A. Bemporad, F. Borrelli, and M. Morari, Minmax control of constrained uncertain discrete-time linear systems, IEEE Transactions on Automatic Control, vol.48, issue.9, pp.1600-1606, 2003.

A. Bemporad, M. Morari, V. Dua, P. , and E. N. , The explicit linear quadratic regulator for constrained systems, Automatica, vol.38, issue.1, pp.3-20, 2002.

F. Borrelli, A. Bemporad, and M. Morari, Predictive control for linear and hybrid systems, 2017.

J. Daafouz and J. Bernussou, Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties, Systems & Control Letters, vol.43, issue.5, pp.355-359, 2001.
DOI : 10.1016/s0167-6911(01)00118-9

J. C. Geromel and P. Colaneri, Robust stability of time varying polytopic systems, Systems & Control Letters, vol.55, issue.1, pp.81-85, 2006.

P. O. Gutman and M. Cwikel, Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states, IEEE Transactions on Automatic Control, vol.31, issue.4, pp.373-376, 1986.
DOI : 10.1109/cdc.1984.272428

T. Hu and Z. Lin, Control Systems with Actuator Saturation: Analysis and Design, 2001.

T. Hu, Z. Lin, C. , and B. M. , Analysis and design for discrete-time linear systems subject to actuator saturation, Systems & Control Letters, vol.45, issue.2, pp.97-112, 2002.

J. L. Jerez, G. A. Constantinides, and E. C. Kerrigan, FPGA implementation of an interior point solver for linear model predictive control, 2010 International Conference on Field-Programmable Technology, pp.316-319, 2010.
DOI : 10.1109/fpt.2010.5681439
URL : http://cas.ee.ic.ac.uk/people/gac1/pubs/JuanFPT10.pdf

M. V. Kothare, V. Balakrishnan, and M. Morari, Robust constrained model predictive control using linear matrix inequalities, Automatica, vol.32, issue.10, pp.1361-1379, 1996.
DOI : 10.1109/acc.1994.751775
URL : https://authors.library.caltech.edu/28091/1/CDS95-011.pdf

W. Langson, I. Chryssochoos, S. V. Rakovi´crakovi´c, and D. Q. Mayne, Robust model predictive control using tubes, Automatica, vol.40, issue.1, pp.125-133, 2004.

J. Löfberg, YALMIP: A toolbox for modeling and optimization in MATLAB, Proceedings of the CACSD Conference, 2004.

J. M. Maciejowski, Predictive control: with constraints, 2002.

D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. Scokaert, Constrained model predictive control: Stability and optimality, Automatica, vol.36, issue.6, pp.789-814, 2000.
DOI : 10.1016/s0005-1098(99)00214-9

D. Mayne, Model predictive control: Recent developments and future promise, Automatica, vol.50, issue.12, pp.2967-2986, 2014.
DOI : 10.1016/j.automatica.2014.10.128

M. Aps, The MOSEK optimization toolbox for MATLAB manual, 2017.

H. N. Nguyen, S. Olaru, P. O. Gutman, and M. Hovd, Constrained interpolation-based control for polytopic uncertain systems, IEEE Conference on Decision and Control and European Control Conference, vol.978, pp.4961-4966, 2011.
DOI : 10.1109/cdc.2011.6161524
URL : https://hal.archives-ouvertes.fr/hal-00657876

H. N. Nguyen, Constrained Control of Uncertain, Time-Varying, Discrete-Time Systems, Lecture Notes in Control and Information Sciences, vol.451, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01257659

H. N. Nguyen and P. O. Gutman, Model predictive control for constrained uncertain, time-varying systems. IFAC-PapersOnLine, 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems (MICNON), vol.48, p.2015, 2015.
DOI : 10.1016/j.ifacol.2015.09.310

H. N. Nguyen and P. O. Gutman, Fast constrained LQR based on MPC with linear decomposition, IEEE Transactions on Automatic Control, vol.61, issue.9, pp.2585-2590, 2016.
DOI : 10.1109/tac.2015.2495231

H. N. Nguyen, P. O. Gutman, S. Olaru, and M. Hovd, 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 : 10.1002/rnc.3466
URL : https://hal.archives-ouvertes.fr/hal-00917676

B. Pluymers, J. A. Rossiter, J. A. Suykens, and B. D. Moor, Interpolation based MPC for LPV systems using polyhedral invariant sets, Proceedings of the 2005, vol.2, pp.810-815, 2005.
DOI : 10.1109/acc.2005.1470059

J. A. Rossiter, Model-Based Predictive Control: A Practical Approach, 2004.
DOI : 10.1201/9781315272610

J. Rossiter and Y. Ding, Interpolation methods in model predictive control: an overview, International Journal of Control, vol.83, issue.2, pp.297-312, 2010.
DOI : 10.1080/00207170903148106

D. Rubin, H. N. Nguyen, and P. O. Gutman, Computation of polyhedral positive invariant sets via linear matrix inequalities, European Control Conference, 2018.
DOI : 10.23919/ecc.2018.8550548

Y. Wang and S. Boyd, Fast model predictive control using online optimization, IEEE Transactions on Control Systems Technology, vol.18, issue.2, pp.267-278, 2010.
DOI : 10.1109/tcst.2009.2017934
URL : http://www.stanford.edu/~boyd/papers/pdf/fast_mpc.pdf