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.Abstract
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.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1016/S0005-1098(02)00250-9 |
| 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 |
| URI: | http://eprints.imtlucca.it/id/eprint/459 |
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