Tondel, Petter and Johansen, Tor Arne and Bemporad, Alberto An algorithm for multi-parametric quadratic programming and explicit MPC solutions. Automatica, 39 (3). pp. 489-497. ISSN 005-1098 (2003)Full text not available from this repository.
Explicit solutions to constrained linear model predictive control 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 affine 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 of efficiency.
|Uncontrolled Keywords:||Linear quadratic regulators; Piecewise linear controllers; Constraints; Predictive control|
|Subjects:||Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
|Research Area:||Computer Science and Applications|
|Depositing User:||Professor Alberto Bemporad|
|Date Deposited:||27 Jul 2011 09:05|
|Last Modified:||05 Aug 2011 14:09|
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