Construction of invariant polytopic sets with specified complexity, International Journal of Control, vol.47, issue.8, pp.1681-1693, 2014. ,
DOI : 10.1016/j.automatica.2010.10.022
A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra, Discrete & Computational Geometry, vol.8, issue.3, pp.295-313, 1992. ,
DOI : 10.1007/BF02293050
The explicit linear quadratic regulator for constrained systems, Automatica, vol.38, issue.1, pp.3-20, 2002. ,
DOI : 10.1016/S0005-1098(01)00174-1
On the construction of invariant sets for piecewise affine systems using the transition graph, 2009 IEEE International Conference on Control and Automation, pp.122-127, 2009. ,
DOI : 10.1109/ICCA.2009.5410557
URL : https://hal.archives-ouvertes.fr/hal-00418327
Model Predictive Control ??? Numerical Methods for the Invariant Sets Approximation, Numerical Analysis and Its Applications, pp.192-199, 2009. ,
DOI : 10.1109/TAC.2005.843854
URL : https://hal.archives-ouvertes.fr/hal-00431013
Positively invariant polyhedral sets of discrete-time linear systems, International Journal of Control, vol.82, issue.6, pp.1713-1726, 1988. ,
DOI : 10.1080/00207178808906132
Set invariance in control, Automatica, vol.35, issue.11, pp.1747-1767, 1999. ,
DOI : 10.1016/S0005-1098(99)00113-2
Set-theoretic methods in control, 2008. ,
DOI : 10.1007/978-3-319-17933-9
Linear matrix inequalities in system and control theory [10] P. Dorato. Non-fragile controller design: an overview, Proceedings of the American Control Conference, pp.2829-2831, 1987. ,
Fourier-motzkin elimination and its dual, Journal of Combinatorial Theory, Series A, vol.14, issue.3, pp.288-297, 1973. ,
Linear systems with state and control constraints: the theory and application of maximal output admissible sets, IEEE Transactions on Automatic Control, vol.36, issue.9, pp.1008-1020, 1991. ,
DOI : 10.1109/9.83532
Equivalence of hybrid dynamical models, Automatica, vol.37, issue.7, pp.1085-1091, 2001. ,
DOI : 10.1016/S0005-1098(01)00059-0
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.135.2090
Discrete Time Constrained Linear Systems, Control and Dynamic Systems, vol.71, pp.157-213, 1995. ,
DOI : 10.1016/S0090-5267(06)80018-6
Multi- Parametric Toolbox 3.0, Proc. of the European Control Conference, pp.502-510, 2013. ,
Approximate explicit constrained linear model predictive control via orthogonal search tree. Automatic Control, IEEE Transactions on, vol.48, issue.5, pp.810-815, 2003. ,
DOI : 10.1109/tac.2003.811259
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.4414
Robust, fragile, or optimal? Transactions on Automatic Control, pp.1098-1105, 1997. ,
Robust constrained model predictive control using linear matrix inequalities, Automatica, vol.32, issue.10, pp.1361-1379, 1996. ,
DOI : 10.1016/0005-1098(96)00063-5
URL : http://authors.library.caltech.edu/28091/1/CDS95-011.pdf
Clipping-based complexity reduction in explicit mpc Automatic Control, IEEE Transactions on, vol.57, issue.7, pp.1878-1883, 2012. ,
DOI : 10.1109/tac.2011.2179428
Implicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints, Automatica, vol.49, issue.9, pp.2754-2759, 2013. ,
DOI : 10.1016/j.automatica.2013.05.007
URL : https://hal.archives-ouvertes.fr/hal-00917676
Explicit fragility margins for PWA control laws of discrete-time linear systems, 2014 European Control Conference (ECC), 2014. ,
DOI : 10.1109/ECC.2014.6862538
URL : https://hal.archives-ouvertes.fr/hal-01087256
A parameterized polyhedra approach for explicit constrained predictive control, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), pp.1580-1585, 2004. ,
DOI : 10.1109/CDC.2004.1430269
Explicit robustness margins for discrete-time linear systems with PWA control, 2013 17th International Conference on System Theory, Control and Computing (ICSTCC), 2013. ,
DOI : 10.1109/ICSTCC.2013.6688989
URL : https://hal.archives-ouvertes.fr/hal-00917917
Theory of linear and integer programming, 1998. ,
Characterisation Of Receding Horizon Control For Constrained Linear Systems, Asian Journal of Control, vol.6, issue.6, pp.271-286, 2003. ,
DOI : 10.1111/j.1934-6093.2003.tb00118.x
Robust explicit MPC design under finite precision arithmetic, Proceedings of the 19th World Congress The International Federation of Automatic Control, 2014. ,
DOI : 10.3182/20140824-6-ZA-1003.01033
Robust Positively Invariant Sets for Linear Systems subject to model-uncertainty and disturbances, Nonlinear Model Predictive Control, pp.213-217, 2012. ,
DOI : 10.3182/20120823-5-NL-3013.00032
An algorithm for multi-parametric quadratic programming and explicit MPC solutions, Automatica, vol.39, issue.3, pp.489-497, 2003. ,
DOI : 10.1016/S0005-1098(02)00250-9
Feedback control of linear discrete-time systems under state and control constraints, International Journal of Control, vol.13, issue.6, pp.1727-1735, 1988. ,
DOI : 10.1109/TAC.1985.1103785