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Singular Perturbations in Stable Feedback Control of Distributed Parameter Systems

  • Mark J. Balas
Part of the International Centre for Mechanical Sciences book series (CISM, volume 280)

Abstract

In this lecture we use a singular perturbation formulation of linear time-invariant distributed parameter systems to develop a method to design finite-dimensional feedback compensators of any fixed order which will stabilize the infinite-dimensional distributed parameter system. The synthesis conditions are given entirely in terms of a finite-dimensional reduced-order model; the stability results depend on an infinite-dimensional version of the Klimushchev-Krasovskii lemma also presented here. This lecture summarizes our work on singular perturbations for stable distributed parameter system control in [9]–[10] and[24].

Keywords

Singular Perturbation Model Reduction Distribute Parameter System Uniform Asymptotic Stability Singular Perturbation Method 
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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Copyright information

© Springer-Verlag Wien 1983

Authors and Affiliations

  • Mark J. Balas
    • 1
  1. 1.Electrical, Computer, and Systems Engineering DepartmentRensselaer Polytechnic InstituteTroyUSA

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