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Execution time certification for gradient-based optimization in model predictive control

Författare:
Publiceringsår: 2012
Språk: Engelska
Sidor: 3165-3170
Dokumenttyp: Konferensbidrag
Förlag: IEEE
Övrig information: Key=gis_cert_2012cdc

Sammanfattning

We consider model predictive control (MPC) problems with linear dynamics, polytopic constraints, and quadratic objective. The resulting optimization problem is solved by applying an accelerated gradient method to the dual problem. The focus of this paper is to provide bounds on the number of iterations needed in the algorithm to guarantee a prespecified accuracy of the dual function value and the primal variables as well as guaranteeing a prespecified maximal constraint violation. The provided numerical example shows that the iteration bounds are tight enough to be useful in an inverted pendulum application.

Disputation

Nyckelord

  • Technology and Engineering

Övrigt

51st IEEE Conference on Decision and Control
2012-12-10/2012-12-13
Maui, Hawaii, USA
Published
  • LCCC
Yes
  • LCCC
  • ISSN: 0191-2216

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