Numerical Methods for Linear Control Systems

Textbook for courses on linear control which has diverse applications for electrical, mechanical, chemical, and aerospace engineering.

Biswa Datta (Author)

9780122035906, Elsevier Science

Hardback, published 24 February 2004

640 pages
22.9 x 15.2 x 3.5 cm, 1.1 kg

"This is a very comprehensive book presenting the state-of-the-art in numerical techniques for linear systems and control. All the key developments in the area in the last two decades are covered in a clear, concise and practical manner. The accompanying MATLAB-based software implementations of the main algorithms will make the book particularly attractive to graduate students, researchers and practicing engineers concerned about numerical issues in control techniques. The book is very appropriate for one or more graduate courses on numerical techniques for control that could follow a conventional first course on linear system theory." --Professor Rajni V. Patel, Chair of Department of Electrical and Computer Engineering, University of Western Ontario, London, Canada

"This book provides a comprehensive treatment of system theory and numerical analysis written by an expert in both fields. It covers a wide range of topics and can be used for undergraduate and graduate courses in the increasingly important area of systems and computation" --Thanos Antoulas, Rice University

"Datta has done a wonderful job in writing this difficult interdisciplinary book, blending scientific computing and numerical linear algebra with control and systems theory. In a very elegant manner Datta starts with essential components of numerical linear algebra, and moves to very useful advanced numerical algorithms and software for control systems. As an industrial mathematician involved in aerospace engineering research, I feel that the book will be an asset for researchers and practicing engineers who are using applied and computational mathematics to find solutions to complex industrial problems arising from well-established and emerging control applications" --Daniel J. Pierce - Boeing (ASK TIFFANY G. for use permissions)

Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models.

Introduction and Overview
Review of Basic Concepts and Results from Theoretical Linear Algebra
Fundamental Tools and Concepts from Numerical Linear Algebra
Canonical Forms Obtained via Orthogonal Transformations
Linear State Space Models and Solutions of the State Equations
Contollability, Observability and Distance to Uncontrollability
Stability, Inertia and Robust Stability
Numerical Solutions and Conditioning of Lyapunov and Sylvester Equations
Realization and Subspace Identification
Feedback Stabilization, Eigenvalue Assignment and Optimal Control
Numerical Methods and Conditioning of the Eigenvalue Assignment Problems
State Estimation
Numerical Solutions and Conditioning of Algebraic Riccati Equations
Internal Balancing and Model Reduction
Large-Scale Matrix Computations in Control: Krylov Subspace Methods
Numerical Methods for Matrix-Second-Order Control Systems
Existing Software for Control Systems Design and Analysis

Subject Areas: Mathematical theory of computation [UYA], Mechanical engineering [TGB]