A parametric branch and bound approach to suboptimal explicit hybrid MPC
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Publication:463830
DOI10.1016/j.automatica.2013.10.004zbMath1298.93156OpenAlexW2091238875MaRDI QIDQ463830
Manfred Morari, Daniel Axehill, Thomas Besselmann, Davide Martino Raimondo
Publication date: 17 October 2014
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-105420
Mixed integer programming (90C11) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
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Cites Work
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- A parametric branch and bound approach to suboptimal explicit hybrid MPC
- Predictive control of hybrid systems: input-to-state stability results for sub-optimal solutions
- Quadratic programming with one negative eigenvalue is NP-hard
- Constrained optimal control of linear and hybrid systems
- DC programming: overview.
- Model predictive control. With a foreword by M. J. Grimble and M. A. Johnson
- Using branch-and-bound algorithms to obtain suboptimal solutions
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Hybrid Systems: Computation and Control
- A Multiresolution Approximation Method for Fast Explicit Model Predictive Control
- Optimal Control of Piecewise Affine Systems: A Dynamic Programming Approach
- An algorithm for the solution of multiparametric mixed integer linear programming problems
- Equivalence of hybrid dynamical models
- The explicit linear quadratic regulator for constrained systems