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An algorithm for multi-parametric quadratic programming and explicit MPC solutions

Tondel, Petter and Johansen, Tor Arne and Bemporad, Alberto An algorithm for multi-parametric quadratic programming and explicit MPC solutions. In: Decision and Control Conference. IEEE, Orlando, Florida USA, December 2001, pp. 1199-1204. ISBN 0-7803-7061-9 (2001)

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Explicit solutions to constrained linear model-predictive control (MPC) problems can be obtained by solving multi-parametric quadratic programs (mp-QP) where the parameters are the components of the state vector. We study the properties of the polyhedral partition of the state space induced by the multi-parametric piecewise linear solution and propose a new mp-QP solver. Compared to existing algorithms, our approach adopts a different exploration strategy for subdividing the parameter space, avoiding unnecessary partitioning and QP problem solving, with a significant improvement in efficiency

Item Type: Book Section
Identification Number: 10.1109/.2001.981048
Uncontrolled Keywords: constrained linear model-predictive control problems; efficiency; explicit solutions; exploration strategy; multi-parametric piecewise linear solution; multi-parametric quadratic programming algorithm; parameter space subdivision; partitioning; polyhedral state-space partition; problem solving; state vector components; piecewise linear techniques; predictive control; problem solving; quadratic programming; state-space methods
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 09:11
Last Modified: 17 Jul 2014 12:48
URI: http://eprints.imtlucca.it/id/eprint/581

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