A decomposition algorithm for feedback min-max model predictive control

Muñoz de la Peña, David and Bemporad, Alberto and Alamo, Teodoro A decomposition algorithm for feedback min-max model predictive control. In: Decision and Control and European Control Conference. IEEE, 12th-15th Dec. 2005 , pp. 5126-5131. ISBN 0-7803-9567-0 (2005)

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Abstract

An algorithm for solving feedback min-max model predictive control for discrete time uncertain linear systems with constraints is presented in the paper. The algorithm solves the corresponding multi-stage min-max linear optimization problem. It is based on applying recursively a decomposition technique to solve the min-max problem via a sequence of low complexity linear programs. It is proved that the algorithm converges to the optimal solution in finite time. Simulation results are provided to compare the proposed algorithm with other approaches.

Item Type: Book Section 10.1109/CDC.2005.1582975 Optimization algorithms; Predictive control for linear systems; Uncertain systems Q Science > QA MathematicsQ Science > QA Mathematics > QA75 Electronic computers. Computer science Computer Science and Applications Professor Alberto Bemporad 27 Jul 2011 08:47 05 Aug 2011 13:53 http://eprints.imtlucca.it/id/eprint/533