Robust model predictive control of constrained non-linear systems: Adopting the non-squared integrand objective function

IET Control Theory and Applications

Volumn 9, Issue 5, 2015, Pages 649-658

  Liu, Xiaotao ^a   Constantinescu, Daniela ^a   Shi, Yang ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP SYSTEMS; COSTS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS; NUMERICAL METHODS; PREDICTIVE CONTROL SYSTEMS; ROBUST CONTROL;

APPROPRIATE DESIGNS; CONTROL CONSTRAINT; CONTROL LYAPUNOV FUNCTION; EXTERNAL DISTURBANCES; OBJECTIVE FUNCTIONS; ROBUST MODEL PREDICTIVE CONTROL; SAMPLING INTERVAL; TERMINAL WEIGHTING MATRIX;

MODEL PREDICTIVE CONTROL;

EID: 84925983153     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2013.1078     Document Type: Article

References (42)

1. Farina, M., Scattolini, R.: 'Tube-based robust sampled-data MPC for linear continuous-time systems', Automatica, 2012, 48, (7), pp. 1473- 1476
2. Qin, S.J., Badgwell, T.A.: 'An overview of nonlinear model predictive control applications'. in Fifth International Conf. on Chemical Process Control, CACHE, AIChE, California, USA, 1997, pp. 232-256
3. Mayne, D.Q., Rawlings, J.B., Rao C.V., Scokaert, P.O.M.: 'Constrained model predictive control: Stability and optimality', Automatica, 2000, 36, (6), pp. 789-814
4. Bitmead, R.R., Gevers, M., Wertz, V.: 'Adaptive optimal control - the thinking Man's GPC' (Upper Saddle River, NJ, Prentice-Hall, 1990)
5. Primbs, J. A., Nevistic, V.: 'Constrained finite receding horizon linear quadratic control'. Technical Report, California Institute of Technology, Pasadena, CA, 1997
6. Nevistic, V., Primbs, J.A.: 'Finite receding horizon linear quadratic control: A unifying theory for stability and performance analysis'. Technical Report, California Institute of Technology, Pasadena, CA, 1997
7. Rawlings, J.B., Muske, K.R.: 'The stability of constrained receding horizon control', IEEE Trans. Autom. Control, 1993, 38, (10), pp. 1512-1516
8. Mayne, D.Q., Langson, W.: 'Robustifying model predictive control of constrained linear systems', Electron. Lett., 2001, 37, (23), pp. 1422-1423
9. Mayne, D.Q., Seron, M.M., Rakovíc, S.V.: 'Robust model predictive control of constrained linear systems with bounded disturbances', Automatica, 2005, 41, (2), pp. 219-224
10. Langson, W., Chryssochoos, I., Rakovíc, S.V., Mayne, D.Q.: 'Robust model predictive control using tubes', Automatica, 2004, 40, (1), pp 125-133
11. Rakovíc, S.V., Kouvaritakis, B., Cannon, M., Panos, C., Findeisen, R.: 'Parameterized tube model predictive control', IEEE Trans. Autom. Control, 2012, 57, (11), pp. 2746-2761
12. Scokaert, P.O.M., Mayne, D.Q.: 'Min-max feedback model predictive control for constrained linear systems', IEEE Trans. Autom. Control, 1998, 43, (8), pp. 1136-1142
13. Kerrigan, E.C., Maciejowski, J.M.: 'Feedback min-max model predictive control using a single linear program: Robust stability and the explicit solution', Int. J. Robust Nonlinear Control, 2004, 14, (4), pp. 395-413
14. Mayne, D.Q., Michalska, H.: 'Receding horizon control of nonlinear systems', IEEE Trans. Autom. Control, 1990, 35, (7), pp 814-824
15. Chen, H., Allgöwer, F.: 'A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability', Automatica, 1998, 34, (10), pp. 1205-1217
16. Findeisen, R., Imsland, L., Allgöwer, F., Foss, B.: 'Towards a sampled-data theory for nonlinear model predictive control'. In Kang, W., Borges, C., and Xiao, M. (Eds): 'New trends in nonlinear dynamics and control and their applications', Lecture Notes in Control and Information Sciences, New York, Springer-Verlag, 295, pp. 295-311, 2003
17. Findeisen, R., Raff, T., Allgöwer, F.: 'Sampled-data nonlinear model predictive control for constrained continuous time systems'. In Tarbouriech, S., Garcia, G., and Glattfelder, A.H. (Eds): 'Advanced strategies in control systems with input and output constraints', Lecture Notes in Control and Information Sciences, Springer-Verlag, New York, 346, pp. 207-235, 2007
18. Yu, S., Reble, M., Chen, H., Allgöwer, F.: 'Inherent robustness properties of quasi-infinite horizon MPC'. Proc. 18th IFAC World Congress, Milano, Italy, 2011, pp. 179-184
19. Mayne, D.Q., Kerrigan, E.C., Wyk, E.J.V., Falugi, P.: 'Tube-based robust nonlinear model predictive control', Int. J. Robust Nonlinear Control, 2011, 21, (11), pp. 1341-1353
20. Rawlings, J.B., Mayne, D.Q.: 'Model predictive control: Theory and design' (Nob Hill publishing, Madison, Wisconsin, 2009)
21. Raimondo, D.M., Limon, D., Lazar, M., Magni, L., Camacho, E.F.: 'Min-max model predictive control of nonlinear systems: A unifying overview on stability', Eur. J. Control, 2009, 15, (1), pp. 1-17
22. Limon, D., Alamo, T., Raimondo, D.M., et al. : 'Input-to-state stability: A unifying framework for robust model predictive control'. In Magni, L., Raimondo, D.M., and Allgöwer, F. (Eds): 'Nonlinear model predictive control: Towards new challenging applications', Lecture Notes in Control and Information Sciences (Springer-Verlag, New York, 2009), 384, pp. 1-26
23. Mhaskar, P., EI-Farra, N.H., Christofides, P.D.: 'Predictive control of switched nonlinear systems with scheduled mode transitions', IEEE Trans. Autom. Control, 2005, 50, (11), pp. 1670-1680
24. Mhaskar, P., EI-Farra, N.H., Christofides, P.D.: 'Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predicted control', Syst. Control Lett., 2006, 55, (8), pp. 650-659
25. de Oliver, S.L., Morari, M.: 'Contractive model predictive control for constrained nonlinear systems', IEEE Trans. Autom. Control, 2000, 45, (6), pp. 1053-1071
26. Cheng, X., Krogh, B.H.: 'Stability-constrained model predictive control', IEEE Trans. Autom. Control, 2001, 46, (11), pp 1816-1820
27. Michalska, H., Mayne, D.Q.: 'Robust receding horizon control of constrained nonlinear systems', IEEE Trans. Autom. Control, 1993, 38, (11), pp. 1623-1633
28. Marruedo, D.L., Álamo, T., Camacho, E.F.: 'Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties'. Proc. 41st IEEE Conf. on Decision and Control, Las Vegas, Nevada, USA, 2002, pp. 4619-4624
29. Bao, X., Lin, Z., Sontag, E.D.: 'Finite gain stabilization of discretetime systems subject to actuator saturation', Automatica, 2000, 36, (2), pp. 269-277
30. Kim, J., Yoon, T., Jadbabaie, A., Persis, C.D.: 'Input-to-state stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraints', Syst. Control Lett., 2006, 55, (4), pp. 293-303
31. Dunbar, W.B., Caveney, D.S.: 'Distributed receding horizon control of vehicle platoons: Stability and string stability', IEEE Trans. Autom. Control, 2012, 57, (3), pp. 620-633
32. Li, H., Shi, Y.: 'Networked min-max model predictive control of constrained nonlinear systems with delays and packet dropouts', Int. J. Control, 2013, 86, (4), pp. 610-624
33. Li, H., Shi, Y.: 'Network-based predictive control for constrained nonlinear systems with two-channel packet dropouts', IEEE Trans. Ind. Electron., 2014, 61, (3), pp. 1574-1582
34. Blanchini, F.: 'Set invariance in control', Automatica, 1999, 35, (11), pp. 1747-1767
35. Hammer, J.: 'State feedback control of nonlinear systems: A simple approach', Int. J. Control, 2014, 87, (1), pp. 143-160
36. Nešíc, D., Grüne, L.: 'A receding horizon control approach to sampleddata implementation of continuous-time controllers', Syst. Control Lett., 2006, 55, (8), pp. 660-672
37. Khalil, H.K.: 'Nonlinear systems' (Upper Saddle River, NJ, Prentice- Hall, 2002)
38. Dunbar, W.B., Murray, R.M.: 'Distributed receding horizon control for multi-vehicle formation stabilization', Automatica, 2000, 42, (4), pp. 549-558
39. Russo, G., di Bernardo, M., Sontag, E.D.: 'A contraction approach to the hierarchical analysis and design of networked systems', IEEE Trans. Autom. Control, 2013, 58, (5), pp. 1328-1331
40. Lohmiller, W., Slotine, J.J.E.: 'On contraction analysis for non-linear systems', Automatica, 1998, 34, (6), pp. 683-696
41. Scokaert, P.O.M., Mayne, D.Q.: 'Min-max feedback model predictive control for constrained linear systems', IEEE Trans. Autom. Control, 1998, 43, (8), pp. 1136-1142
42. Liu, X., Constantinescu, D., Shi, Y.: 'Multistage suboptimal model predictive control with improved computational efficiency', ASME J. Dyn. Syst. Meas. Control, 2014, 136, (3), article id: 031026