Receding horizon control: Model predictive control for state models

Advanced Textbooks in Control and Signal Processing

Volumn , Issue 9781846280245, 2005, Pages 323-380

  Kwon, Wook Hyun ^a   Han, Soohee ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL ENGINEERING; ELECTRICAL ENGINEERING; SIGNAL PROCESSING;

RECEDING HORIZON CONTROL; STATE MODELS;

MODEL PREDICTIVE CONTROL;

EID: 84873804486     PISSN: 14392232     EISSN: 25103814     Source Type: Book Series    
DOI: None     Document Type: Chapter

References (126)

1. C. K. Ahn, S. Han, and W. H. Kwon. Minimax finite memory controls for discrete-time state-space systems. Seoul Nat’l Univ., School of EE & CS Tech. Report No. SNU-EE-TR-2004-3, 2004-3, Nov. 2004.
2. B. D. O. Anderson and J. B. Moore. Coping with singular transition matrices in estimation and control stability theory. Int. J. Contr., 31:571– 586, 1980.
3. D. O. Anderson and J. B. Moore. Optimal Control: Linear Quadratic Methods. Prentice-Hall International Editions, Englewood Cliffs, NJ 07632, 1989.
4. M. A. Athans. Special issue on the LQG problem. IEEE Trans. Automat. Contr., 16(6):527–869, 1971.
5. K. J. Åström and B. Wittenmark. On self-tuning regulators. Automatica, 9(2):185–199, 1973.
6. F. Allgower and A. Zheng. Nonlinear predictive control: assessment and future directions. In Proc. of International Workshop on Model Predictive Control, Ascona 1998, Springer, Berlin, 1999.
7. Frank Allgower and Alex Zhen. Nonlinear Model Predictive Control (Progress in Systems and Control Theory. Birkhauser,Boston, 2000.
8. ∞ – Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. Birkhauser, Boston, 1991.
9. R. E. Bellman and S. E. Dreyfus. Applied Dynamic Programming. Princeton University Press, Princeton, NJ, 1962.
10. R. E. Bellman. Dynamic Programming. Princeton University Press, Princeton, NJ, 1957.
11. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory, volume 15. SIAM, Philadelphia, PA, 1994.
12. R. R. Bitmead, M. Gevers, and I. R. Petersen. Monotonicity and sta-bilizability properties of solutions of the Riccati difference equation: propositions, lemmas, theorems, fallacious conjecture and counterexamples. Systems and Control Letters, 5:309–315, 1985.
13. R. R. Bitmead, M. Gevers, and V. Wertz. Adaptive Optimal Control: The Thinking Man’s GPC. Prentice-Hall, 1990.
14. A. D. Bryson and Y. C. Ho. Applied Optimal Control. John Wiley & Sons, Inc., Hemisphere, New York, 1975.
15. ∞ error bound. Systems and Control Letters, 12:9–16, 1989.
16. G. J. Bierman. Fixed memory least squares filtering. IEEE Trans. Automat. Contr., 20:690–692, 1975.
17. R. E. Bellman and R. E. Kalaba. Dynamic Programming and Modern Control Theory. Academic Press, New York, 1965.
18. A. M. Bruckstein and T. Kailath. Recursive limited memory filtering and scattering theory. IEEE Trans. Inform. Theory, 31:440–443, 1985.
19. F. Blanchini. Constrained control for uncertain linear systems. Journal of Optimizaton Theory and Applications, pages 465–484, 1991.
20. S. Boyd, E. Feron L. E. Ghaoui, and V. Balakrishnan. Linear matrix inequalities in system and control theory. System and Control Theory, 1994.
21. Sergio Bittanti, Alan J. Laub, and Jan C. Willems. The Riccati Equation. Springer-Verlag, 1991.
22. T. Başar and G. J. Olsde. Dynamic Noncooperative Game Theory. Academic Press, London, New York, 1982.
23. Jeffrey B. Burl. Linear Optimal Control. Addison-Wesley, California, 1998.
24. P. J. Buxbaum. Fixed-memory recursive filters. IEEE Trans. Inform. Theory, 20:113–115, 1974.
25. H. Chen and F. Allgower. Nonlinear model predictive control schemes with guaranteed stabilty. In NATO ASI on Nonlinear Model Based Process Control, 465–494, 1998.
26. E. F. Camacho and C. Bordons. Model Predictive Control (Advanced Textbooks in Control and Signal Processing). Springer Verlag, 2004.
27. D. W. Clarke and P. J. Gawthrop. Self-tuning control. IEE Proc. Pt. D, 126(6):633–640, 1979.
28. D. W. Clarke. Advances in model-based predictive control. Advances in Model-Based Predictive Control, pages 2–21, 1994.
29. D. W. Clarke, C. Mohtadi, and P. S. Tuffs. Generalized predictive control– part I. the basic algorithm. Automatica, 23(2):137–148, 1987.
30. C. R. Cutler and B. L. Ramaker. Dynamic matrix control: a computer control algorithm. In Joint Automatic Control Conf., San Francisco, U.S.A, 1980.
31. H. Demircioglu and D. W. Clarke. Generalised predictive control with end point weighting. IEE Proc. Pt. D, 140(4):275–282, 1993.
32. Liu Danyang and Liu Xuanhuang. Optimal state estimation without the requirement of a priori statistics information of the initial state. IEEE Trans. Automat. Contr., 39(10):2087–2091, 1994.
33. R. W. Eustace, B. A. Woodyatt, G. L. Merrington, and A. Runacres. Fault signatures obtained from fault implant tests on an F404 engine. ASME Trans. J. of Engine, Gas Turbines, and Power, 116(1):178–183, 1994.
34. M. Green and D. J. N. Limebeer. Linear Robust Control. Prentice-Hall, Englewood Cliffs, New Jersey, 1995.
35. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali. LMI Control Toolbox. The MATHWORKS Inc., USA, 1995.
36. C. E. García, D. M. Prett, and M. Morari. Model predictive control: Theory and practice–a survey. Automatica, 25(3):335–348, 1989.
37. M. J. Grimble. Workshop on nonlinear predictive control. Oxford University, 18–19 July, 2002.
38. Elmer G. Gilbert and Kok Tin Tan. Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Trans. on Auto. Control, 36(9):1008–1020, 1991.
39. ∞ control for nonlinear discrete-time systems. IEE Proc.-Control Theory Appl., 149(6):540–546, 2002.
40. S. Han and W. H. Kwon. Receding horizon finite memory controls for output feedback controls of disrete-time state space models. In Proc. of the 30th Annual Conference of the IEEE Industrial Electronics Society, Busan, Korea, 2004.
41. Sunan Huang, Tan Kok Kiong, and Lee Tong Heng. Applied Predictive Control. Springer Verlag, 2002.
42. S. Han, P. S. Kim, and W. H. Kwon. Receding horizon FIR filter with estimated horizon initial state and its application to aircraft engine systems. In Proc. IEEE Int. Conf. Contr. Applications, pages 33–38, Hawaii, USA, 1999.
43. S. Han, W. H. Kwon, and Pyung Soo Kim. Receding horizon unbiased FIR filters for continuous-time state space models without a priori initial state information. IEEE Trans. Automat. Contr., 46(5):766–770, 2001.
44. S. Han, W. H. Kwon, and Pyung Soo Kim. Quasi-deadbeat minimax filters for deterministic state-space models. IEEE Trans. Automat. Contr., 47(11):1904–1908, 2002.
45. Babak Hassibi, Ali H. Sayed, and Thomas Kailath. Indefinite Quadratic Estimation and Control. SIAM studies in applied and numerical mathematics, 1999.
46. A. H. Jazwinski. Limited memory optimal filtering. IEEE Trans. Automat. Contr., 13:558–563, 1968.
47. J. W. Jun, S. Han, and W. H. Kwon. Fir filters and dual iir filters. Seoul Nat’l Univ., School of EE & CS Tech. Report No. SNU-EE-TR-2004-6, 2004-6, Nov. 2004.
48. R. E. Kalman. Lyapunov functions for the problem of lur’e in automatic control. Proc. Nat. Acad. Sci., 49:201–205, 1963.
49. R. E. Kalman and R. S. Bucy. A new approach to linear filtering and prediction problems. Trans. ASME J. of Basic Engr., 82:35–45, 1960.
50. R. E. Kalman and R. S. Bucy. New results in linear filtering and prediction theory. Trans. ASME J. of Basic Engr., 83:95–108, 1961.
51. W. H. Kwon and D. G. Byun. Receding horizon tracking control as a predictive control and its stability properties. Int. J. Contr., 50:1807– 1824, 1989.
52. W. H. Kwon, A. M. Bruckstein, and T. Kailath. Stabilizing state-feedback design via the moving horizon method. Int. J. Contr., 37:631– 643, 1983.
53. M. V. Kothare, V. Balakrishnan, and M. Morari. Robust constrained model predictive control using linear matrix inequalities. Automatica, 32:1361–1379, 1996.
54. Basil Kourvaritakis and Mark Cannon. Nonlinear Predictive Control: Theory & Practice. IEE Publishing, 2000.
55. 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 approximation. J. of Optimization Theory and Applications, 57:265–293, 1988.
56. I. Kolmanovsky and E. C. Gilbert. Theory and computation of disturbance invariant sets for discrete-time linear systems. Math. Prob. Eng., pages 117–123, 1998.
57. J. C. Kantor, C. E. Garcia, and B. Carnahan. In In Fifth International Conference on Chemical Process Control, CACHE, A.I.Ch.E., 1997.
58. W. H. Kwon and S. Han. Receding horizon finite memory controls for output feedback controls of state space models. IEEE Trans. Automat. Contr., 49(11):1905–1915, 2004.
59. W. H. Kwon, S. Han, and C. K. Ahn. Advances in nonlinear predictive control: A survey on stability and optimality. International Journal of Control, Automations, and Systems, 2(1):15–22, 2004.
60. Hans W. Knobloch, Alberto Isisori, and Dietrich Flockerzi. Topics in Control Theory. Birkhauser Verlag, 1993.
61. D. E. Kirk. Optimal Control Theory. Prentice-Hall, Englewood Cliffs, New Jersey, 1970.
62. W. H. Kwon and K. B. Kim. On stabilizing receding horizon controls for linear continuous time-invariant systems. IEEE Trans. Automat. Contr., 45(7):1329–1334, 2000.
63. W. H. Kwon, Pyung Soo Kim, and S. Han. A receding horizon unbiased FIR filter for discrete-time state space models. Automatica, 38(3):545– 551, 2002.
64. W. H. Kwon, P. S. Kim, and P. Park. A receding horizon Kalman FIR filter for discrete time-invariant systems. IEEE Trans. Automat. Contr., 44(9):1787–1791, 1999.
65. D. L. Kleinman. An easy way to stabilize a linear constant system. IEEE Trans. Automat. Contr., 15:692, 1970.
66. D. L. Kleinman. Stabilizing a discrete, constant, linear system with application to iterative methods for solving the Riccati equation. IEEE Trans. Automat. Contr., 19:252–254, 1974.
67. W. H. Kwon and A. E. Pearson. A modified quadratic cost problem and feedback stabilization of a linear system. IEEE Trans. Automat. Contr., 22(5):838–842, 1977.
68. W. H. Kwon and A. E. Pearson. A note on the algebraic matrix Riccati equation. IEEE Trans. on Automat. Contr., 22:143–144, 1977.
69. W. H. Kwon and A. E. Pearson. A modified quadratic cost problem and feedback stabilization of a linear discrete time system. Brown Univ., Div. Eng. Tech. Rep., AFOSR-75-2793C/1, Sept. 1977.
70. W. H. Kwon and A. E. Pearson. On feedback stabilization of time-varying discrete linear systems. IEEE Trans. Automat. Contr., 23(3):479–481, 1978.
71. B. Kouvaritakis, J. A. Rossiter, and A. O. T. Chang. Stable generalised predictive control: an algorithm with guaranteed stability. IEE Proc. Pt. D, 139(4):349–362, 1992.
72. H. Kwakernaak and R. Sivan. Linear Optimal Control Systems. Wiley Interscience, 1972.
73. Thomas Kailath, Ali H. Sayed, and Babak Hassibi. Linear Estimation. Prentice Hall, 2000.
74. V. Kucera. Analysis and Design of Discrete Linear Control Systems. Prentice Hall, 1991.
75. W. H. Kwon. Advances in predictive control: theory and application. In Asian Control Conference, Tokyo, 1994.
76. ∞ controls for linear continuous time-varying systems. IEEE Trans. Automat. Contr., 46(8):1273–1279, 2001.
77. ∞ control for time varing systems. SIAM Journal of Control and Optimization, 30(2):262–283, 1992.
78. J. H. Lee and B. Cooley. Recent advances in model predictive control and other related areas. In Fifth International Conference on Chemical Process Control, CACHE, AIChE, pages 201–216, 1997.
79. F. L. Lewis. Optimal Control. John Wiley & Sons, Inc., 1986.
80. F. L. Lewis. Optimal estimation. John Wiley & Sons, Inc., 1986.
81. S. Lall and K. Glover. A game theoretic approach to moving horizon control. Advances in Model-Based Predictive Control, pages 131–144, 1994.
82. Y. S. Lee, S. Han, and W. H. Kwon. Nonlinear receding horizon controls with quadratic cost functions. Seoul Nat’l Univ., School of EE & CS Tech. Report No. SNU-EE-TR-2004-7, 2004-7, Nov. 2004.
83. Y. I. Lee and B. Kouvaritakis. Constrained receding horizon predictive control for systems with disturbances. Int. J. Control, 72(11):1027–1032, 1999.
84. Y. I. Lee and B. Kouvaritakis. Receding horizon output feedback control for linear systems with input saturation. IEE Proc.-Control Theory Appl., 148(2):109–115, 2001.
85. J. W. Lee, W. H. Kwon, and J. H. Choi. On stability of constrained receding horizon control with finite terminal weighting matrix. Automatica, 34(12):1607–1612, 1998.
86. ∞ tracking control for time-varying discrete linear systems. Int. J. Contr., 68:385– 399, 1999.
87. K. V. Ling and K. W. Lim. Receding horizon recursive state estimation. IEEE Trans. Automat. Contr., 44(9):1750–1753, 1999.
88. J. M. Maciejowski. Predictive Control with Constraints. Prentice Hall, 2002.
89. D. Q. Mayne. Optimization in model based control. In Proc. of the IFAC Symposium on Dynamics and Control Chemical Reactors and Batch Processes, 229–242, 1995.
90. D. Q. Mayne. Nonlinear model predictive control: an assessment. In Fifth International Conference on Chemical Process Control, CACHE, A.I.Ch.E, pages 217–231, 1997.
91. J. M. Mendel and D. L. Gieseking. Biblography on the linear quadratic Gaussian problem. IEEE Trans. Automat. Contr., 16(6):847–869, 1971.
92. G. Martin and D. Johnston. Continuous model-based optimization. In Proc. of Process Optimization Conference, Texas, 1998.
93. M. Morari and J. H. Lee. Model predictive control: past, present, and future. Computers and Chemical Engineering, 23:667–682, 1999.
94. D. Q. Mayne and H. Michalska. Receding horizon control of nonlinar systems. IEEE Trans. Automat. Contr., 35(7):814–824, 1990.
95. H. Michalska and D. Q. Mayne. Robust receding horizon control of constrained nonlinear systems. IEEE Trans. Automat. Contr., 38(11):1623– 1633, 1993.
96. Edoardo Mosca. Optimal, Predictive and Adaptive Control. Prentice Hall, 1995.
97. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert. Constrained model predictive control: stability and optimality. Automatica, 36:789–814, 2000.
98. L. Magni and R. Sepulchre. Stability magins of nonlinear receding horizon control via inverse optimality. System & Control Letters, pages 241–245, 1997.
99. Juan Martin-Sanchez and Jose Rodellar. Adaptive Predictive Control: Industrial Plant Optimization. Prentice Hall, 1996.
100. G. D. Nicolao, L. Magni, and R. Scattolini. On the robustness of receding-horizon control with terminal constraints. IEEE Trans. Automat. Contr., 41(3):451–453, 1996.
101. G. De Nicolao, L. Magni, and R. Scattolini. Stabilizing nonlinear receding horizon control via a nonquadratic penelty. In Proc. of the IMACS Multiconference CESA, Lille, France, 1996.
102. V. Nevistic and J. Primbs. Finite receding horizon linear quadratic control: a unifying theory for stability and performance analysis. Technical Report CIT-CDS 97-001, Automatic Control Lab., Swiss Fedral Institute of Technology, 1997.
103. G. D. Nicolao and S. Strada. On the stability of receding-horizon LQ control with zero-state terminal constraint. IEEE Trans. Automat. Contr., 22(2):257–260, 1997.
104. M. Ohshima, H. Ohno, and I. Hashimoto. Model predictive control: experience in the university industry joint projects and statistics on mpc applications in japan. In Inernational Workshop on Predictive and Receding Horizon Control, Seoul, Korea, 1995.
105. M. A. Poubelle, R. R. Bitmead, and M. R. Gevers. Fake algebraic Riccati techniques and stability. IEEE Trans. Automat. Contr., 33:479–481, 1988.
106. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mis-chenko. The Mathematical Theory of Optimal Processes. Interscience Publishers, New York, 1962.
107. James A. Primbs, Vesna Nevistic, and John C. Doyle. A receding horizon generalization of pointwise min-norm controllers. IEEE Trans. Automat. Contr., 45(5):898–909, 2000.
108. V. M. Popov. Hyperstability and optimality of automatic systems with several control functions. Rev. Roum. Sci. Tech. Ser Electrotech. Energ., 9:629–690, 1964.
109. S. J. Qin and T. A. Badgwell. An overview of industrial model predictive control technology. In In Fifth Int. Conf. on Chemical Process Control, volume 316, 232–256, 1997.
110. S. J. Qin and T. A. Badgwell. An overview of nonlinear model predictive control applications. In Nonlinear Model Predictive Control, volume 26 of Progress in Systems and Control Theory, Birkhauser, 2000.
111. S. Joe Qin and Thomas A. Badgwell. A survey of industrial model predictive control technology. Control Engineering Practice, 11(7):733– 764, 2003.
112. J. B. Rawlings and K. R. Muske. The stability of constrained receding horizon control. IEEE Trans. Automat. Contr., 38:1512–1516, 1993.
113. J. B. Rawlings, E. S. Meadows, and K. R. Muske. Nonlinear model: a tutorial and survey. In ADCHEM 94 Proceedings, Kyoto, Japan, 185– 197, 1994.
114. J. A. Rossiter. Model-Based Predictive Control: A Practical Approach. CRC Press, 2003.
115. J. Richalet, A. Rault, J.L. Testud, and J. Papon. Model predictive heuristic control: applications to industrial processes. Automatica, 14:413–428, 1978.
116. P. O. M. Scokaert and D. W. Clarke. Stability and feasibility in constrained predictive control. In D. W. Clarke, editor, Advances in model-based predictive control, Oxford, England., 1994. Oxford University Press.
117. F. C. Schweppe. Uncertain Dynamic Systems. Prentice-Hall, NJ, Englewood Cliffs, 1973.
118. R. Soeterboek. Predictive Control: A Unified Approach. Prentice-Hall, 1992.
119. P. O. M. Scokaert and J. B. Rawlings. Constrained linear quadratic regulation. IEEE Trans. Automat. Contr., 43(8):1163–1169, 1998.
120. Aaron Strauss. An Introduction to Optimal Control Theory. Springer-Verlag, 1968.
121. L. Vandenberghe and S. Boyd. Semidefinite programming. SIAM Review, 38:49–95, 1996.
122. W. M. Wonham. On the separation theorem of stochastic control. SIAM Journal of Control and Optimization, 6(0):312–326, 1968.
123. V. A. Yakubovic. The solution of certain matrix inequalities in automatic control theory. Dokl. Akad. Nauk, 143:1304–1307, 1962.
124. E. Yaz. A suboptimal terminal controller for linear discrete-time systems. Int. J. Contr., 40:271–289, 1984.
125. Kemin Zhou, John C. Doyle, and Keith Glover. Robust and Optimal Control. Prentice Hall, 1996.
126. A. Zheng and M. Morari. Stability of model predictive control with mixed constraints. IEEE Trans. Automat. Contr., 40(10):1818–1823, 1995.