Self-triggered sampling for second-moment stability of state-feedback controlled SDE systems

• Ross P. Anderson ^[1] ; Dejan Milutinović ^[2] ; Dimos V. Dimarogonas ^[3]
  1. [1] New York University

     New York University

     Estados Unidos

     
  2. [2] University of California, Santa Cruz

     University of California, Santa Cruz

     Estados Unidos

     
  3. [3] Royal Institute of Technology

     Royal Institute of Technology

     Suecia

     

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• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 54, 2015, págs. 8-15
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Event-triggered and self-triggered control, whereby the times for controller updates are computed from sampled data, have recently been shown to reduce the computational load or increase task periods for real-time embedded control systems. In this work, we propose a self-triggered scheme for nonlinear controlled stochastic differential equations with additive noise terms. We find that the family of trajectories generated by these processes demands a departure from the standard deterministic approach to event- and self-triggering, and, for that reason, we use the statistics of the sampled-data system to derive a self-triggering update condition that guarantees second-moment stability. We show that the length of the times between controller updates as computed from the proposed scheme is strictly positive and provide related examples.