(Ebook) Optimal Control 3rd Edition by Frank Lewis, Vassilis Syrmos, Draguna Vrabie ISBN 978-1118122716 1118122716

(Ebook) Optimal Control 3rd Edition by Frank Lewis, Vassilis Syrmos, Draguna Vrabie ISBN 978-1118122716 1118122716

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ISBN 10:  1118122716

ISBN 13:  978-1118122716

Author:  Frank L. Lewis,  Vassilis L. Syrmos,  Draguna Vrabie

A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY

As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include:

Static Optimization
Optimal Control of Discrete-Time Systems
Optimal Control of Continuous-Time Systems
The Tracking Problem and Other LQR Extensions
Final-Time-Free and Constrained Input Control
Dynamic Programming
Optimal Control for Polynomial Systems
Output Feedback and Structured Control
Robustness and Multivariable Frequency-Domain Techniques
Differential Games
Reinforcement Learning and Optimal Adaptive Control

Table of contents: 

1. Static Optimization
1.1 Optimization without Constraints
1.2 Optimization with Equality Constraints
1.3 Numerical Solution Methods

2. Optimal Control of Discrete‑Time Systems
2.1 Solution of the General Discrete‑Time Optimization Problem
2.2 Discrete‑Time Linear Quadratic Regulator
2.3 Digital Control of Continuous‑Time Systems
2.4 Steady‑State Closed‑Loop Control and Suboptimal Feedback
2.5 Frequency‑Domain Results

3. Optimal Control of Continuous‑Time Systems
3.1 The Calculus of Variations
3.2 Solution of the General Continuous‑Time Optimization Problem
3.3 Continuous‑Time Linear Quadratic Regulator
3.4 Steady‑State Closed‑Loop Control and Suboptimal Feedback
3.5 Frequency‑Domain Results

4. The Tracking Problem and Other LQR Extensions
4.1 The Tracking Problem
4.2 Regulator with Function of Final State Fixed
4.3 Second‑Order Variations in the Performance Index
4.4 The Discrete‑Time Tracking Problem
4.5 Discrete Regulator with Function of Final State Fixed
4.6 Discrete Second‑Order Variations in the Performance Index

5. Final‑Time‑Free and Constrained Input Control
5.1 Final‑Time‑Free Problems
5.2 Constrained Input Problems

6. Dynamic Programming
6.1 Bellman’s Principle of Optimality
6.2 Discrete‑Time Systems
6.3 Continuous‑Time Systems

7. Optimal Control for Polynomial Systems
7.1 Discrete Linear Quadratic Regulator
7.2 Digital Control of Continuous‑Time Systems

8. Output Feedback and Structured Control
8.1 Linear Quadratic Regulator with Output Feedback
8.2 Tracking a Reference Input
8.3 Tracking by Regulator Redesign
8.4 Command‑Generator Tracker
8.5 Explicit Model‑Following Design
8.6 Output Feedback in Game Theory and Decentralized Control

9. Robustness and Multivariable Frequency‑Domain Techniques
9.1 Introduction
9.2 Multivariable Frequency‑Domain Analysis
9.3 Robust Output‑Feedback Design
9.4 Observers and the Kalman Filter
9.5 LQG/Loop‑Transfer Recovery
9.6 H∞ Design
Problems

10. Differential Games
10.1 Optimal Control Derived Using Pontryagin’s Minimum Principle and the Bellman Equation
10.2 Two‑player Zero‑sum Games
10.3 Application of Zero‑sum Games to H∞ Control
10.4 Multiplayer Non‑zero‑sum Games

11. Reinforcement Learning and Optimal Adaptive Control
11.1 Reinforcement Learning
11.2 Markov Decision Processes
11.3 Policy Evaluation and Policy Improvement
11.4 Temporal Difference Learning and Optimal Adaptive Control
11.5 Optimal Adaptive Control for Discrete‑Time Systems
11.6 Integral Reinforcement Learning for Optimal Adaptive Control of Continuous‑Time Systems
11.7 Synchronous Optimal Adaptive Control for Continuous‑Time Systems

APPENDIX A: Review of Matrix Algebra
A.1 Basic Definitions and Facts
A.2 Partitioned Matrices
A.3 Quadratic Forms and Definiteness
A.4 Matrix Calculus
A.5 The Generalized Eigenvalue Problem

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Tags: Frank Lewis, Vassilis Syrmos, Draguna Vrabie, Optimal Control