Last edited by Durisar
Wednesday, July 22, 2020 | History

2 edition of Multiple-input describing functions and nonlinear system design found in the catalog.

Multiple-input describing functions and nonlinear system design

Gelb, Arthur

Multiple-input describing functions and nonlinear system design

by Gelb, Arthur

  • 9 Want to read
  • 26 Currently reading

Published by McGraw-Hill in New York .
Written in English

    Subjects:
  • Control theory.,
  • Systems engineering.

  • Edition Notes

    Includes bibliographies.

    Statement[by] Arthur Gelb [and] Wallace E. Vander Velde.
    SeriesMcGraw-Hill electronic sciences series
    ContributionsVander Velde, Wallace E., joint author.
    Classifications
    LC ClassificationsQA402.3 .G43
    The Physical Object
    Pagination655 p.
    Number of Pages655
    ID Numbers
    Open LibraryOL5607048M
    LC Control Number68014337

      In this paper describing functions inversion is used and the restoring force of a nonlinear element in a MDOF system is characterized. The describing functions can be obtained using linearized frequency response functions (FRFs). The response of the system to harmonic excitation forces at distinct frequencies close to the resonant frequency results in linearized by: 5. Two graphical methods used for studying the stability of nonlinear systems-the circle criterion and the descibing function-are compared and shown to be complementary in that each tends to compensate for the deficiencies of the other. A means of increasing the reliabilty of the describing-function method is given. The describing-function method is then extended to a fairly wide class of Cited by:

    The definition of describing function as in (1), (2) and (3) provides a direct method for its calculation. Analytically calculated describing functions for some nonlinear functions common in control systems are listed in Table I. Take the ideal saturation characteristic function as shown in Table I No. 1 as an example: f(x)= −Ka if x≤−aFile Size: 1MB. The describing function is one of the few widely applicable methods for designing nonlinear systems, and is very widely used as a standard mathematical tool for analyzing limit cycles in closed-loop controllers, such as industrial process controls, servomechanisms, and electronic oscillators.

    Computer-aided Nonlinear Control System Design provides such an approach based on the use of describing functions. The text deals with a large class of nonlinear systems without restrictions on the system order, the number of inputs and/or outputs or the . Primarily, this involves illustrating a fundamental difference between SIDF and random-input describing function (RIDF) models of nonlinear systems, developing the nonlinear controller design.


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Multiple-input describing functions and nonlinear system design by Gelb, Arthur Download PDF EPUB FB2

The practicing control engineer should find the book valuable as a complete reference work in the subject area. If his background in mathematics is not sufficient to enable him to follow the theoretical development of ~ h a ~ t e rc.o1mfort- ably, he can omit that chapter and will still find a complete presentation in every chapter except Chapters Seven and Eight, based on the physically.

It also covers describing functions for sampled data systems too. I do not know of any other book which covers this variant of the describing function. The book has extensive tables of describing functions which is very important so that you do not have to derive them from scratch.

In my opinion, this is a classic book and is the best book on the topic of describing functions that anyone 5/5(1). Multiple-Input Describing Functions and Nonlinear System Design.

This free online textbook was published inhowever, it is one of three required textbooks for the Estimation and Control of Aerospace Systems course at MIT. It is an undergraduate level course on control systems in their Aeronautics and Astronautics program.

Multiple-Input Describing Functions and Nonlinear System Design This banner text can have markup. texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection Multiple Input Describing Functions And Nonlinear System Design.

Multiple Input Describing Functions and Nonlinear System Design by Arthur Gelb,available at Book Depository with free delivery worldwide.4/5(1). to answer questions such as these in a way which is useful to the system designer, the multiple-input describing function remains unexcelled.

This book is intended to provide a comprehensive documentation of describing function theory and application. It begins with a Cited by: Computer-aided Nonlinear Control System Design provides such an approach based on the use of describing functions.

The text deals with a large class of nonlinear systems without restrictions on the system order, the number of inputs and/or outputs or the Brand: Springer-Verlag London.

A nonlinear system is defined as one which does not satisfy the superposition property. The simplest form of nonlinear system is the static nonlinearity where the output depends only on the current value of input but in a nonlinear manner, UNESCO – EOLSS SAMPLE CHAPTERS.

CONTROL SYSTEMS, ROBOTICS, AND AUTOMATION – Vol. Multiple-Input Describing Functions and Nonlinear System Design. New York: McGraw Hill Hill [The first textbook to give extensive coverage to describing function methods and their use in feedback control.] Gibson, J.

Nonlinear Automatic Control. New. techniques available in linear system theory, the tools for analysis and design of nonlinear systems are limited to some very special categories. First, there are the relatively simple techniques, such as phase-plane analysis, which are graphical in nature and thus of limited generality.

Higher order sinusoidal input describing functions: extending linear techniques towards non-linear systems analysis Citation for published version (APA): Nuij, P. Higher order sinusoidal input describing functions: extending linear techniques towards non-linear systems by: 2.

There are other considerations for the use of describing function technique in analysis and design of nonlinear systems: (1) the method is applicable to nonlinear plants which have discontinuous or multivalued nonlinearities (e.g.

saturation, hysteresis, and backlash), (2) the input/output behavior of a nonlinear plant is depen- dent on the Cited by: Computer-aided Nonlinear Control System Design works with a large class of nonlinear systems without restrictions on system order, number of inputs/outputs, or number, type, or arrangement of nonlinear terms.

The detailed methods within the book facilitate fulfillment of tight performance requirements and help designers think in purely non-linear terms; users can avoid substantial and.

Buy Multiple Input Describing Functions and Nonlinear System Design (McGraw-Hill electronic sciences series) by Arthur Gelb, Wallace Velde (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(1).

It also covers describing functions for sampled data systems too. I do not know of any other book which covers this variant of the describing function.

The book has extensive tables of describing functions which is very important so that you do not have to derive them from scratch. In my opinion, this is a classic book and is the best book on the topic of describing functions that anyone can 5/5(1).

Additional Physical Format: Online version: Gelb, Arthur, Multiple-input describing functions and nonlinear system design. New York, McGraw-Hill []. Multiple-Input Describing Functions and Nonlinear System Design. McGraw Hill, ) is provided below.

Chapter 1. Table of Contents, Nonlinear Systems and Describing Functions (PDF - MB) (Courtesy of Authur Gelb and Wallace Vander Velde. Used with permission.) Chapter 2. of the nonlinear system in the vicinity of that point.

Secondly, the dynamics of a nonlinear system are much richer than the dynamics of a linear system. There are essentially nonlinear phenomena that can take place only in the presence of nonlinearity; hence they File Size: 3MB.

The book is concerned with the effects of nonlinearity in feedback control systems and techniques which can be used to design feedback loops containing nonlinear elements.

After a short introductory chapter on nonlinearity and its possible effects the use of phase plane methods for nonlinear second order systems is discussed/5(21). Multiple-Input Describing Functions and Nonlinear System Design a nonlinear controller design method for nonlinear systems with random inputs is presented that keeps the transient and r.m.s Author: Jong Shik Kim.

Nonlinear systems Khalil - Prentice-Hall, Probably the best book to start with nonlinear control Nonlinear systems S. Sastry - Springer Verlag, Good general book, a bit harder than Khalil’s Mathematical Control Theory - E.D.

Sontag - Springer. The non-linear response characteristics exhibited by all aircraft and their flight control systems can be characterised by using nonlinear functions to simulate and analyse their behaviour. This paper explores the types of physical non-linearities that exist in aircraft flight control systems Cited by: Analysis of linear systems with relay feedback is a classical field.

The early work on relay feedback was motivated by using relays as amplifiers. Nonlinear Control Engineering-Describing Function Analysis and Design, Van Nostrand Reinhold Co., London, UK ().

Multiple-Input Describing Functions and Nonlinear System Design, McGraw Cited by: