Implicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints

  • Authors:
  • Hoai-Nam Nguyen;Per-Olof Gutman;Sorin Olaru;Morten Hovd

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2013

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Abstract

The problem of regulating an uncertain and/or time-varying linear discrete-time system with state and control constraints to the origin is addressed. It is shown that feasibility and a robustly asymptotically stable closed loop can be achieved using an interpolation technique. The design method can be seen as an alternative to optimization-based control schemes such as Robust Model Predictive Control. Especially for problems requiring complex calculations to find the optimal solution, the present method can provide a straightforward suboptimal solution. A simulation demonstrates the performance of this class of constrained controllers.