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Open Access Publications from the University of California

Input-output triggered control using Lp -stability over finite horizons

  • Author(s): Tolic, D
  • Sanfelice, RG
  • Fierro, R
  • et al.

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Copyright © 2014 John Wiley & Sons, Ltd. This paper investigates stability of nonlinear control systems under intermittent information. Following recent results in the literature, we replace the traditional periodic paradigm, where the up-to-date information is transmitted and control laws are executed in a periodic fashion, with the event-triggered paradigm. Building on the small gain theorem, we develop input-output triggered control algorithms yielding stable closed-loop systems. In other words, based on the currently available (but outdated) measurements of the outputs and external inputs of a plant, a mechanism triggering when to obtain new measurements and update the control inputs is provided. Depending on the noise in the environment, the developed algorithm yields stable, asymptotically stable, and Lp-stable (with bias) closed-loop systems. Control loops are modeled as interconnections of hybrid systems for which novel results on Lp-stability are presented. The prediction of a triggering event is achieved by employing Lp-gains over a finite horizon. By resorting to convex programming, a method to compute Lp-gains over a finite horizon is devised. Finally, our approach is successfully applied to a trajectory tracking problem for unicycles.

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