Self-triggered output feedback control for perturbed linear systems

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Abstract

In this work we propose a Self-Triggered Control (STC) strategy for linear time-invariant (LTI) systems subject to bounded disturbances, using LTI discrete-time dynamic output-feedback. The STC logic computes worst-case triggering times from available information, based on a Periodic Event Triggered Control (PETC) triggering function. In the case of no perturbation and full state information, the discrete times can be determined exactly, defining unions of cones in the state space. When bounded disturbances are present, we compute worst-case triggering times and their associated state-space regions. If full state information is also not available, we use a special observer to compute the worst-case triggering times, yielding an STC logic that only needs the current system output and the controller state. For all cases, we provide sufficient conditions for stability and L2-gain from disturbance to output.

Original languageEnglish
Pages (from-to)248-253
JournalIFAC-PapersOnLine
Volume51
Issue number23
DOIs
Publication statusPublished - 2018
Event7th IFAC Workshop on Distributed Estimation and Control in Networked
Systems
- Groningen, Netherlands
Duration: 27 Aug 201828 Aug 2018

Keywords

  • bounded disturbances
  • Control systems
  • digital control
  • linear systems
  • networked control systems
  • self-triggered control

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