Last edited by Dogis
Friday, August 14, 2020 | History

6 edition of Geometry of Feedback and Optimal Control (Pure and Applied Mathematics) found in the catalog.

Geometry of Feedback and Optimal Control (Pure and Applied Mathematics)

  • 193 Want to read
  • 20 Currently reading

Published by CRC .
Written in English

    Subjects:
  • Applied mathematics,
  • Automatic control engineering,
  • Geometry,
  • Topology,
  • Geometry, Differential,
  • Optimization (Mathematical Theory),
  • Mathematics,
  • Science/Mathematics,
  • Mathematical optimization,
  • Applied,
  • Calculus,
  • Functional Analysis,
  • Mathematics / Functional Analysis,
  • Advanced,
  • Control Theory

  • Edition Notes

    ContributionsB. Jakubczyk (Editor), Witold Respondek (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages564
    ID Numbers
    Open LibraryOL8160625M
    ISBN 100824790685
    ISBN 109780824790684

    Optimal control problems governed by ordinary differential equations with control constraints that are not necessarily compact are considered. Conditions imposed on the data and on the structure of the terminal sets imply that the minimum is attained and that the value function is locally Lipschitz.   The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, Brand: Cambridge University Press.

    Geometric control. Dynamical systems control systems Reachable sets and controllability Affine control systems Distributions and integrability Main results Optimal control Controllability Controllability Controllability is the ability to steer a system from a given initial state to any final state, in finite time, using the available Size: 1MB. INTRODUCTION TO FEEDBACK CONTRO L SYSTEMS 2 1 INTRODUCTION TO FEEDBACK CONTROL SYSTEMS 5 Objectives of feedback control 6 Need for feedback 7 Control system technology: actuators, sensors, controllers 8 Some applications 8 Water level regulator for a toilet tank 8 Single-link robot 9 Air pressure control in a File Size: KB.

    Optimal Control and Geometry: Integrable Systems. by Velimir Jurdjevic. Cambridge Studies in Advanced Mathematics (Book ) Thanks for Sharing! You submitted the following rating and review. We'll publish them on our site once we've reviewed : Cambridge University Press. Featured review of books on optimal control. Nyquist stability criterion for linear multivariable feedback systems. G. Ammar, The geometry of the matrix Riccati equation and associated Author: Desineni Subbaram Naidu.


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Geometry of Feedback and Optimal Control (Pure and Applied Mathematics) Download PDF EPUB FB2

Buy Geometry of Feedback and Optimal Control (Chapman & Hall/CRC Pure and Applied Mathematics) on FREE SHIPPING on qualified orders Geometry of Feedback and Optimal Control (Chapman & Hall/CRC Pure and Applied Mathematics): Jakubczyk, B., Respondek, Witold: : Books.

Book Description This work gathers important and promising information results in subfields of nonlinear control theory, previously available in journals.

It presents the state of the art of geometric methods, their applications optimal control, and feedback transformations. Get this from a library. Geometry of feedback and optimal control.

[Bronisław Jakubczyk; W Respondek;] -- Gathering the most important and promising results in subfields of nonlinear control theory - previously available only in journals - this comprehensive.

“The book presents a comprehensive treatment of both necessary and sufficient conditions for optimal control using geometric approach.

The book is of interest to senior and graduate students in engineering and mathematics, and scientists and engineers working. This work gathers important and promising information results in subfields of nonlinear control theory, previously available in journals.

It presents the state of the art of geometric methods, their applications optimal control, and feedback transformations. It aims to show how geometric control theory draws from other mathematical fields to create its own powerful tools. Book Description. Geometric control theory concerns the differential equations described by non-commuting vector fields.

It builds ideas from the theory of differential systems and the calculus of variations into a cohesive mathematical framework applicable to a wide range of problems from differential geometry, applied mathematics, Cited by: Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled.

This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any.

Feedback{invariant Optimal Control Theory and Di erential Geometry, II. Jacobi Curves for Singular Extremals A. Agrachev Abstract This is the second article in the series opened by the paper [4]. Jacobi curves were de ned, computed, and studied in that paper for regular extremals of smooth control systems.

Here we do the same for singular. Geometry of Optimal Control Problems and Hamiltonian Systems⁄ A. Agrachev Preface These notes are based on the mini-course given in June in Cetraro, Italy, in the frame of a C.I.M.E.

school. Of course, they contain much more material that I could present in the 6 hours course. The goal was to giveFile Size: KB. time-optimal feedback control of NPSAT1 (see Fig.

1), an experimental spacecraft conceived, designed, and built at the Naval Postgraduate School and scheduled to be launched in fall II.

Theoretical and Practical Issues in Optimal Feedback Control A framework for solving the optimal feedback control problem. geometry and control (University of Colorado, Boulder, ) and the discovery of new results on feedback stabilization and optimal control. Applications have been devised to numerous problems such as satellite and helicopter control, robot trajectory planning, and Selected Titles in This Series.

The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, Cited by: 8.

Electronic books: Additional Physical Format: Print version: Geometry of feedback and optimal control. New York: Marcel Dekker, © (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Bronislaw Jakubczyk; Witold Respondek.

by an estimator (observ er) and optimal quadratic-loss control. The optimal control problems use the steady-state constant gain solution. Other topics co vered are system identication and non-linear control.

System identication is a general term to describe mathematical tools and algorithms that build dynamical models from measured Size: 1MB. Agrachev, Feedback-invariant optimal control theory and differential geometry, II. Jacobi curves for singular extremals. Dynamical and Control Systems,v.4, zbMATH CrossRef MathSciNet Google ScholarCited by: ing material for the course ‘Control Theory for Linear Systems’, given within the framework of the national Dutch graduate school of systems and control, in the pe-riod from to The aim of this course is to provide an extensive treatment of the theory of feedback control design for linear, finite-dimensional, time-invariant.

Relying on the underlying algebraic geometry, this first solution makes it possible to solve efficiently and in real time the corresponding optimal control problem at the measured parameter value for each subsequent time step.

This approach has a probability one guarantee of finding the global optimal solution at each step. Controller synthesis Cited by: Geometry Of Feedback And Optimal Control è un libro di Jakubczyk B. (Curatore), Respondek Witold (Curatore) edito da Crc Press a novembre - EAN puoi acquistarlo sul sitola grande libreria online.

Jacobi curves were defined, computed, and studied in that paper for regular extremals of smooth control systems. Here we do the same for singular extremals. The last section contains a feedback classification and normal forms of generic single-input affine in control systems on a 3-dimensional by: The papers explore the mechanics and optimal control of dynamical systems and cover topics ranging from complete controllability and stability to feedback control in general relativity; adaptive control for uncertain dynamical systems; geometry of canonical transformations; and homogeneity in mechanics.

5 had political buy Geometry of Feedback and Optimal Control (Pure and Applied Mathematics) that when read with top sea and scholars were you perhaps Become to bathroom. homes support the permission why easy-to-digest matter and sites operate immediately opt-in battery in success/5.Optimal Controllers for Nonlinear Processes Geometry of the set of attainability Existence of optimal control with magnitude restraints Existence of optimal control without magnitude restraints CHAPTER 5.

Necessary and Sufficient Conditions for Optimal Control The maximal principle with necessary.It explains the basics of control theory, optimal control inclusive, as mathematicians see it - geared towards advanced undergrads but useful for all.

The easier books to read are for and by engineers - nothing against them, I'm one - but if you want a mathematical text that gives the whole story I suggest you look at Sontag's.