A. Miljkovic, N. Hanke, Z. Liu and O. Stursberg: Reference Tracking and State Observation for Switching Affine Systems Using Piecewise Quadratic Lyapunov Functions. In: Proc. of IFAC Symposium on Nonlinear Control Systems, 2025, to appear

Abstract

This paper addresses the task of reference tracking for a class of switching affine systems. In contrast to existing work which uses common Lyapunov functions to ensure asymptotic tracking, the method proposed here is based on multiple Lyapunov functions to guarantee convergence. The underlying principle is further modified to obtain less conservative convergence conditions for state observers applied to the same class of switching systems. The advantage of multiple over common Lyapunov functions in reference tracking is also illustrated by a numeric example.

BibTex

@article{miljkovic2025,
  abstract = {This paper addresses the task of reference tracking for a class of switching affine systems. In contrast to existing work which uses common Lyapunov functions to ensure asymptotic tracking, the method proposed here is based on multiple Lyapunov functions to guarantee convergence. The underlying principle is further modified to obtain less conservative convergence conditions for state observers applied to the same class of switching systems. The advantage of multiple over common Lyapunov functions in reference tracking is also illustrated by a numeric example.},
  author = {Miljkovic, Aleksandar  and Hanke, Nils and Liu, Zonglin and Stursberg, Olaf},
  journal = {Proc. of IFAC Symposium on Nonlinear Control Systems},
  pages = {TBD},
  title = {Reference Tracking and State Observation for Switching Affine Systems Using Piecewise Quadratic Lyapunov Functions},
  year = 2025
}

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