Level Set Methods for Computing Reachable Sets of Hybrid Systems with Differential Algebraic Equation Dynamics

  • Ian M. Mitchell
  • Yoshihiko Susuki
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4981)

Abstract

In previous work we demonstrated that reachability algorithms using level set methods and based on the Hamilton-Jacobi PDE can be adapted to systems whose dynamics are described by differential algebraic equations. Here we extend those results to hybrid systems. The only significant addition required is a mechanism for handling the state reset that occurs during discrete jumps between modes. We demonstrate the technique on a nonlinear power system voltage safety problem.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Ian M. Mitchell
    • 1
  • Yoshihiko Susuki
    • 2
  1. 1.Department of Computer ScienceUniversity of British ColumbiaVancouverCanada
  2. 2.Department of Electrical EngineeringKyoto UniversityKyotoJapan

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