Kailath, T., 1980, Linear Systems, Prentice-Hall, New York.

Mayne, D. Q., Rawlings, J. B., Rao, C. V., and Scokaert, P. O. M., 2000, “Constrained Model Predictive Control: Stability and Optimality,” Automatica, 36(6), pp. 789–814.

10.1016/S0005-1098(99)00214-9Gilbert, E. G., and Tan, K. T., 1991, “Linear Systems With State and Control Constraints: The Theory and Application of Maximal Output Admissible Sets,” IEEE Trans. Autom. Control, 36(9), pp. 1008–1020.

10.1109/9.83532Kouvaritakis, B., Rossiter, J. A., and Chang, A. O. T., 1992, “Stable Generalised Predictive Control: An Algorithm With Guaranteed Stability,” Proc. IEE Pt-D, 139(4), pp. 349–362.

[CrossRef]Bertsekas, D. P., and Rhodes, I. B., 1973, “Sufficiently Informative Functions and the Minimax Feedback Control of Uncertain Dynamic Systems,” IEEE Trans. Autom. Control, 18(2), pp. 117–124.

10.1109/TAC.1973.1100241Scokaert, P. O. M., and Mayne, D. Q., 1998, “Min-Max Feedback Model Predictive Control for Constrained Linear Systems,” IEEE Trans. Autom. Control, 43(8), pp. 1136–1142.

10.1109/9.704989van Hessem, D. H., and Bosgra, O. H., 2002, “A Conic Reformulation of Model Predictive Control Including Bounded and Stochastic Disturbances Under State and Input Constraints,” Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, IEEE, pp. 4643–4648.

Löfberg, J., 2003, “Approximations of Closed-Loop MPC,” Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, IEEE, pp. 1438–1442.

Goulart, P. J., Kerrigan, E. C., and Maciejowski, J. M., 2006, “Optimization Over State Feedback Policies for Robust Control with Constraints,” Automatica, 42(4), pp. 523–533.

10.1016/j.automatica.2005.08.023Rakovic, S. V., Kouvaritakis, B., Cannon, M., Panos, C., and Findeisen, R., 2012, “Parameterized Tube Model Predictive Control,” IEEE Trans. Autom. Control, 57(11), pp. 2746–2761.

10.1109/TAC.2012.2191174Rakovic, S. V., Kouvaritakis, B., Cannon, M., and Panos, C., 2012, “Fully Parameterized Tube Model Predictive Control,” Int. J. Robust Nonlinear Control, 22(12), pp. 1330–1361.

10.1002/rnc.2825Munoz-Carpintero, D., Kouvaritakis, B., and Cannon, M., 2014, “Striped Parameterized Tube Model Predictive Control,” Proceedings of the 19th IFAC World Congress, Cape Town, South Africa, International Federation of Automatic Control, pp. 11998–12003.

Lee, Y. I., and Kouvaritakis, B., 1999, “Constrained Receding Horizon Predictive Control for Systems With Disturbances,” Int. J. Control, 72(11), pp. 1027–1032.

[CrossRef]Lee, Y. I., and Kouvaritakis, B., 2000, “Linear Matrix Inequalities and Polyhedral Invariant Sets in Constrained Robust Predictive Control,” Int. J. Robust Nonlinear Control, 10(13), pp. 1079–1090.

10.1002/(ISSN)1099-1239Lee, Y. I., Kouvaritakis, B., and Cannon, M., 2002, “Constrained Receding Horizon Predictive Control for Nonlinear Systems,” Automatica, 38(12), pp. 2093–2102.

10.1016/S0005-1098(02)00133-4Evans, M. A., Cannon, M., and Kouvaritakis, B., 2012, “Robust MPC for Linear Systems With Bounded Multiplicative Uncertainty,” Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, IEEE, pp. 248–253.

Fleming, J., Kouvaritakis, B., and Cannon, M., 2014, “Robust Tube MPC for Linear Systems With Multiplicative Uncertainty,” IEEE Trans. Autom. Control (in press),

10.1109/TAC.2014.2336358.

Kouvaritakis, B., Cannon, M., and Tsachouridis, V., 2004, “Recent Developments in Stochastic MPC and Sustainable Development,” Ann. Rev. Control, 28(1), pp. 23–35.

[CrossRef]Kouvaritakis, B., Cannon, M., and Couchman, P., 2006, “MPC as a Tool for Sustainable Development Integrated Policy Assessment,” IEEE Trans. Autom. Control, 51(1), pp. 145–149.

10.1109/TAC.2005.861702Evans, M. A., Cannon, M., and Kouvaritakis, B., 2014, “Robust MPC Tower Damping for Variable Speed Wind Turbines,” IEEE Trans. Control Sys. Techno., 23(1), pp. 290–296.

[CrossRef]Kouvaritakis, B., Cannon, M., Rakovic, S. V., and Cheng, Q., 2010, “Explicit Use of Probabilistic Distributions in Linear Predictive Control,” Automatica, 46(10), pp. 1719–1724.

10.1016/j.automatica.2010.06.034Cannon, M., Kouvaritakis, B., Rakovic, S. V., and Cheng, Q., 2011, “Stochastic Tubes in Model Predictive Control With Probabilistic Constraints,” IEEE Trans. Autom. Control, 56(1), pp. 194–200.

10.1109/TAC.2010.2086553Fleming, J., Cannon, M., and Kouvaritakis, B., 2014, “Stochastic Tube MPC for LPV Systems With Probabilistic Set Inclusion Conditions,” Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, IEEE, pp. 4783–4788.

Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory (Studies in Applied Mathematics, Vol. 15), SIAM, Philadelphia.

Rossiter, J. A., Rice, M. J., and Kouvaritakis, B., 1998, “A Numerically Robust State-Space Approach to Stable Predictive Control Strategies,” Automatica, 34(1), pp. 65–73.

10.1016/S0005-1098(97)00171-4Kouvaritakis, B., Rossiter, J. A., and Schuurmans, J., 2000, “Efficient Robust Predictive Control,” IEEE Trans. Autom. Control, 45(8), pp. 1545–1549.

10.1109/9.871769Cannon, M., and Kouvaritakis, B., 2005, “Optimizing Prediction Dynamics for Robust MPC,” IEEE Trans. Autom. Control, 50(11), pp. 1892–1897.

10.1109/TAC.2005.858679Lee, Y. I., and Kouvaritakis, B., 2000, “Receding Horizon H-Infinity Predictive Control for Systems With Input Saturation,” Proc. IEE Pt-D, 147(2), pp. 153–158.

Kouvaritakis, B., Cannon, M., and Rossiter, J. A., 2002, “Who Needs QP for Linear System MPC Anyway?” Automatica, 38(5), pp. 879–884.

10.1016/S0005-1098(01)00263-1Rakovic, S. V., Kerrigan, E., Kouramas, K., and Mayne, D., 2005, “Invariant Approximations of the Minimal Robustly Positively Invariant Set,” IEEE Trans. Autom. Control, 50(3), pp. 406–410.

10.1109/TAC.2005.843854Mayne, D. Q., Seron, M. M., and Rakovic, S. V., 2005, “Robust Model Predictive Control of Constrained Linear Systems With Bounded Disturbances,” Automatica, 41(2), pp. 219–224.

10.1016/j.automatica.2004.08.019Rakovic, S. V., Kouvaritakis, B., Findeisen, R., and Cannon, M., 2012, “Homothetic Tube Model Predictive Control,” Automatica, 48(8), pp. 1631–1638.

10.1016/j.automatica.2012.05.003Kothare, M. V., Balakrishnan, V., and Morari, M., 1996, “Robust Constrained Model Predictive Control Using Linear Matrix Inequalities,” Automatica, 32(10), pp. 1361–1379.

10.1016/0005-1098(96)00063-5Schuurmanns, J., and Rossiter, J. A., 2000, “Robust Piecewise Linear Control for Polytopic Systems With Input Constraints,” IEE Proc. CTA, 147(1), pp. 13–18.

[CrossRef]Casavola, A., Gianneli, M., and Mosca, E., 2000, “Min-Max Predictive Control Strategies for Input-Saturated Polytopic Systems,” Automatica, 36(1), pp. 125–133.

10.1016/S0005-1098(99)00112-0Blanchini, F., and Miani, S., 2007, Set-Theoretic Methods in Control, Springer, New York.

Gautam, A., Chu, Y.-C., and Soh, Y. C., 2012, “Optimized Dynamic Policy for Receding Horizon Control of Linear Time-Varying Systems With Bounded Disturbances,” IEEE Trans. Autom. Control, 57(4), pp. 973–988.

10.1109/TAC.2011.2170109Munoz-Carpintero, D., Cannon, M., and Kouvaritakis, B., 2013, “Recursively Feasible Robust MPC for Linear Systems With Additive and Multiplicative Uncertainty Using Optimized Polytopic Dynamics,” Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, IEEE, pp. 1101–1106.

Clarke, D. W., and Gawthrop, P. J., 1975, “Self-Tuning Controller,” Proc. Inst. Electr. Eng., 122(9), pp. 929–934.

10.1049/piee.1975.0252Schwarm, A. T., and Nikolaou, M., 1999, “Chance-Constrained Model Predictive Control,” AIChE J., 45(8), pp. 1743–1752.

10.1002/(ISSN)1547-5905Calafiore, G. C., and Fagiano, L., 2013, “Stochastic Model Predictive Control of LPV Systems Via Scenario Optimization,” Automatica, 49(6), pp. 1861–1866.

10.1016/j.automatica.2013.02.060Kouvaritakis, B., Cannon, M., and Munoz-Carpintero, D., 2013, “Efficient Prediction Strategies for Disturbance Compensation in Stochastic MPC,” Int. J. Sys. Sci., 44(7), pp. 1344–1353.

[CrossRef]Campi, M. C., and Garatti, S., 2011, “A Sampling-and-Discarding Approach to Chance-Constrained Optimization: Feasibility and Optimality,” J. Optim. Theory Appl., 148(2), pp. 257–280.

10.1007/s10957-010-9754-6Cannon, M., Kouvaritakis, B., and Wu, X., 2009, “Model Predictive Control for Systems With Stochastic Multiplicative Uncertainty and Probabilistic Constraints,” Automatica, 45(1), pp. 167–172.

10.1016/j.automatica.2008.06.017Cannon, M., Kouvaritakis, B., and Wu, X., 2009, “Probabilistic Constrained MPC for Multiplicative and Additive Stochastic Uncertainty,” IEEE Trans. Autom. Control, 54(7), pp. 1626–1632.

10.1109/TAC.2009.2017970Cannon, M., Kouvaritakis, B., and Ng, D., 2009, “Probabilistic Tubes in Linear Stochastic Model Predictive Control,” Sys. Control Lett., 58(10), pp. 747–753.

[CrossRef]Korda, M., Gondhalekar, R., Oldewurtel, F., and Jones, C. N., 2014, “Stochastic MPC Framework for Controlling the Average Constraint Violation,” IEEE Trans. Autom. Control, 59(7), pp. 1706–1721.

10.1109/TAC.2014.2310066Cheng, Q., Cannon, M., Kouvaritakis, B., and Evans, M., 2014, “Stochastic MPC for Systems with Both Multiplicative and Additive Disturbances,” 19th IFAC World Congress, Cape Town, South Africa, International Federation of Automatic Control, pp. 2291–2296.