Interpolating Control—Nominal State Feedback Case

  • Hoai-Nam Nguyen
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 451)

Abstract

This chapter presents several constrained control algorithms for time-invariant linear discrete-time systems. The robust version will be investigated in the next chapter. The main idea is to interpolate between high-performance (unconstrained) feedback with constraint-aware low-gain feedback strategies in order to respect the constraints. The algorithms are based on linear programming or quadratic programming in the case of using polyhedral invariant sets and semi-definite programming in the case of using ellipsoidal invariant sets. Proof of recursive feasibility and asymptotic stability are provided. Several numerical examples are given to support the algorithms with illustrative simulations.

Keywords

Model Predictive Control Nonlinear Optimization Problem Vertex Control Invariant Ellipsoid Saturated Controller 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Hoai-Nam Nguyen
    • 1
  1. 1.Technion—Israel Institute of TechnologyHaifaIsrael

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