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2 edition of Frequency-domain theory and optimisation for nonlinear systems found in the catalog.

Frequency-domain theory and optimisation for nonlinear systems

C. Riddalls

Frequency-domain theory and optimisation for nonlinear systems

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Published by Univeristy of Sheffield, Dept. of Automatic Control and Systems Engineering in Sheffield .
Written in English


Edition Notes

StatementC. Riddalls, S.P. Banks and D.McCaffrey. 696.
SeriesResearch report / University of Sheffield. Department of Automatic Control and Systems Engineering -- no.696, Research report (University of Sheffield. Department of Automatic Control and Systems Engineering) -- no.696.
ContributionsBanks, Stephen P. 1949-, McCaffrey, D.
ID Numbers
Open LibraryOL17274706M

Optimal Control and Estimation for a UAV Helicopter Control of Output Trajectories in Networks of Phase Oscillators using an ANN Mode-Based Predictive Algorithm Identification and Control of an HIV Dynamic Model Using a State-Dependent Linear-Quadratic Controller and Nonlinear Estimation State Estimation and Feedback Control for a Pitching Airfoil. This article presents a new nonlinear analysis method of the microwave circuits under multitone excitation. A frequency‐domain diode model and an adaptable spectral balance algorithm are first proposed and the full nonlinear analysis is performed entirely in the frequency domain for a microwave mixer driven by multitone signals. Some frequency‐conversion performances of mixer are.


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Frequency-domain theory and optimisation for nonlinear systems by C. Riddalls Download PDF EPUB FB2

Symbol definition reference Bp space of piecewise continuous, bounded functions p. 7 Bu best linear approximation p. 25 CS class of uniformly convergent systems p.

16 DS sinusoidal input describing function p. 21 DG generalized describing function p. 21 Fp fundamental HOSIDF of order p p. 42 G nonlinear Bode plot p. 18 G set of Gaussian signals p. 8 Geq set of Gaussian equivalent signals p. 26Author: DJ David Rijlaarsdam.

Demonstration of Nonlinear Frequency Domain Methods Matthew McMullen, This research proposes the nonlinear frequency domain (NLFD) method which employs a similar pseudospectral approach but the subject of shock capturing theory, and is not the focus of this research.

Any artificial dissipation provided by shock capturing. thefrequencydomain. Given the myriad approaches to nonlinear systems analysis, wefelt that it might help the readertostate explicitly howourapproachdiffers fromthemethodsofothers.

Thisprocedure is not simply white noise analysis in the frequency domain (e.g., French, ), because we. Nonlinear vibration control systems (both passive and active) always involve parameter design and performance optimization tasks.

A systematic and novel frequency-domain method is established to. A method is developed for the analysis of nonlinear biological systems based on an input temporal signal that consists of a sum of a large number of sinusoids.

Nonlinear properties of the system are manifest by responses at harmonics and intermodulation frequencies of the input by: Stability analysis based on frequency domain methods for nonlinear systems.

Through a simple nonlinear optimisation technique it is also possible to determine the predicted quasi-periodic or. effects to provide an interpretation of the underlying systems nonlinear characteristics. Representations of Nonlinear Systems in the Time- and Transform-Domain It is well known that a nonlinear system can be described in the time domain by the input/output representation yn(t) = J) dti (1) which is called the Volterra functional Size: 6MB.

between the output frequency response of nonlinear systems and the parameters which define the system nonlinearities and can be used to facilitate both the analysis and design of nonlinear systems in the frequency domain [].

The HOSIDF can be considered as a special case of the OFRF [20]. The NOFRFs based approach for the analysis of nonlinear systems in the frequency domain Nonlinear Output Frequency Response Functions (NOFRFs) Let y k and u k respectively denote the output and input of a discrete time fading memory system (Boyd & Chua, ) with a zero equilibrium, and k represent the discrete by: 7.

This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years.

The GFRFs and nonlinear output spectrum are developed for Wiener systems firstly, and then extended to other models. Consider the Wiener model given by (7a,b) u (t) = g ° r (t) and y (t) = f (u (t)) where “°” represents the convolution operator, g(t) is the impulse response of the linear part, and f(u(t)) is the static nonlinear part of the linear part is defined as a stable Cited by: Frequency domain analysis of nonlinear systems: general theory Abstract: A unified study of the applications of Volterra functional series to nonlinear-system analysis is presented with special emphasis on frequency-domain results which either have not been published before, or.

The nonlinear response of prototypical structures experiencing harmonic excitation is studied using novel techniques called iterative harmonic analysis (IHA) and iterative modal analysis (IMA).

First, a simple damped oscillator with a cubic hardening stiffness nonlinearity is studied, and IHA is used in this single-degree-of-freedom system.

In this first section, a high-order harmonic balance Author: Dean Culver, Earl Dowell. 2 An Introduction to Feedback Control in Systems Biology control theory, •focuses on the essential ideas and concepts from control theory that have found applicability in the Systems Biology research literature, including basic linear introductory material but also more advanced nonlinear techniques.

Purchase Nonlinear Systems and Applications - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. () Frequency-domain L 2-stability conditions for time-varying linear and nonlinear MIMO systems.

Control Theory and Technology() Output feedback control of Cited by: The Frequency Domain Behavioral Modeling and Simulation of Nonlinear Analog Circuits and Systems by Philip J. Lunsford, II A thesis submitted to the Graduate Faculty of North Carolina State University in partial fulfillment of the requirements for the Degree of Doctor of Philosophy Department of Electrical and Computer Engineering Raleigh, NC File Size: KB.

Previous efforts at nonlinear frequency-domain simulation were based on the use of harmonic balance to formulate the frequency-domain equa-tions and an optimizer to solve them [4, 5, 6].

Using an optimizer to solve these equations results in the number of harmonics and nonlinear devices being severely limited. It is possible to remove this File Size: KB. MAPPING NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS INTO THE FREQUENCY DOMAIN S.A.

Billings, J.C. Peyton Jones. Dept. Engineering, University of Sheffield, Mappin Street, Sheffield Sl 3JD. Abstract: A recursive algorithm is derived which computes the generalised frequency response functions for a large class of nonlinear integro-differential File Size: 4MB. Introduction to Frequency-Domain Analysis of Continuous-Time, Linear and Time-Invariant Systems • Time-domain analysis of transient response • Fourier series of periodic Dirichlet signals • Bode plots of system frequency-response • Bilateral Fourier transform for zero-state response (ZSR)File Size: 2MB.

The study of nonlinear systems has received great attention in recent years because of the necessity of dealing with practical problems that cannot be modelled by linear representations.

Although the availability of greater computational power and advances in the field of system identification have allowed significant progresses towards modelling real world processes, a systematic method for.

frequency-domain analysis for the nonlinear double integrator is inevitable. As we know, a linear system is easy to perform frequency-domain analysis with respect to nonlinear one.

In the fol-lowing, based on the design of nonlinear double integrator, a simple linear double integrator will be designed (when α3 = 1), and Theorem 1 is presented File Size: 1MB.

Biophys J. Mar;29(3) A method of nonlinear analysis in the frequency domain. Victor J, Shapley R. A method is developed for the analysis of nonlinear biological systems based on an input temporal signal that consists of a sum of a large number of by: Frequency domain analysis of nonlinear systems In recent years, the eld of nonlinear systems identi cation (Billings, ) experienced great advances, providing a more attractive background for the design of engineering systems that can either better remove nonlinear distortions or even bene t.

Control engineering or control systems engineering is an engineering discipline that applies control theory to design systems with desired behaviors in control environments. The discipline of controls overlaps and is usually taught along with electrical engineering at many institutions around the world.

The practice uses sensors and detectors to measure the output performance of the process. Taking a different approach from standard thousand-page reference-style control textbooks, Fundamentals of Linear Control provides a concise yet comprehensive introduction to the analysis and design of feedback control systems in fewer than pages.

The text focuses on classical methods for dynamic linear systems in the frequency domain. FO systems. We also give the state space representations for these systems and comment on the controllability and observability. The exercise presented here conveys the fact that the time and frequency domain analysis of FO linear systems are very similar to that of the integer-order linear systems.

Chapter 5: Linear Systems. Most DSP techniques are based on a divide-and-conquer strategy called superposition. The signal being processed is broken into simple components, each component is processed individually, and the results reunited.

This approach has the tremendous power of breaking a single complicated problem into many easy ones. The noise component of the model, the K matrix, cannot be estimated using frequency domain data; it remains fixed to 0.

Nonlinear grey-box models are supported only for time-domain data. Nonlinear Black-Box Models. Nonlinear black box (nonlinear ARX and Hammerstein-Wiener models) cannot be estimated using frequency domain data. See Also. Benrejeb, M. (); Stability study of two level hierarchical nonlinear systems.

Large Scale Complex Systems Theory and Applications IFAC Symposium, Plenerylecture,Lille, 9(1), Borne, P.; Benrejeb, M. (); On the representation and the stability study of large scale systems, International Journal of Computers Communications and.

Control Systems. Lect.2 Modeling in The Frequency Domain. Basil Hamed Chapter Learning Outcomes Find the Laplace transform of time functions and the inverse Laplace transform (Sections ) Find the transfer function from a differential equation and solve the differential equation using the transfer function (Section ) Find the transfer function for linear, time-invariant electrical.

She is actively involved in research into nonlinear systems identification, data modelling, estimation and intelligent control, neural networks, pattern recognition, learning theory, and their applications. She has authored over research papers, and co-authored a research book.

Hong received the Donald Julius Groen Prize from IMechE in. The theory developed is based on tools from the center manifold theory, the theory of the steady-state response of nonlinear systems, and the theory of output regulation.

Our formalism is illustrated by means of several examples and can be easily adapted to the case of. theory and an exposure to optimization. Sontag’s book Mathematical Control The-ory [Son90] is an excellent survey. Further background material is covered in the texts Linear Systems [Kai80] by Kailath, Nonlinear Systems Analysis [Vid92] by Vidyasagar, Optimal Control: Linear Quadratic Methods [AM90] by File Size: 1MB.

A Comparative Study of Frequency-domain Finite Element Updating Approaches Using Different Optimization Procedures Xinjun DONG 1, Yang WANG * 1 School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GAUSA @ Key words: frequency-domain model updating, optimization procedures, sensitivity analysis.

systems can be extended to the analysis of non-linear systems. A limit cycle exists if i.e. if KG (jω)H(jω) =−1 K 1 G (j ω)H (j ω) =− Heating Room element on on off Typical limit cycle: off 4 2.

The describing function -description A describing function is an approximate frequency domain transfer function representing the nonlinearity. Introduction Nonlinear ESSI in DesignSummary Use of Nonlinear, Time Domain Analysis for Design Nebojša Orbovic,´ Boris Jeremic´, José Antonio Abell Mena, Chao Luo, Robert P.

Kennedy and Andrei Blaihoanu, SMiRT, Manchester, UK, August Jeremi´c et al. Nonlinear ESSI for Design. This book presents a unified frequency-domain method for the analysis of distributed control systems.

The following important topics are discussed by using the proposed frequency-domain method: (1) Scalable stability criteria of networks of distributed control systems; (2) Effect of heterogeneous delays on the stability of a network of distributed control system; (3) Stability of Internet.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract Simulation in the frequency-domain avoids many of the severe problems experienced when trying to use traditional time-domain simulators such as Spice [1] to find the steady-state behavior of analog, RF, and microwave circuits.

In particular, frequency-domain simulation eliminates problems from distributed. Symbolic computing has made a significant impact in the field of control engineering. This book, which brings together contributions from leading international experts in the field, provides an up-to-date treatment of various issues in system modelling, analysis, design and synthesis methods.

7 Algorithm for frequency domain analysis of nonlinear circuits 63 63 Fig. 3 – AM Demodulator. Fig. 4 – Diode u-i relationship.

The nonlinear element is replaced by a 10 Ω resistor in series with a voltage source, whose dependence on the diode branch voltage u is 0, for 0for 0. u eGu uu ≥ == Cited by: 4.Power quality is necessary for electrical systems to operate in their intended manner without any deterioration of performance.

This book highlights the new emerging challenges of power quality due to the penetration of large-scale renewable energy generation technologies, the advances in nonlinear loads, the increased electricity demands in the deregulated market, and the recent requirements.G.

MATHEMATICAL SYSTEMS THEORY 73 G.1 BEYOND THE SPECTRUM 73 G.2 NONLINEAR ANALYSIS, OPTIMISATION AND fIXED-POINT THEORY 74 G Alternating-projection and reflection algorithms 75 G Analysis in the absence of linearity 75 G fixed points in the absence of weak compactness 75 G Semigroups of mappings 75 G Ultraproduct methods