Linear Systems Theory

1. Front Matter

   Pages i-xv

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2. Introduction and Preview

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 1-8

3. Mathematical Background

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 9-29

4. Review of Linear Systems Theory

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 31-68

5. Decompositions of Unforced and/or Unsensed Systems

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 69-105

6. Decompositions of Proper Systems

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 107-187

7. Decompositions of Descriptor Systems

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 189-225

8. Structural Mappings of Bilinear Transformations

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 227-256

9. System Factorizations

   • Ben M. Chen, Zongli Lin, Yacov Shamash

   Pages 257-285

10. Structural Assignment via Sensor/Actuator Selection

    • Ben M. Chen, Zongli Lin, Yacov Shamash

    Pages 287-311

11. Time-Scale and Eigenstructure Assignment via State Feedback

    • Ben M. Chen, Zongli Lin, Yacov Shamash

    Pages 313-339

12. Disturbance Decoupling with Static Output Feedback

    • Ben M. Chen, Zongli Lin, Yacov Shamash

    Pages 341-366

13. A Software Toolkit

    • Ben M. Chen, Zongli Lin, Yacov Shamash

    Pages 367-394

14. Back Matter

    Pages 395-415

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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.

• MATLAB
• Normal
• Transformation
• actor
• algorithm
• algorithms
• automation
• computer-aided design (CAD)
• mechanical engineering
• optimal control
• sensor
• stability
• system
• systems theory

• 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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