Optimal Control Theory

An Introduction

By: DONALD E. KIRK

Write A Review

Paperback | 28 May 2004

At a Glance

Paperback
464 Pages

Dimensions(cm)
20.9 x 13.6 x 2.5

Paperback

$69.75

or 4 interest-free payments of $17.44 with

Ships in 10 to 15 business days

Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization.

Chapters 1 and 2 focus on describing systems and evaluating their performances. Chapter 3 deals with dynamic programming. The calculus of variations and Pontryagin's minimum principle are the subjects of chapters 4 and 5, and chapter 6 examines iterative numerical techniques for finding optimal controls and trajectories. Numerous problems, intended to introduce additional topics as well as to illustrate basic concepts, appear throughout the text.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $0.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Engineering & Technology Electronics & Communications Engineering Electronics Engineering Computing & I.T.Computer Science Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Science Physics

Technology in General

Describing the System and Evaluating Its Performance
Introduction	p. 3
Problem Formulation	p. 3
State Variable Representation of Systems	p. 16
Concluding Remarks	p. 22
References	p. 23
Problems	p. 23
The Performance Measure	p. 29
Performance Measures for Optimal Control Problems	p. 29
Selecting a Performance Measure	p. 34
Selection of a Performance Measure: The Carrier Landing of a Jet Aircraft	p. 42
References	p. 47
Problems	p. 47
Dynamic Programming
Dynamic Programming	p. 53
The Optimal Control Law	p. 53
The Principle of Optimality	p. 54
Application of the Principle of Optimality to Decision-Making	p. 55
Dynamic Programming Applied to a Routing Problem	p. 56
An Optimal Control System	p. 58
Interpolation	p. 64
A Recurrence Relation of Dynamic Programming	p. 67
Computational Procedure for Solving Control Problems	p. 70
Characteristics of Dynamic Programming Solution	p. 75
Analytical Results--Discrete Linear Regulator Problems	p. 78
The Hamilton-Jacobi-Bellman Equation	p. 86
Continuous Linear Regulator Problems	p. 90
The Hamilton-Jacobi-Bellman Equation--Some Observations	p. 93
Summary	p. 94
References	p. 95
Problems	p. 96
The Calculus of Variations and Pontryagin's Minimum Principle
The Calculus of Variations	p. 107
Fundamental Concepts	p. 108
Functionals of a Single Function	p. 123
Functionals Involving Several Independent Functions	p. 143
Piecewise-Smooth Extremals	p. 154
Constrained Extrema	p. 161
Summary	p. 177
References	p. 178
Problems	p. 178
The Variational Approach to Optimal Control Problems	p. 184
Necessary Conditions for Optimal Control	p. 184
Linear Regulator Problems	p. 209
Pontryagin's Minimum Principle and State Inequality Constraints	p. 227
Minimum-Time Problems	p. 240
Minimum Control-Effort Problems	p. 259
Singular Intervals in Optimal Control Problems	p. 291
Summary and Conclusions	p. 308
References	p. 309
Problems	p. 310
Iterative Numerical Techniques for Finding Optimal Controls and Trajectories
Numerical Determination of Optimal Trajectories	p. 329
Two-Point Boundary-Value Problems	p. 330
The Method of Steepest Descent	p. 331
Variation of Extremals	p. 343
Quasilinearization	p. 357
Summary of Iterative Techniques for Solving Two-Point Boundary-Value Problems	p. 371
Gradient Projection	p. 373
References	p. 408
Problems	p. 409
Conclusion
Summation	p. 417
The Relationship Between Dynamic Programming and the Minimum Principle	p. 417
Summary	p. 423
Controller Design	p. 425
Conclusion	p. 427
References	p. 427
Appendices	p. 429
Useful Matrix Properties and Definitions	p. 429
Difference Equation Representation of Linear Sampled-Data Systems	p. 432
Special Types of Euler Equations	p. 434
Answers to Selected Problems	p. 437
Index	p. 443
Table of Contents provided by Ingram. All Rights Reserved.

Optimal Control Theory

An Introduction

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Technology in General

The Technology Book

Big Ideas Simply Explained

Engineering Drawing + Sketchbook

8th Edition

The Design of Everyday Things

Revised and Expanded Edition

Thing Explainer

Complicated Stuff in Simple Words

Ford Mustang 60 Years

60 Years

If Anyone Builds It, Everyone Dies

The Case Against Superintelligent AI

First Knowledges Innovation

Knowledge and Ingenuity

Good to Great

Why Some Companies Make the Leap... And Others Don't

Hot Type

The Magnificent Machine that Gave Birth to Mass Media and Drove Mark Twain Mad

Calibration

A Technician's Guide

Principles of Spinning: Speed Frame in Spinning

Speed Frame in Spinning

Agricultural Medicine

Occupational and Environmental Safety and Health for Agricultural and Rural Populations

Foundations of High Performance Computing

A Comprehensive Guide to Systems, Concepts, and Programming

Functional Metal and Metal Oxide Nanoparticles for Textile Applications

Nanoscience & Nanotechnology Series

Dynamics of Marine Structures

Requirements Practice in Conceptual Design

A Practical Guide, Second Edition

BioMEMS Devices

Next-Generation Nuclear Systems AI Integration, Passive Safety, and Advanced Reactor Engineering

Fundamentals and Applications of Nanofluids

Micro and Nano Technologies

Quantum Computing and Instrumentation for Smart Agriculture

Micro and Nano Technologies

Open Circuits

The Inner Beauty of Electronic Components

Engineering Mechanics: Statics, SI Units

15th Global Edition

Solar Energy Solutions for Sustainable Urban and Built Environment

Data Empire

How information shaped human history

This product is categorised by