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Birkhäuser

Linear Systems Theory

A Structural Decomposition Approach

  • Textbook
  • © 2004

Overview

  • 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

Part of the book series: Control Engineering (CONTRENGIN)

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Table of contents (12 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Dept. of Elec. & Comp. Engineering, National University of Singapore, Singapore

    Ben M. Chen

  • Dept. of Elec. & Comp. Engineering, University of Virginia, Charlottesville, USA

    Zongli Lin

  • College of Eng. and Appl. Sciences, State University of New York at Stony Brook, Stony Brook, USA

    Yacov Shamash

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