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Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions de B. M. Mohan

Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions

Autor B. M. Mohan, S. K. Kar
en Limba Engleză Paperback – 22 noi 2017
Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional.
This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria.
Illustrated throughout with detailed examples, the book covers topics including:
  • Block-pulse functions and shifted Legendre polynomials
  • State estimation of linear time-invariant systems
  • Linear optimal control systems incorporating observers
  • Optimal control of systems described by integro-differential equations
  • Linear-quadratic-Gaussian control
  • Optimal control of singular systems
  • Optimal control of time-delay systems with and without reverse time terms
  • Optimal control of second-order nonlinear systems
  • Hierarchical control of linear time-invariant and time-varying systems
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Specificații

ISBN-13: 9781138073586
ISBN-10: 113807358X
Pagini: 247
Ilustrații: 28 Tables, black and white; 66 Illustrations, black and white
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Locul publicării:Boca Raton, United States

Cuprins

Introduction. Orthogonal Functions and Their Properties. State Estimation. Linear Optimal Control Systems Incorporating Observers. Optimal Control of Systems Described by Integro-Differential Equations. Linear-Quadratic-Gaussian Control. Optimal Control of Singular Systems. Optimal Control of Time-Delay Systems. Optimal Control of Nonlinear Systems. Hierarchical Control of Linear Systems.

Recenzii

"… provides a good introduction of using orthogonal function approaches for state estimation and optimal control problems. … the first book I’ve seem that puts it all together in one text. … The authors provide several detailed examples that clearly explain how the shown theory can be applied. This makes it much easier to understand the basic algorithms."
—John L. Crassidis, University at Buffalo, State University of New York
"The approach and selection of topics are very appropriate, because the book has considered all the important components of optimal control problems using orthogonal functions. … Overall, the book is quite good and comprehensive."
—Anish Deb, University of Caluctta, India
"A majority of the presentation relies on existing results; the authors main contribution is contained in Chapters 7–10. This book may be useful to postgraduate and doctoral students interested in system and control theory as well as inspiring to control engineers."
—Zentralblatt Math,Vol. 1272

Descriere

This book presents the developments in problems of state estimation and optimal control of continuous-time dynamical systems using orthogonal functions since 1975. It deals with both full and reduced-order state estimation and problems of linear time-invariant systems. It also addresses optimal control problems of varieties of continuous-time systems such as linear and nonlinear systems, time-invariant and time-varying systems, as well as delay-free and time-delay systems. Content focuses on development of recursive algorithms for studying state estimation and optimal control problems.