Numerical Methods for Linear Control Systems

✍ Scribed by Biswa Datta

• Publisher: Academic Press
• Year: 2003
• Tongue: English
• Leaves: 711
• Category: Library

✦ Synopsis

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. MATLAB-based software is included for implementing all of the major algorithms from the book. * Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions Background material in linear algebra, numerical linear algebra, and control theory included in text Step-by-step explanations of the algorithms and examples* Includes MATLAB-based solution software

✦ Table of Contents

Preface......Page 2
Acknowledgments......Page 7
About the Author......Page 9
List of Algorithms......Page 10
Notations and Symbols......Page 13
Table of Contents......Page 15
1 Introduction and Overview......Page 17
2 A Review of Some Basic Concepts and Results from Theoretical Linear Algebra......Page 35
3 Some Fundamental Tools and Concepts from Numerical Linear Algebra......Page 49
4 Canonical Forms Obtained Via Orthogonal Transformations......Page 95
5 Linear State-Space Models and Solutions of the State Equations......Page 123
6 Controllability, Observability, and Distance to U ncontrollability......Page 175
7 Stability, Inertia, and Robust Stability......Page 217
8 Numerical Solutions and Conditioning of Lyapunov and Sylvester Equations......Page 261
9 Realization and Subspace Identification......Page 323
10 Feedback Stabilization, Eigenvalue Assignment, and Optimal Control......Page 359
11 Numerical Methods and Conditioning of the Eigenvalue Assignment Problems......Page 421
12 State Estimation: Observer and the Kalman Filter......Page 485
13 Numerical Solutions and Conditioning of Algebraic Riccati Equations......Page 535
14 Internal Balancing and Model Reduction......Page 617
15 Large-Scale Matrix Computations in Control: Krylov Subspace Methods......Page 665
Appendix A Some Existing Software for Control Systems Design and Analysis......Page 685
Appendix B Matcontrol and Listing of Matcontrol Files......Page 689
Appendix C Case Study: Control of A 9-State Ammonia Reactor......Page 695
Index......Page 705