References
- A. I. Propoi, 'Use of Linear Programming Methods for Synthesizing sampled data Automatic Systems,' Auto. Remote Contr., vol. 24, pp. 837-844, July, 1963
- S. E. Dreyfus, Dynamic Programming and the Calculus of Variations, Academic Press, New York, 1965
- W. H. Kwon and A. E. Pearson, 'A Modified Quadratic Cost Problem and Feedback Stabilization of a Linear System,' IEEE Trans. of Automatic Control, vol. 22, no. 3, pp. 838-842, 1977 https://doi.org/10.1109/TAC.1977.1101619
- W. H, Kwon and A. E. Pearson, 'On the Feedback Stabilization of Time Varying Discrete Time Systems,' IEEE Trans. of Automatic Control, vol. 23, pp. 479-481, 1978 https://doi.org/10.1109/TAC.1978.1101749
- W. H. Kwon and D. G. Byun, 'Receding Horizon Tracking Control as a Predictive Control and its Stability Properties,' International Journal of Control, vol. 50, no. 3, pp. 1807-1824, 1989 https://doi.org/10.1080/00207178908953467
- Y. I. Lee, W. H. Kwon, and S. Noh, 'Receding Horizon Predictive Control and its Related GPC with Stability Properties,' C-TAT, vol. 10, no. 3, pp. 523-537, 1994
- P. Krauss, K. Dass, and H. Rake, 'Model-based Predictive Controller with Kalman Filtering for State Estimation,' Advances in Model-Based Predictive Control, Oxford University Press, pp. 69-83, 1994
- J. H. Lee and N. L. Ricker, 'Extended Kalman Filter Based Nonlinear Model Predictive Control,' Inde. Eng. Chem. Res, vol. 33, pp. 1530-1541, 1994 https://doi.org/10.1021/ie00030a013
- J. Richalet, A. Raults, J. L. Testud and J. Papon, 'Model Predictive Heuristic Control: Application to Industrial Precesses,' Automatica, vol. 14, pp. 413-428, 1978 https://doi.org/10.1016/0005-1098(78)90001-8
- C. R. Cutler and B. L. Ramaker, 'Dynamic Matrix Control-A Computer Control Algorithm,' Proc. of Joint Automatic Control Conference, 1980
- W. H, Kwon and A. E. Pearson, 'On the Stabilization of a Discrete Constant Linear System,' IEEE Trans. of Automatic Control, vol. 20, no. 6, pp. 800-801, 1975 https://doi.org/10.1109/TAC.1975.1101098
- L. Chisci and E. Mosca, 'Stabilizing Predictive Control: the Singular Transition Matrix Case,' Advances in Model-Based Predictive Control, Oxford University Press, pp. 122-130, 1994
- C. K. Finn, B. Wahlberg, and B. E. Ydstie, 'Constrained Predictive Control Using Orthogonal Expansions,' AIChE J., vol. 39, no. 11, pp. 1810-1826, 1993 https://doi.org/10.1002/aic.690391109
- J. Rawlings and K. R. Muske, 'Stability of Constrained Receding Horizon Control,' IEEE Trans. of Automatic Control, vol. 38, pp. 1512-1516, 1993 https://doi.org/10.1109/9.241565
- A. Zheng and M. Morari, 'Stability of Model Predictive Control with Mixed Constraints,' IEEE Trans. of Automatic Control, vol. 40, pp. 1818-1823, 1995 https://doi.org/10.1109/9.467664
- W. H, Kwon, A. M. Bruckstein, and T. Kailath, 'Stabilizing State-feedback Design via the Moving Horizon Method,' International Journal of Control, vol. 37, pp. 631-643, 1983 https://doi.org/10.1080/00207178308932998
- J. W. Lee, W. H. Kwon, and J. H. Choi, 'On Stability of Constrained Receding Horizon Control with Finite Terminal Weighting Matrix,' Automatica, vol. 34, no. 12, pp. 1607-1612, 1998 https://doi.org/10.1016/S0005-1098(98)80015-0
- W. H. Kwon and K. B. Kim, 'On Stabilizing Receding Horizon Controls for Linear Continuous Time-invariant Systems,' IEEE Trans. of Automatic Control, vol. 45, no. 7, pp. 1329-1334, 2000 https://doi.org/10.1109/9.867037
- C. E. Garcia and M. Morari, 'Internal Model Control: 1. A Unifying Review and Some New Results,' Inde. Eng. Chem. Res, vol. 21, pp. 308-232, 1982
- C. E. Garcia and M. Morari, 'Internal Model Control: 2. Design Procedure for Multivariable Systems,' Inde. Eng. Chem. Res, vol. 24, pp. 472-484, 1985
- C. E. Garcia and M. Morari, 'Internal Model Control: 3. Multivariable Control Law Computation and Tuning Guidelines,' Inde. Eng. Chem. Res, vol. 24, pp. 484-494, 1985
- E. Zafiriou, 'Robust Model Predictive Control of Processes with Hard Constraint,' Computer Chem. Engng., vol. 14, pp. 359-371, 1990 https://doi.org/10.1016/0098-1354(90)87012-E
- E. Zafiriou, and A. Marchal, 'Stability of SISO Quadratic Dynamic Matrix Control with Hard Output Constraint,' AIChE J., vol. 37, pp. 1550-1560, 1991 https://doi.org/10.1002/aic.690371012
-
H. Genceli and M. Nikolaou, 'Robust Stability Analysis of Constrained
$l_1-norm$ Model Predictive Control,' AIChE J., vol. 39, pp. 1954-1965, 1993 https://doi.org/10.1002/aic.690391206 - E. Polak and T. H. Yang, 'Moving Horizon Control of Linear Systems with Input Saturation and Plant Uncertainty -1. Robustness,' International Journal of Control, vol. 53, pp. 613-638, 1993 https://doi.org/10.1080/00207179308923019
- E. Polak and T. H. Yang, 'Moving Horizon Control of Linear Systems with Input Saturation and Plant Uncertainty - 2. Disturbance Rejection and Tracking,' International Journal of Control, vol. 58, pp. 639-663, 1993 https://doi.org/10.1080/00207179308923020
- J. Y. Lee, 'Receding Horizon Predictive Control for the Continuous-time Systems,' Proc. of the 32nd SICE annual Conference, pp. 1067-1072, 1993
- P. J. Campo and M. Morari, 'Robust Model Predictive Control,' Proc. of American Control Conference, pp. 1021-1026, 1987
- J. C. Allwright and G. C. Papavasiliou, 'On Linear Programming and Robust Model Predictive Control Using Impulse Response,' Systems and Control Letters, vol. 18, pp. 159-164, 1992 https://doi.org/10.1016/0167-6911(92)90020-S
- Z. Q. Zheng and M. Morari, 'Robust Stability of Constrained Model Predictive Control,' Proc. of American Control Conference, pp. 379-383, 1993 https://doi.org/10.1109/ACC.1993.4175869
- S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, vol. 15, SIAM, Philadelphia, 1994
- M. V. Kothare, V. Balakrishnana, and M. Morari, 'Robust Constrained Model Predictive Control using Linear Matrix Inequalities,' Automatica, vol. 32, no. 10, pp. 1361-1379, 1996 https://doi.org/10.1016/0005-1098(96)00063-5
- B. G. Park and W. H. Kwon, 'Robust one-step Receding Horizon Control for Constrained Systems,' International Journal of Robust and Nonlinear Control, vol. 9, no. 7, pp. 381-395, 1999 https://doi.org/10.1002/(SICI)1099-1239(199906)9:7<381::AID-RNC409>3.0.CO;2-#
- D. W. Clake, 'Advanced in Model-based Predictive Control,' Advances in Model-Based Predictive Control, Oxford University Press, pp. 3-21, 1994
- J. W. Lee, 'Robustness of Receding Horizon Control,' Technical Report of Information Systems Lab. in Seoul National University, SNUISL 9317, 1993
-
I. Yaesh and U. Shaked, 'Minimum
$H_{\infty}$ norm Regulation of Linear Discrete-time Systems and Its Relation to Linear Quadratic Discrete Games,' IEEE Trans. of Automatic Control, vol. 35, pp. 1061-1064, 1990 https://doi.org/10.1109/9.58538 - T. Basar, 'A Dynamic Game Approach to Controller Design : Disturbance Rejection in Discrete-time,' IEEE Trans. of Automatic Control, vol. 36, pp. 936-952, 1991 https://doi.org/10.1109/9.133187
- G. Tadmor, 'Receding Horizon Revised : An Easy way to Robustly Stabilize an LTV Systems,' Systems and Control Letters, vol. 18, pp. 285-294, 1992 https://doi.org/10.1016/0167-6911(92)90058-Z
- S. Lall and K. Glover, 'A Game Theoretic Approach to Moving Horizon Control,' Advances in Model-Based Predictive Control, Oxford University Press, pp. 131-144, 1994
-
J. W. Lee, W. H. Kwon, and J. H. Lee, 'Receding Horizon
$H_{\infty}$ Tracking Control for Time-Varying Discrete Linear Systems,' International Journal of Control, vol. 68, pp. 385-399, 1999 -
K. B. Kim and W. H. Kwon, 'Stabilizing Receding Horizon
$H_{\infty}$ Control for Linear Discrete Time-varying Systems,' International Journal of Control, vol. 75, no. 8, pp. 1449-1456, 2002 https://doi.org/10.1080/0020717021000025986 - M. Sznaier and M. J. Damborg, 'Suboptimal Control of Linear Systems with State and Control Inequality Constraint,' Proc. of Conf. Decision Contr., pp. 761-762, 1987 https://doi.org/10.1109/CDC.1987.272491
- M. Sznaier and M. J. Damborg, 'Heuristically Enhanced Feeback Control of Constrained Discrete-time Linear Systems,' Automatica, vol. 26, pp. 521-531, 1990 https://doi.org/10.1016/0005-1098(90)90023-B
- P. O. M. Scokaert and M. J. Rawlings, 'Infinite Horizon Linear Quadratic Control with Constraints,' Proc. of IFAC World Congress, pp. 109-114, 1996
- P. O. M. Scokaert and M. J. Rawlings, 'Constrained Linear Quadratic Regulation,' IEEE Trans. of Automatic Control, vol. 43, pp. 1163-1169, 1998 https://doi.org/10.1109/9.704994
- D. Chmielewski and V. Manousiouthakis, 'On Constrained Infinite-time Linear Quadratic Optimal Control,' Systems and Control Letters, vol. 29, pp. 121-129, 1996 https://doi.org/10.1016/S0167-6911(96)00057-6
- R. R. Fletcher, Practical Methods of Optimization, Wiley, 2nd Edition, 1987
- J. E. Nesterov and A. S. Nemirovsky, Interior Point Polynomial Methods in Convex Programming : Theory and Applications, SIAM, Philadelphia, 1994
- S. J. Wright, Primal-Dual Interior Point Methods, SIAM, Philadelphia, 1974
- C. Roos, T. Terlaky, and J.-Ph. Vial, Theory and Algorithms for Linear Optimization - An Interior Point Approach, Wiley, Chichester, 1997
- C. E. Garcia, 'Quadratic Dynamic Matrix Control of Nonlinear Processes : An Applicaton to a Batch Reactor Process,' Proc. of AIChE Annual Meeting, San Francisco, 1984
- D. Q. Mayne and H. Michalska, 'Receding Horizon Control of Nonlinear Systems,' IEEE Trans. of Automatic Control, vol. 35, no. 7, pp. 8141-824, 1990 https://doi.org/10.1109/9.57020
- H. Michalska and D. Q. Mayne, 'Receding Horizon Control of Nonlinear Systems without differentiability of optimal value function,' Systems and Control Letters, vol. 16, pp. 123-130, 1991 https://doi.org/10.1016/0167-6911(91)90006-Z
- H. Michalska and D. Q. Mayne, 'Robust Receding Horizon Control of Constrained Nonlinear Systems,' IEEE Trans. of Automatic Control, vol. 38, no. 11, pp. 1623-1633, 1993 https://doi.org/10.1109/9.262032
- R. B. Vinter and H. Michalska, 'Receding Horizon Control for Nonlinear Time-varying Systems,' Proc. of Conf. Decision Cont., pp. 75-76, 1991 https://doi.org/10.1109/CDC.1991.261257
- L. Kershenbaum, D. Q. Mayne, R. Pytlak, and R. B. Vinter, 'Receding Horizon Control, Oxford University Press, pp. 523-535, 1994
- S.S. Keerthi and E.G. Gilbert, 'Optimal Infinite-horizon Feedback Laws for a General Class of Constrained Discrete-time Systems: Stability and Moving-horizon Approximations,' J. Optimiz. Theory and Appl., vol. 57, pp. 265-293, 1988 https://doi.org/10.1007/BF00938540
- E. Meadows and J. Rawlings, 'Receding Horizon Control with an Infinite Horizon,' Proc. of American Control Conference, pp. 2926-2930, 1993 https://doi.org/10.1109/ACC.1993.4176426
- M. Alamir and G. Bornard, 'New Sufficient Conditions for Global Stability of Receding Horizon Control for Discrete-time Nonlinear Systems,' Advances in Model-Based Predictive Control, Oxford University Press, pp. 173-181, 1994
- J. Hauser and M. C. Lai, 'Estimating. Quadratic Stability Domains By Nonsmooth Optimization,' Proc. of American Control Conference, pp. 571-576, 1992 https://doi.org/10.1109/ACC.1992.4175127
- H. Chen and F. Allgower, 'A Quasi-infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability,' Automatica, vol. 34, no. 10, pp. 1205-1217, 1998 https://doi.org/10.1016/S0005-1098(98)00073-9
- T. Parisini and R. Zoppoli, 'A Receding Horizon Regulator for Nonlinear Systems and a Neural Approximation,' Automatica, vol. 31, pp. 1443-1451, 1995 https://doi.org/10.1016/0005-1098(95)00044-W
- G. De Nicolao, L. Magni, R. Scattolini, 'Stabilizing Receding-horizon Control of Nonlinear Time-varying Systems,' IEEE Trans. of Automatic Control, vol. 43, No. 7, pp. 1030-1036, 1998 https://doi.org/10.1109/9.701133
- J. A. Primbs, V. Nevistic, and J. C. Doyle, 'A Receding Horizon Generalization of Pointwise Min-norm Controllers,' IEEE Trans. of Automatic Control, vol. 45, No. 5, pp. 898-909, 2000 https://doi.org/10.1109/9.855550
- A. Jadbabaie, J. Yu and J. Hauser, 'Stabilizing Receding Horizon Control of Nonlinear Systems : A Control Lyapunov Function Approach,' Proc. of American Control Conference, pp. 1535-1539, 1999 https://doi.org/10.1109/ACC.1999.786082
- R. Freeman and P. V. Kokotovic, Robust Nonlinear Control Design, Birkhauser, Boston, 1996
- E. D. Sontag, 'A Universal Construction of Arstein's Theorem on Nonlinear Stabilization,' System and Control Letter, vol. 13, no. 2, pp. 117-123, 1989 https://doi.org/10.1016/0167-6911(89)90028-5
- A. Jadbabaie, 'Receding Horizon Control of Nonlinear Systems : Control Lyapunov Function Approach,' Ph. D. Dissertation, California Institute Technology, 2000
- J. Richalet, 'Industrial Application of Model Based Predictive Control,' Automatica, vol. 29, pp. 1251-1274, 1993 https://doi.org/10.1016/0005-1098(93)90049-Y
- C. E. Garcia, D. E. Prett, and M. Morari, 'Model Predictive Control - Theory and Practice - A Survey,' Automatica, vol. 25, Iss. 3, pp. 335-348, 1989 https://doi.org/10.1016/0005-1098(89)90002-2
- J. C. Engrand, 'Applications of Multivariable Control in a Refinery and Implementation on a Dedicated Minicomputer,' Proc. of JACC, FA9-D, 1980
- R. H. Luecke, J.C. Lewis, H.Y. Lin, and W. K. Yoon, 'Dynamic Matrix Control of a Batch Distillation Column,' Proc. of American Control Conference, pp. 209, 1985 https://doi.org/10.1109/ACC.1985.4171647
- K. L. Levien and M. Morari, 'Internal Model Control of Coupled Distillation Conlumn,' AIChE J., vol. 33, pp. 83, 1987 https://doi.org/10.1002/aic.690330111
- J. H. Lee, S. M. Gelormino, and M. Morari, 'Model Predictive Control of Multi-rate Sampled-data Systems : A State-space Approach,' International Journal of Control, vol. 55, no. 1, 1992 https://doi.org/10.1080/00207179208934231
- D. M. Prett and R. D. Gillette, 'Optimization and Constrained Multivariable Control of a Catalytic Cracking Unit,' AIChE National Mtg : also Proc. Joint Aut. Control Conf., 1979
- C. R. Cutler and R. B. Hawkins, 'Constrained Multivariable Control of a Hydrocracker Reactor,' Proc. of American Control Conference, pp. 1014-1020, 1987 https://doi.org/10.1109/ACC.1987.4172490
- J. M. Caldwell and G. D. Martin, 'On-line Analyzer Predictive Control,' Proc. of 6th Annual Control Expo Conference, 1987
- F. Lebourgeois, 'IDCOM Application and Experiences on a PVC Production Plant,' Proc. of JACC, FA9-C, 1980
- F. S. Ozgulsen, S. J. Kendra, and A. Cinar, 'Nonlinear Predictive Control of Periodically Forced Chemical Reactors,' AIChE J., vol. 39, no. 4, 1993 https://doi.org/10.1002/aic.690390407
- Y. Arkun, J. Hollet, W. M. Canney, M. Morari, 'Experimental Study of Internal Model Control,' Ind. Chem. Process Des. Dev., vol. 25, 1986
- F. Berlin and P. M. Frank, 'Design and Realization of a MIMO Predictive Controller for a 3-tank System,' Advances in Model-Based Predictive Control, Oxford University Press, pp. 446-457, 1994
- R. K. Mehra and R. Rouhani, J. Ererno, and J. Richalet, 'Model Algorithm Control : Review and Recent Development,' Eng. Foundation Conf. on Chemical Process Control II, pp. 287-310, 1982
- J. R. Parrish and C. B. Brosilow, 'Inferential Control Application,' Automatica, vol. 21, pp. 527-538, 1985 https://doi.org/10.1016/0005-1098(85)90002-0
- R. K. Mehra, W. C. Kessel, A. Rault, J. Richalet, and J. Papon, 'Model Algorithm Control using IDCOM for the F100 Jet Engine Multivariable Control Design Problem,' in Alternative for Linear Multivariable Control, 1978
- S. Venugopal and Y. P. Gupta, 'Predictive Control of a Circulating Fluidized Bed Combustor,' The Canadian Journal of Chemical Engineering, vol. 69, pp. 130-135, 1991 https://doi.org/10.1002/cjce.5450690115
- J. G. Reid, D. E. Chaffin, and J. T. Silverthron, 'Output Predictive Algorithm Control : Precision Tracking with Application to Terrain Following,' Journal of Guidance and Control, vol. 4, no. 5, pp. 502-509, 1981 https://doi.org/10.2514/3.19752
- E. G. Kassapakis and G. K. Warwick, 'Predictive Algorithm for Autopilot Design,' Advances in Model-Based Predictive Control, Oxford University Press, pp. 458-470, 1994
- S. J. Qin and T. A. Badgwell, 'An Overview of Industrial Model Predictive Control Technology,' Proc. of Chem. Proc. Contr. V, pp. 232-256, 1996
- S. J. Qin and T. A. Badgwell, 'A Survey of Industrial Model Predictive Control Technology,' appear in Control Engineering Practice, 2003 https://doi.org/10.1016/S0967-0661(02)00186-7