Nonlinear resonance effect in the Paul trap with a superimposed hexapole field, which was assumed as a perturbation to the quadrupole field. On the basis of the Poincare-Lighthill-Kuo (PLK) perturbation method, ion motional equation, known as Nonlinear Mathieu equation (NME) was expressed as the addition of approximation equations in terms of perturbation order. We discussed the frequency characteristics of ion axial-radial (z-r) coupled motion in the Nonlinear field, derived the expressions of ion trajectories and Nonlinear resonance conditions, and found that the mechanism of Nonlinear resonance is similar to the normal resonance. The frequency spectrum of ion motion in Nonlinear field includes not only the natural frequency series but also Nonlinear introduced frequency series, which provide the driving force for the Nonlinear resonance. The Nonlinear field and the Nonlinear effects are inevitable in practical ion trap experiments. Our method provides better understanding of these Nonlinear effects and would be helpful for the instrumentation for ion trap mass spectrometers.
Andrea Alu - One of the best experts on this subject based on the ideXlab platform.
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Nonlinear metasurfaces: a paradigm shift in Nonlinear optics
Materials Today, 2018Co-Authors: Alexander Krasnok, Mykhailo Tymchenko, Andrea AluAbstract:Frequency conversion processes, such as second- and third-harmonic generation, are commonly realized in Nonlinear optics, offering opportunities for applications in photonics, chemistry, material science and biosensing. Given the inherently weak Nonlinear response of natural materials, optically large samples and complex phase-matching techniques are typically required to realize significant Nonlinear responses. To produce similar effects in much smaller volumes, current research has been devoted to the quest of synthesizing novel materials with enhanced optical Nonlinearities at moderate input intensities. In particular, several approaches to engineer the Nonlinear properties of artificial materials, metamaterials and metasurfaces have been introduced. Here, we review the current state of the art in the field of small-scale Nonlinear optics, with special emphasis on high-harmonic generation from ultrathin metasurfaces based on plasmonic and high-index dielectric resonators, as well as semiconductor-loaded plasmonic metasurfaces. In this context, we also discuss recent advances in controlling the optical wavefront of generated Nonlinear waves using metasurfaces. Finally, we compare viable approaches to enhance Nonlinearities in ultrathin metasurfaces, and we offer an outlook on the future development of this exciting field of research.
