Boolean-controlled systems via receding horizon and linear programing

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14 Citations (Scopus)

Abstract

We consider dynamic systems controlled by boolean signals or decisions. We show that in a number of cases, the receding horizon formulation of the control problem can be solved via linear programing by relaxing the binary constraints on the control. The idea behind our approach is conceptually easy: a feasible control can be forced by imposing that the boolean signal is set to one at least one time over the horizon. We translate this idea into constraints on the controls and analyze the polyhedron of all feasible controls. We specialize the approach to the stabilizability of switched and impulsively controlled systems.
Original languageEnglish
Number of pages22
JournalMATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
Volume21
Publication statusPublished - 2009

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Control and Optimization
  • Applied Mathematics

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