Linear Systems Theory
Subtitle: A Structural Decomposition Approach
By: by Ben M. Chen, Zongli Lin, Yacov Shamash
Contributors: Lin, Zongli; Shamash, Yacov
Series: Control Engineering; Control Engineering
Publisher: Birkhäuser Boston
Published: 2004
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] :
Number of pages: 416
ISBN-13: 9781461273943; 9781461220466
Subjects: Mathematics; Engineering; Engineering design; Engineering mathematics; Systems theory
Description: 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 facilitate the solution of control problems related to stabilization, disturbance decoupling, robust and optimal control. Applications can be extended to industrial process control, aircraft and ship control, process automation control, and many other types of engineering systems. The authors employ a unique structural decomposition approach to break down an overall system into various subsystems, each with distinct features. The simplicity of these subsystems and their interconnections lead to deep insight about the design of feedback control systems for desired closed-loop performance, stability, and robustness. All results and case studies are presented in both continuous- and discrete-time settings. Exercises, as well as MATLAB-based computational and design algorithms utilizing the Linear Systems Toolkit, are included to reinforce and demonstrate the concepts treated throughout the book. Topics covered include: * Basic Concepts of Linear Systems Theory * Decomposition of Unforced and/or Unsensed Systems, Proper Systems and their Properties * Decomposition of Descriptor Systems and their Properties * Cascade and Inner-Outer Factorizations * Structural Assignment through Sensor/Actuator Selections * State Feedback Control with Time-Scale and Eigenstructure Assignment * Disturbance Decoupling with Static Output Feedback Linear Systems Theory may be used as a textbook for advanced 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.
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Table of contents: title: Introduction and Preview; title: Mathematical Background; title: Review of Linear Systems Theory; title: Decompositions of Unforced and/or Unsensed Systems; title: Decompositions of Proper Systems; title: Decompositions of Descriptor Systems; title: Structural Mappings of Bilinear Transformations; title: System Factorizations; title: Structural Assignment via Sensor/Actuator Selection; title: Time-Scale and Eigenstructure Assignment via State Feedback; title: Disturbance Decoupling with Static Output Feedback; title: A Software Toolbox; title: Bibliography; title: Index.