Reduction of Nonlinear Control Systems A Differential Geometric Approach (Mathematics and Its Applications) by V.I. Elkin

Cover of: Reduction of Nonlinear Control Systems | V.I. Elkin

Published by Springer .

Written in English

Read online

Subjects:

  • Automatic control engineering,
  • Mathematics for scientists & engineers,
  • Non-linear science,
  • Control Theory,
  • Differential Geometry,
  • Mathematics,
  • Technology & Industrial Arts,
  • Science/Mathematics,
  • General,
  • Robotics,
  • Mathematics / Applied,
  • Advanced,
  • Geometry - Differential,
  • Geometry, Differential,
  • Nonlinear control theory

Book details

The Physical Object
FormatHardcover
Number of Pages260
ID Numbers
Open LibraryOL11152231M
ISBN 100792356233
ISBN 109780792356233

Download Reduction of Nonlinear Control Systems

The solution of problems for multidimensional nonlinear control systems en­ counters serious difficulties, which are both mathematical and technical in nature. Therefore it is imperative to develop methods of reduction of nonlinear systems to a simpler form, for example, decomposition into systems of lesser dimension.

This is simply the best book written on nonlinear control theory. The contents form the basis for feedback linearization techniques, nonlinear observers, sliding mode control, understanding relative degree, nonminimum phase systems, exact linearization, and a host of other topics.

A careful reading of this book will provide vast rewards. Buy Reduction of Nonlinear Control Systems: A Differential Geometric Approach (Mathematics And Its Applications (Closed)) on FREE SHIPPING on qualified ordersCited by: We introduce a data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction.

Get this from a library. Reduction of nonlinear control systems: a differential geometric approach. [V I Elkin] -- "This monograph is devoted to methods of reduction of nonlinear control systems to a simpler form, for example, decomposition into systems of lesser dimension. The approach centres on the immersion.

The solution of problems for multidimensional nonlinear control systems en counters serious difficulties, which are both mathematical and technical in nature. Therefore it is imperative to develop methods of reduction of nonlinear systems to a simpler form, for example, decomposition into systems of lesser dimension.

The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach.

The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was /5(6). Introduction to Linear Control Systems is designed as a standard introduction to linear control systems for all those who one way or another deal with control systems.

It can be used as a comprehensive up-to-date textbook for a one-semester 3-credit undergraduate course on linear control systems as the first course on this topic at university. Get this from a library. Reduction of Nonlinear Control Systems: a Differential Geometric Approach.

[V I Elkin] -- This monograph is devoted to methods of reduction of nonlinear control systems to a simpler form: for example, decomposition into systems of lesser dimension. The approach centres on the immersion of.

Shahab Ilbeigi and David Chelidze, A new approach to model reduction of nonlinear control systems using smooth orthogonal decomposition, International Journal of Robust and Nonlinear Control, 28, 15, (), ().Cited by: This methodology is applicable to parametrically excited (periodic coefficients) and constant coefficient nonlinear systems.

Our approach is empowered by intuitive augmentation of system states and is further liberated from typical special strategies such as the need for a ‘book-keeping’ parameter, a detuning parameter and minimal excitation.

We have outlined a new method of model reduction for nonlinear control systems. The advantages of this new approach are that it is not a local method and it is not an analytic method. UNESCO – EOLSS SAMPLE CHAPTERS CONTROL SYSTEMS, ROBOTICS, AND AUTOMATION - Vol.

XII - Analysis Of Nonlinear Control Systems - Hassan K. Khalil ©Encyclopedia of Life Support Systems (EOLSS) ff L(t,x t,y x y)−≤−() (2) for all (t,x) and (t,y)in some neighborhood Reduction of Nonlinear Control Systems book (tx00,). When f (x) and x are scalars, the Lipschitz condition can be.

Reduction of Nonlinear Control Systems book second of three volumes from the inaugural NODYCON, held at the University of Rome, in February ofpresents papers devoted to Nonlinear Dynamics and Control.

The collection features both well-established streams of research as. SIAM Journal on Control and OptimizationAbstract | PDF ( KB) () On subspace balanced realization and model order reduction for nonlinear interconnected by: “A New Method for Model Reduction of Nonlinear Control Systems Using Smooth Orthogonal Decomposition”, Scientific Reports,prepared for submitting.

Ilbeigi S. and Chelidze D.: “Insight into Chaotic Dynamics of Complex Dynamical Systems. title = "Dynamics and nonlinear control of integrated process systems", abstract = "Presenting a systematic model reduction and hierarchical controller design framework for broad classes of integrated process systems encountered in practice, this book first studies process systems with large material recycle and/or with small purge streams Cited by: S.

Lall, J.E. Marsden, and S. Glavaski. A subspace approach to balanced truncation for model reduction of nonlinear control systems. International Journal of Robust and Nonlinear Control, –, MathSciNet CrossRef Google ScholarAuthor: C. Brennan, M.

Condon, R. Ivanov. Breiten, T. Damm, Krylov subspace methods for model reduction of bilinear systems, Systems and Control Letters, ().

[3] P. Benner, T. Breiten: Interpolation-Based Model Reduction of Bilinear Control Systems, SIAM Journal on Cited by: 1. CONTROL SYSTEMS, ROBOTICS AND AUTOMATION - Vol.

XII - Control of Nonlinear Systems - Hassan K. Khalil ©Encyclopedia of Life Support Systems (EOLSS) certain specifications on the transient response or certain constraints on the control input. These requirements could be conflicting and the designer has to trade them off.

Free 2-day shipping. Buy Mathematics and Its Applications: Reduction of Nonlinear Control Systems: A Differential Geometric Approach (Hardcover) at Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or l theory is an interdisciplinary branch of engineering and mathematics that is concerned with the behavior of dynamical systems with inputs, and how to modify the output by changes in the input using feedback, feedforward, or signal filtering.

in computer science, control theory, nonlinear dynamics or fluid mechanics. The prospective reader is not expected to have hands-on expertise in any of these fields but should come with the ambition to control a complex system.

The book is or-ganized as follows. In Chapter 1, the reader is introduced to feedback control andFile Size: KB. Redkar, S & Sinha, SCOrder reduction of nonlinear systems with periodic-quasiperiodic coefficients.

in Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC 20th Biennial Conf.

on Mech. Vibration and Noise. Proceedings of the ASME International Design Engineering Author: Sangram Redkar, S. Sinha.

In this paper we introduce a new method of model reduction for nonlinear systems with inputs and outputs. The method requires only standard matrix computations, and when applied to linear systems results in the usual balanced truncation.

For nonlinear systems, the method makes used of the Karhunen-Lo`eve decomposition of the state-space, and is an extension of the method Cited by: This thesis is devoted to nonlinear control, reduction, and classification of underactuated mechanical systems.

Reduction and nonlinear control of high-order underactuated systems with kinetic symmetry is the main focus of this thesis. This monograph focuses on the problem of model reduction by moment matching for nonlinear systems.

The central idea of the method is the preservation, for a prescribed class of inputs and under some technical assumptions, of the steady-state Cited by: 6. analysis of control systems. Linear control theory treats systems for which an underlying linear model is assumed, and is a relatively mature subject, complete with firm theoret-ical foundations and a wide range of powerful and applicable design methodologies; see e.g., Anderson & Moore (), Kailath ().

In contrast, nonlinear control File Size: KB. Find many great new & used options and get the best deals for Cambridge Series in Chemical Engineering: Dynamics and Nonlinear Control of Integrated Process Systems by Michael Baldea and Prodromos Daoutidis (, Hardcover) at the best online prices at eBay.

Free shipping for many products. 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, Mathematically oriented, Can be downloaded at. Other subjects explored are concerned with the dynamical systems approach to problems in nonlinear systems and control, monitoring and fault detection in power systems, robot path planning and control, the real time control of processes, pole placement design, large scale systems and model reduction, and aircraft control.

Introduction to Nonlinear Control Theory. The course covers analysis and design of nonlinear control systems using Lyapunov theory and geometric methods. Includes properties of solutions of nonlinear systems, Lyapunov stability analysis.

nonlinear control systems have been developed, ranging from digital "fly-by-wire" flight control systems for aircraft, to "drive-by-wire" automobiles, to advanced robotic and space systems.

As a result, the subject of nonlinear control is occupying an increasingly important place in automatic control engineering, and has become a. Section 4 presents a few methods deemed promising for model reduction of nonlinear systems, focusing on methods involving the Koopman operator, and extensions of DMD to nonlinear systems.

MODAL DECOMPOSITIONS. In this review, we focus on model reduction methods that involve decomposing a flow field into a set of by: A nonlinear energy sink (NES) approach is proposed for whole-spacecraft vibration reduction. Frequency sweeping tests are conducted on a scaled whole-spacecraft structure without or Cited by: The subject of logically switched dynamical systems is a large one which overlaps with may areas including hybrid system theory, adaptive control, optimalcontrol,cooperativecontrol,etc.

Tenyearsagowepresentedalecture, documented in [1], which addressed several of the areas of logically switched dynamical systems which were being studied at the File Size: KB. An Introduction to Nonlinearity in Control Systems 10 Preface Preface e book is intended to provide an introduction to the e ects of nonlinear elements in feedback control systems.

A central topic is the use of the Describing Function (DF) method since in File Size: 5MB. Dear Colleagues, I am very pleased to introduce the Special Issue on “Nonlinear Control: Theory and Applications” to be published in the open access journal Applied Sciences.

Nonlinear control problems such as robust stabilization and adaptive tracking naturally arise when coping with controlled systems which are inherently nonlinear and potentially suffer from various unknown. This work addresses the problem of mitigating the effects of the cogging torque in permanent magnet synchronous motors, particularly brushless motors, which is a main issue in precision electric drive applications.

In this work, a method for mitigating the effects of the cogging torque is proposed, based on the use of a nonlinear automatic control technique known as feedback Cited by: 1.

Machine Learning Control – Taming Nonlinear Dynamics and Turbulence / This is the first book on a generally applicable control strategy for turbulence and other complex nonlinear systems.

The approach of the book employs powerful methods of. Presenting a systematic model reduction and hierarchical controller design framework for broad classes of integrated process systems encountered in practice, this book first studies process systems with large material recycle and/or with small purge streams, followed by systems with energy by: 4.

Lyapunov Stability A function V: D!R is said to be • positive de nite if V(0) = 0 and (x) >0; 8 6= 0 • positive semide nite if V(0) = 0 and (x) 0; 8 6= 0 • negative de nite (resp. negative semi de nite) if V(x) is de nite positive (resp.

de nite semi positive). In particular, for V(x) = xTPx(quadratic form), where Pis a real symmetric matrix, V(x) is positive (semi)de nite if and.sensors, whether for engineered or natural systems. The second half of the book presents material that is often considered to be from the field of “classical control.” This includes the transf er function, introduced in Chapter 8, which is a fundamental tool .

52154 views Monday, November 9, 2020