
Linear Systems Theory
A Structural Decomposition Approach
Springer-Verlag New York Inc.
Published on 16. September 2011
Book
Paperback/Softback
XVI, 416 pages
978-1-4612-7394-3 (ISBN)
Description
Structural properties play an important role in our understanding of linear systems in the state space representation. The structural canonical form representation of linear systems not only reveals the structural properties but also facilitates the design of feedback laws that meet various control objectives. In particular, it decomposes the system into various subsystems. These subsystems, along with the interconnections that exist among them, clearly show the structural properties of the system. The simplicity of the subsystems and their explicit interconnections with each other lead us to a deeper insight into how feedback control would take effect on the system, and thus to the explicit construction of feedback laws that meet our design specifications. The discovery of structural canonical forms and their applications in feedback design for various performance specifications has been an active area of research for a long time. The effectiveness of the structural decomposition approach has also been extensively explored in nonlinear systems and control theory in the recent past. The aim of this book is to systematically present various canonical represen tations of the linear system, that explicitly reveal different structural properties of the system, and to report on some recent developments on its utilization in sys tem analysis and design.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2004
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
XVI, 416 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 24 mm
Weight
657 gr
ISBN-13
978-1-4612-7394-3 (9781461273943)
DOI
10.1007/978-1-4612-2046-6
Schweitzer Classification
Other editions
Additional editions

E-Book
12/2012
Birkhäuser
€53.49
Available for download

Book
08/2004
Birkhauser Boston Inc
€85.59
Shipment within 15-20 days
Persons
Xiaolian Zheng is a PhD candidate finishing her PhD program in the Department of Electrical and Computer Engineering, National University of Singapore. Her research interest is in financial market modeling.
Professor Ben M. Chen received his B.S. degree in mathematics and computer science from Xiamen University, Xiamen, China, in 1983, M.S. degree in electrical engineering from Gonzaga University, Spokane, Washington, USA, in 1988, and Ph.D. degree in electrical and computer engineering from Washington State University, Pullman, Washington, USA, in 1991. He was a software engineer in South-China Computer Corporation, Guangzhou, China, from 1983 to 1986, and was an assistant professor from 1992 to 1993 in the Department of Electrical Engineering, State University of New York at Stony Brook, USA. Since August 1993, he has been with the Department of Electrical and Computer Engineering, National University of Singapore, where he is currently a professor. His current research interests are in robust control, systems theory, unmanned aerial systems, and financial market modeling.
He is the author/co-author of 8 research monographs including Loop Transfer Recovery: Analysis and Design (Springer, 1993); H2 Optimal Control (Prentice Hall, 1995); Robust and H¿ Control (Springer, 2000, Chinese edition is to be published by Science Press, Beijing, 2010); Linear Systems Theory: A Structural Decomposition Approach (Birkhauser, 2004; Chinese translation published by Tsinghua University Press, 2008); Hard Disk Drive Servo Systems (Springer, 1st Edn., 2002; 2nd Edn., 2006); and Unmanned Rotorcraft Systems (Springer, 2010). He served/serves on the editorial boards for a number of international journals including IEEE Transactions on Automatic Control, Automatica, Systems and Control Letters, and Journal of Control Theory and Applications.
Dr Chen is a Fellow of IEEE. He was the recipient of Best Poster Paper Award, 2nd Asian Control Conference, Seoul, Korea(1997); University Researcher Award, National University of Singapore (2000); Prestigious Engineering Achievement Award, Institution of Engineers, Singapore (2001); Temasek Young Investigator Award, Defence Science & Technology Agency, Singapore (2003); Best Industrial Control Application Prize, 5th Asian Control Conference, Melbourne, Australia (2004); and Best Application Paper Award, 7th Asian Control Conference, Hong Kong (2009).
Content
1 Introduction and Preview.- 1.1 Motivation.- 1.2 Preview of Each Chapter.- 1.3 Notation.- 2 Mathematical Background.- 2.1 Introduction.- 2.2 Vector Spaces and Subspaces.- 2.3 Matrix Algebra and Properties.- 2.4 Norms.- 3 Review of Linear Systems Theory.- 3.1 Introduction.- 3.2 Dynamical Responses.- 3.3 System Stability.- 3.4 Controllability and Observability.- 3.5 System Invertibilities.- 3.6 Normal Rank, Finite Zeros and Infinite Zeros.- 3.7 Geometric Subspaces.- 3.8 Properties of State Feedback and Output Injection.- 3.9 Exercises.- 4 Decompositions of Unforced and/or Unsensed Systems.- 4.1 Introduction.- 4.2 Autonomous Systems.- 4.3 Unforced Systems.- 4.4 Unsensed Systems.- 4.5 Exercises.- 5 Decompositions of Proper Systems.- 5.1 Introduction.- 5.2 SISO Systems.- 5.3 Strictly Proper Systems.- 5.4 Nonstrictly Proper Systems.- 5.5 Proofs of Properties of Structural Decomposition.- 5.6 Kronecker and Smith Forms of the System Matrix.- 5.7 Discrete-time Systems.- 5.8 Exercises.- 6 Decompositions of Descriptor Systems.- 6.1 Introduction.- 6.2 SISO Descriptor Systems.- 6.3 MEMO Descriptor Systems.- 6.4 Proofs of Theorem 6.3.1 and Its Properties.- 6.5 Discrete-time Descriptor Systems.- 6.6 Exercises.- 7 Structural Mappings of Bilinear Transformations.- 7.1 Introduction.- 7.2 Mapping of Continuous- to Discrete-time Systems.- 7.3 Mapping of Discrete- to Continuous-time Systems.- 7.4 Proof of Theorem 7.2.1.- 7.5 Exercises.- 8 System Factorizations.- 8.1 Introduction.- 8.2 Strictly Proper Systems.- 8.3 Nonstrictly Proper Systems.- 8.4 Discrete-time Systems.- 8.5 Exercises.- 9 Structural Assignment via Sensor/Actuator Selection.- 9.1 Introduction.- 9.2 Simultaneous Finite and Infinite Zero Placement.- 9.3 Complete Structural Assignment.- 9.4 Exercises.- 10 Time-Scale and Eigenstructure Assignment via State Feedback.- 10.1 Introduction.- 10.2 Continuous-time Systems.- 10.3 Discrete-time Systems.- 10.4 Exercises.- 11 Disturbance Decoupling with Static Output Feedback.- 11.1 Introduction.- 11.2 Left Invertible Systems.- 11.3 General Multivariable Systems.- 11.4 Exercises.- 12 A Software Toolkit.- 12.1 Introduction.- 12.2 Descriptions of m-Functions.