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Robust Variable Horizon MPC with Move Blocking

Shekhar R.C. and Maciejowski J.M.

Systems and Control Letters, Volume 61, Number 4, Pages 587-594, April 2012

Abstract

This paper introduces a new formulation of variable horizon model predictive control (VH-MPC) that utilises move blocking for reducing computational complexity. Various results pertaining to move blocking are derived, following which, a generalised blocked VH-MPC controller is formulated for linear discrete-time systems. Robustness to bounded disturbances is ensured through the use of tightened constraints. The resulting time-varying control scheme is shown to guarantee robust recursive feasibility and finite-time completion. An example is then presented for a particular choice of blocking regime, as would be applicable to vehicle manœuvring problems. Simulations demonstrate the efficacy of the formulation.

BibTex Entry

@Article{,
author = {Shekhar R.C. and Maciejowski J.M.},
journal = {Systems and Control Letters},
title = {Robust Variable Horizon MPC with Move Blocking},
year = {2012},
month = {April},
number = {4},
pages = {587-594},
volume = {61}
}