This text is the first comprehensive treatment of structural decompositions of various types of linear systems, including autonomous, unforced or unsensed, strictly proper, non-strictly proper, and descriptor or singular systems. Structural properties play an important role in the understanding of linear systems, and also provide insight to the solution of many control problems related to stabilization, disturbance decoupling, robust and optimal control with applications to industrial process control, aircraft and ship control, process automation control, and many other types of engineering systems.

Exercises, examples, cases studies, and MATLAB-based computational and design algorithms make the work suitable as a textbook for undergraduate and graduate students in aeronautics and astronautics, applied mathematics, chemical, electrical and mechanical engineering. It may also serve as a valuable self-study reference for researchers and engineering practitioners in areas related to systems and control theory.

First comprehensive book to take a structural decomposition approach to linear systems theory Includes MATLAB-based computational and design algorithms utilizing the "Linear Systems and Control Toolbox" Features new results, examples, and case studies Applications to industry: process control, aircraft and ship control, automotive control

Autorentext

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).

Inhalt
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.