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5 Balanced Realization

  • He-Sheng Wang
  • Chee-Fai Yung
  • Fan-Ren Chang
Chapter
  • 457 Downloads
Part of the Lecture Notes in Control and Information Science book series (LNCIS, volume 326)

Abstract

In this chapter, we introduce balancing for stable nonlinear descriptor systems. The approach used here is an extension of balancing for conventional systems. The classical ideas is extended naturally to the descriptor systems. That is, we will consider the past input and output energy of the descriptor systems. More precisely, the controllability function is defined as the past input energy and the observability function as the future output energy. Under certain sufficient conditions, these functions may be transformed into a form that gives us a measure of importance of a state component. A nonlinear descriptor system with its controllability and observability functions in this form is called a balanced representation.

Keywords

Descriptor System Balance Representation Balance Realization Controllability Function Transfer Function Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  • He-Sheng Wang
    • 1
  • Chee-Fai Yung
    • 2
  • Fan-Ren Chang
    • 3
  1. 1.Department of Communications and Guidance Engineering National Taiwan Ocean University Keelung, Taiwan RoC, 20224 
  2. 2.Department of Electrical Engineering National Taiwan Ocean University Keelung, Taiwan RoC, 202 
  3. 3.Department of Electrical Engineering National Taiwan University Taipei, Taiwan RoC, 106 

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