Stabilization and robustness analysis for a chain of exponential integrators using strict Lyapunov functions

• Michael Malisoff ^[2] ; Miroslav Krstic ^[1]
  1. [1] University of California, San Diego

     University of California, San Diego

     Estados Unidos

     
  2. [2] Louisiana State University,USA
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 68, 2016, págs. 184-193
• Idioma: inglés
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• Resumen

  • We provide a new method for building strict Lyapunov functions for two dimensional chains of exponential integrators, using nested exponential functions. One challenge is that the right sides of the systems saturate, so they are not completely controllable. The strictness of the Lyapunov functions is key to proving input-to-state stability (or ISS) properties with respect to additive uncertainty on the controls. We show how a large class of tracking problems for nonlinear systems with positivity constraints on the states can be solved using our theory.