Optimal Control Systems: 1st Edition (Hardback) book cover

Optimal Control Systems

1st Edition

By D. Subbaram Naidu

CRC Press

464 pages | 111 B/W Illus.

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Hardback: 9780849308925
pub: 2002-08-27
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Description

The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control.

Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems, giving students a firm grasp on both methods. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Students will also gain valuable experience in using industry-standard MATLAB and SIMULINK software, including the Control System and Symbolic Math Toolboxes.

Diverse applications across fields from power engineering to medicine make a foundation in optimal control systems an essential part of an engineer's background. This clear, streamlined presentation is ideal for a graduate level course on control systems and as a quick reference for working engineers.

Table of Contents

INTRODUCTION

Classical and Modern Control

Optimization

Optimal Control

Historical Tour

About This Book

Chapter Overview

Problems

CALCULUS OF VARIATIONS AND OPTIMAL CONTROL

Basic Concepts

Optimum of a Function and a Functional

The Basic Variational Problem

The Second Variation

Extrema of Functions with Conditions

Extrema of Functionals with Conditions

Variational Approach to Optimal Systems

Summary of Variational Approach

Problems

LINEAR QUADRATIC OPTIMAL CONTROL SYSTEMS I

Problem Formulation

Finite-Time Linear Quadratic Regulator

Analytical Solution to the Matrix Differential Riccati Equation

Infinite-Time LQR System I

Infinite-Time LQR System II

Problems

LINEAR QUADRATIC OPTIMAL CONTROL SYSTEMS II

Linear Quadratic Tracking System: Finite-Time Case

LQT System: Infinite-Time Case

Fixed-End-Point Regulator System

Frequency-Domain Interpretation

Problems

DISCRETE-TIME OPTIMAL CONTROL SYSTEMS

Variational Calculus for Discrete-Time Systems

Discrete-Time Optimal Control Systems

Discrete-Time Linear State Regulator Systems

Steady-State Regulator System

Discrete-Time Linear Quadratic Tracking System

Frequency-Domain Interpretation

Problems

PONTRYAGIN MINIMUM PRINCIPLE

Constrained Systems

Pontryagin Minimum Principle

Dynamic Programming

The Hamilton-Jacobi-Bellman Equation

LQR System using H-J-B Equation

CONSTRAINED OPTIMAL CONTROL SYSTEMS

Constrained Optimal Control

TOC of a Double Integral System

Fuel-Optimal Control Systems

Minimum Fuel System: LTI System

Energy-Optimal Control Systems

Optimal Control Systems with State Constraints

Problems

APPENDICES

Vectors and Matrices

State Space Analysis

MATLAB Files

REFERENCES

INDEX

About the Series

Electrical Engineering Series

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
TEC007000
TECHNOLOGY & ENGINEERING / Electrical