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Sporadic Event-Based Control using Path Constraints and Moments

  • Toivo Henningsson
Publiceringsår: 2011
Språk: Engelska
Publikation/Tidskrift/Serie: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference
Dokumenttyp: Konferensbidrag


Control is traditionally applied using periodic sensing and actuation. In some applications, it is beneficial to use instead event based control, to communicate or make a change only when necessary. There are no known general closed form solutions to such event based control problems. We consider stationary event-based control problems with mixed continuous/discrete time dynamics and stochastic disturbances. The system is modelled by a set of path constraints, which are converted into constraints on trajectories’ moments up to some order N; upper and lower bounds on the control objective for any system that meets the constraints are derived using sum-of-squares techniques and convex semidefinite programming. Joint optimization of upper bound and controller parameters is non-convex in general; approaches to such controller optimization are investigated, including local optimization using bilinear matrix inequalities. Examples show that the bounds are significantly tighter than earlier results obtained using quadratic value functions.


  • Control Engineering


50th IEEE Conference on Decision and Control and European Control Conference, 2011
  • LCCC-lup-obsolete

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