Limited-information control of hybrid systems via reachable set propagation

  • Authors:
  • Daniel Liberzon

  • Affiliations:
  • University of Illinois, Urbana, IL, USA

  • Venue:
  • Proceedings of the 16th international conference on Hybrid systems: computation and control
  • Year:
  • 2013

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Abstract

This paper deals with control of hybrid systems based on limited information about their state. Specifically, measurements being passed from the system to the controller are sampled and quantized, resulting in finite data-rate communication. The main ingredient of our solution to this control problem is a novel method for propagating over-approximations of reachable sets for hybrid systems through sampling intervals, during which the discrete mode is unknown. In addition, slow-switching conditions of the (average) dwell-time type and multiple Lyapunov functions play a central role in the analysis.