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

- 207 Want to read
- 36 Currently reading

Published
**1968** by McGraw-Hill in New York .

Written in English

- Control theory.,
- Systems engineering.

**Edition Notes**

Includes bibliographies.

Statement | [by] Arthur Gelb [and] Wallace E. Vander Velde. |

Series | McGraw-Hill electronic sciences series |

Contributions | Vander Velde, Wallace E., joint author. |

Classifications | |
---|---|

LC Classifications | QA402.3 .G43 |

The Physical Object | |

Pagination | 655 p. |

Number of Pages | 655 |

ID Numbers | |

Open Library | OL5607048M |

LC Control Number | 68014337 |

1. Georgia Institute of Technology. Daniel Guggenheim. School of Aerospace Engineering. Dr. W. M. Haddad. Office: Knight AE Aerospace Nonlinear Control. The quasi-linear functions that describe approximately the transfer characteristics of the nonlinearity are termed describing functions (DF).[34,35] The concept is to see when, for example, a sinusoidal signal is applied to the nonlinear function, what would be the fundamental component of the output signal. The ratio of the (output/input.

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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 Multiple-input describing functions and nonlinear system design book 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: In this paper, the theory of using describing function method to identify structural nonlinearity is introduced.

A case study using describing function method to identify a MDOF nonlinear system with two nonlinear elements at different locations is given to demonstrate the application of this by: 1.

Applied Nonlinear Analysis EVALUATION OF QUASI-LINEAR TECHNIQUES FOR NONLINEAR PROCESSES WITH RANDOM INPUTS M. Balakrishna Rockwool Industries, Inc. Belton, Texas David A. Hüllender Mechanical Engineering The University of Texas at Arlington Arlington, Texas I.

INTRODUCTION Several approaches are mentioned in literature [] for modeling of nonlinear Author: M. Balakrishna, David A. Hullender. 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. MATLAB-BASED TOOLS FOR NONLINEAR SYSTEMS M. Ondera stands for the frequency transfer function of the linear part and Fe(a) for the describing function of the nonlinearity.

Equation (1) can be solved either analytically, or graphically. scheduled control of a nonlinear system is to design multiple linear controllers (instead of designing a.

Arthur Gelb and Wallace E. Vander Velde, Multiple-Input Describing Functions and Nonlinear System Design, McGraw-Hill Book Company, Google Scholar; R. Jacob Baker, Harry W. Li and David E. Boyce, CMOS Circuit Design, Layout and Simulation, John.

A method is presented that can be used to evaluate the sinusoidal-input describing function for a class of single- and double-valued nonlinearities. The basic approach is simple and straightforward and may be applied to the determination of multiple-input describing functions.

The method is applied to nonlinear devices which naturally produce a discontinuous output waveform on the application Cited by: 1. Nonlinear Systems and Control Lecture # 9 Lyapunov Stability – p.

1/ Quadratic Forms Failure of a Lyapunov function candidate to satisfy the conditions for stability or asymptotic stability does not mean that the equilibrium point is not stable or asymptotically stable. It File Size: 45KB. Books. AIAA Education Series; Library of Flight; An efficient method to compute the total gust+LCO response is developed using random input describing functions (RIDF), in a manner analogous to harmonic input describing functions for LCO calculation.

Multiple-Input Describing Functions and Nonlinear System Design, McGraw–Hill, New. uction to Applied Nonlinear Dynamical Systems and chaos., Springer Verlag New York 5. Nijmeijer & A.J. Van Der ear Dynamic control Systems., Springer Verlag Berlin 6.

Arther E Gelb and Vender le input Describing function and Nonlinear System Design., MC Graw Hill describing functions and linearized the nonlinear stiffness of a beam structure. Kuran and Ozguven [10] proposed an approach for quasi-linearization of MDOF systems by introducing describing functions for the cubic stiffness nonlinearity.

Tanrikulu et al. [11] improved the method proposed by Kuran and Ozguven [10] by including a wider. Analysis of oscillations in nonlinear systems using multiple input describing functions: Author: Swern, Frederic Lee: An analytical method is derived that is particularly easy to apply in the design of power law oscillators.

It is shown that multiple input describing functions may be used in some cases for which the describing function. Definition. The higher-order sinusoidal input describing functions (HOSIDF) were first introduced by dr.

P.W.J.M. HOSIDFs are an extension of the sinusoidal input describing function which describe the response (gain and phase) of a system at harmonics of the base frequency of a sinusoidal input HOSIDFs bear an intuitive resemblance to the classical frequency response.

[3] A. Gelb, W.E. Vander Velde, Multiple-Input Describing Functions and Nonlinear Systems Design, McGraw-Hill Book Company, New-York, [4] M. Cleju, Considerations on the Stability of Nonlinear Systems. Part. I: Incremental Input Describing Function, 6th International Conference on Electromechanical and Power Systems, ChiIinJu, a.Problem 1 – Behavior of a non-linear system Study the behavior of the system dx dt = y (1a) dy dt = −2x−2y −4x2 (1b) with regard to its initial value and assess if the sys-tem is globally asymptotically stable.

We have chosen a solution strategy based on the Figure The homework report title Size: 1MB.An expression for the output frequency response function (OFRF), which defines the explicit analytical relationship between the output spectrum and the system parameters, is derived for nonlinear s Cited by: