Stability proof for nonlinear MPC design using monotonically increasing weighting profiles without terminal constraints

@article{Alamir2018StabilityPF,
  title={Stability proof for nonlinear MPC design using monotonically increasing weighting profiles without terminal constraints},
  author={M. Alamir},
  journal={Autom.},
  year={2018},
  volume={87},
  pages={455-459}
}
  • M. Alamir
  • Published 2018
  • Mathematics, Computer Science
  • Autom.
Abstract In this note, a new formulation of Model Predictive Control (MPC) framework with no stability-related terminal constraint is proposed and its stability is proved under mild standard assumptions. The novelty in the formulation lies in the use of time-varying monotonically increasing stage cost penalty. The main result is that the 0 -reachability prediction horizon can always be made stabilizing without any terminal constraints provided that the increasing rate of the penalty is made… Expand
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