# Linear Optimal Control, 1st edition

## Linear Optimal Control

ISBN-13: 9780201808681

### What's included

## Overview

*Linear Optimal Control: H2 and Hà Methods* is a reader-friendly book that features recent research results on robustness, Hà control, and ...m- synthesis. *Linear Optimal Control* combines these new results with previous work on optimal control to form a complete picture of control system design and analysis.

A comprehensive book, *Linear Optimal Control* covers the analysis of control systems, H2 (linear quadratic Gaussian), and Hà to a degree not found in many similar books. Its logical organization and its focus on establishing a solid grounding in the basics be fore tackling mathematical subtleties make *Linear Optimal Control* an ideal learning tool.

**Back Cover**

A comprehensive book, Linear Optimal Control covers the analysis of control systems, * H2* (linear quadratic Gaussian), and to a degree not found in many texts. Its logical organization and its focus on establishing a solid grounding in the basics before tackling mathematical subtleties make Linear Optimal Control an ideal teaching text. The book's structure also makes it suitable for two-semester, one-semester, and two-quarter courses, as well as for professional use.

**Features:**

- Provides computer projects in each chapter to challenge readers with "what if" questions concerning the choice of cost functions and specifications.
- Simplifies results and derivations by treating special cases whenever possible without compromising the clarity of the results and methods.
- Familiarizes readers with the use of CAD tools for robust optimal controller design; software use is integrated throughout the book, and is included in almost every example.
- Offers a case study that compares the LQG and the µ-synthesis design methodologies and provides guidelines on when to apply which method.
- Presents LQG and control within a common framework— uses variational methods for both solutions.

## Table of contents

**List of Symbols.**

**1. Introduction.**

**1. ANALYSIS OF CONTROL SYSTEMS.**

**2. Multivariable Linear Systems.**

**3. Vector Random Processes.**

**4. Performance.**

**5. Robustness.**

**2. H2 CONTROL.**

**6. The Linear Quadratic Regulator.**

**7. The Kalman Filter.**

**8. Linear Quadratic Gaussian Control.**

**3. CONTROL.**

**9. Full Information Control and Estimation.**

**10. Output Feedback.**

**11. Controller Order Reduction.**

**Appendix: Mathematical Notes.**

Published by Pearson (November 9th 1998) - Copyright © 1999