Numerical Calculation of Nonsmooth Control Lyapunov Functions Via Piecewise Affine Approximation

Robert Baier1, Philipp Braun2, Lars Gruene1, Christopher M. Kellett2

  • 1University of Bayreuth
  • 2University of Newcastle

Details

17:00 - 17:20 | Wed 4 Sep | Room FH 4 | WeE4.4

Session: Set-Valued and Nonsmooth Analysis in Systems and Control: Generalized Lyapunov Methods and Beyond II

Abstract

We review the numerical computation of control Lyapunov functions for switched systems in the Filippov sense and in the sample-and-hold sense. The computed (control) Lyapunov functions are piecewise affine and the decrease conditions involve either generalized gradients or the Dini subderivate. Further conditions for stabilization or stabilizability yield a (mixed-integer) linear program.