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3 Youla Parameterization for Descriptor Systems

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

Abstract

For control engineers, the stability of the given control systems has always been the main concern. We often encounter controller synthesis problems of the following form: Given a plant \(\vec{G}\), design a controller \(\vec{K}\) such that the closed-loop system is stable and satisfies certain given performance criteria. It is thus convenient to have a parameterization of the class of controllers which stabilize the plant and to optimize the performance criteria within this class. This approach has been quite successful in the modern control systems theory, the result being the Youla-Kucera parameterization. The objective of this chapter is to extend the results which gave the Youla parameterization for nonlinear systems, as obtained via a state-space approach, of [46] and [76] to the nonlinear descriptor systems case. By providing such a parameterization for descriptor systems, it is hoped that controller synthesis problems for descriptor systems may also become tractable. In particular, one would like to tackle the \(\mathcal{H}_\infty\) control problems in this way.

Keywords

Descriptor System Output Feedback Admissible Solution State Feedback Controller Output Feedback Controller 
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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