Networked min-max model predictive control of constrained nonlinear systems with delays and packet dropouts

International Journal of Control

Volumn 86, Issue 4, 2013, Pages 610-624

  Li, Huiping ^a   Shi, Yang ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

constrained systems; input to state practical stability; model predictive control; networked control systems; nonlinear control; packet dropout; time delay

Indexed keywords

CONSTRAINED NONLINEAR SYSTEMS; CONSTRAINED SYSTEMS; INPUT AND STATE CONSTRAINTS; MIN-MAX MODEL PREDICTIVE CONTROLS; NON LINEAR CONTROL; NONLINEAR NETWORKED CONTROL SYSTEMS; PACKET DROPOUTS; PRACTICAL STABILITY;

LYAPUNOV FUNCTIONS; MODEL PREDICTIVE CONTROL; NETWORKED CONTROL SYSTEMS; TIME DELAY;

PREDICTIVE CONTROL SYSTEMS;

EID: 84876098596     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2012.751628     Document Type: Article

References (43)

1. Bemporad, A, Borrelli, F, and, Morari, M. 2003. Min-max Control of Constrained Uncertain Discrete-time Linear Systems. IEEE Transactions on Automatic Control, 48: 1600-1606. doi: 10.1109/TAC.2003.816984
2. Blanchini, F. 1999. Set Invariance in Control. Automatica, 35: 1747-1767. doi: 10.1016/S0005-1098(99)00113-2
3. Cannon, M, Kouvaritakis, B, and, Deshmukh, V. 2003. Enlargement of Polytopic Terminal Region in NMPC by Interpolation and Partial Invariance. Proceedings of the American Control Conference. 2003. pp. 4287-4292. Denver, Colorado
4. Chen, H, and, Allgöwer, F. 1998. A Quasi-infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability. Automatica, 34: 1205-1217. doi: 10.1016/S0005-1098(98)00073-9
5. Dong, H, Wang, Z, and, Gao, H. 2010. Robust H1 Filtering for a Class of Nonlinear Networked Systems with Multiple Stochastic Communication Delays and Packet Dropouts. IEEE Transactions on Signal Processing, 58: 1957-1966. doi: 10.1109/TSP.2009.2038965
6. Findeisen, R, and, Varutti, P. 2009. " Stabilizing Nonlinear Predictive Control Over Nondeterministic Communication Networks ". In Nonlinear Model Predictive Control, Edited by: Magni, L, Raimondo, DM and Allgower, F. Vol. 384, 167-179. Berlin, Heidelberg: Springer.
7. ∞ Output Tracking Control. IEEE Transactions on Automatic Control, 53: 655-667. doi: 10.1109/TAC.2008.919850
8. ∞ Filtering for Uncertain Discrete-time State-delayed Systems. IEEE Transactions on Signal Processing, 52: 1631-1640. doi: 10.1109/TSP.2004. 827188
9. Grüne, L, and, Pannek, J. 2011. Nonlinear Model Predictive Control: Theory and Algorithms, London: Springer.
10. Grüne, L, Pannek, J, and, Worthmann, K. 2009. A Prediction Based Control Scheme for Networked Systems with Delays and Packet Dropouts. Proceedings of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference. 2009. pp. 537-542. Shanghai, China
11. Gupta, RA, and, Chow, M-Y. 2010. Networked Control System: Overview and Research Trends. IEEE Transactions on Industrial Electronics, 57: 2527-2535. doi: 10.1109/TIE.2009.2035462
12. Heemels, WPMH, Teel, AR, van de Wouw, N, and, Nešić, D. 2010. Networked Control Systems with Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance. IEEE Transactions on Automatic Control, 55: 1781-1796. doi: 10.1109/TAC.2010.2042352
13. Hespanha, JP, Naghshtabrizi, P, and, Xu, Y. 2007. A Survey of Recent Results in Networked Control Systems. Proceedings of the IEEE, 95: 138-162. doi: 10.1109/JPROC.2006.887288
14. Jiang, ZP, and, Wang, Y. 2001. Input-to-state Stability for Discrete-time Nonlinear Systems. Automatica, 37: 857-869. doi: 10.1016/S0005-1098(01)00028-0
15. Lam, J, Gao, H, and, Wang, C. 2007. Stability Analysis for Continuous Systems with Two Additive Time-varying Delay Components. Systems & Control Letters, 56: 16-24. doi: 10.1016/j.sysconle.2006.07.005
16. Li, H, and, Shi, Y. 2011. Network-based Predictive Control for Constrained Nonlinear Systems with Two-channel Packet Dropouts. submitted to Automatica
17. ∞ Filtering for Nonlinear Stochastic Systems with Uncertainties and Markov Delays. Automatica, 48: 159-166. doi: 10.1016/j.automatica.2011.09.045
18. Limon, D, Alamo, T, Salas, F, and, Camacho, EF. 2006. Input to State Stability of Min-max MPC Controllers for Nonlinear Systems with Bounded Uncertainties. Automatica, 42: 797-803. doi: 10.1016/j.automatica.2006.01.001
19. Liu, G-P, Xia, Y, Chen, J, Rees, D, and, Hu, W. 2007. Networked Predictive Control of Systems with Random Network Delays in Both Forward and Feedback Channels. IEEE Transactions on Industrial Electronics, 54: 1282-1297. doi: 10.1109/TIE.2007.893073
20. Magni, L, De Nicolao, G, Scattolini, R, and, Allgöwer, F. 2003. Robust Model Predictive Control for Nonlinear Discrete-time Systems. International Journal of Robust and Nonlinear Control, 13: 229-246. doi: 10.1002/rnc.815
21. Magni, L, Raimondo, DM, and, Scattolini, R. 2006. Regional Input-to-state Stability for Nonlinear Model Predictive Control. IEEE Transactions on Automatic Control, 51: 1548-1553. doi: 10.1109/TAC.2006.880808
22. Mayne, DQ, Rawlings, JB, Rao, CV, and, Scokaert, PO. 2000. Constrained Model Predictive Control: Stability and Optimality. Automatica, 36: 789-814. doi: 10.1016/S0005-1098(99)00214-9
23. Michalska, H, and, Mayne, DQ. 1993. Robust Receding Horizon Control of Constrained Nonlinear Systems. IEEE Transactions on Automatic Control, 38: 1623-1633. doi: 10.1109/9.262032
24. Muñoz de la Peña, D, and, Christofides, PD. 2008. Lyapunov-based Model Predictive Control of Nonlinear Systems Subject to Data Losses. IEEE Transactions on Automatic Control, 53: 2076-2089. doi: 10.1109/TAC.2008.929401
25. Nešić, D, and, Liberzon, D. 2009. A Unified Framework for Design and Analysis of Networked and Quantized Control Systems. IEEE Transactions on Automatic Control, 54: 732-747. doi: 10.1109/TAC.2009.2014930
26. Nešić, D, and, Teel, AR. 2004. Input-to-state Stability of Networked Control Systems. Automatica, 40: 2121-2128.
27. Ong, CJ, Sui, D, and, Gilbert, EG. 2006. Enlarging the Terminal Region of Nonlinear Model Predictive Control using the Support Vector Machine Method. Automatica, 42: 1011-1016. doi: 10.1016/j.automatica.2006.02.023
28. Pin, G, and, Parisini, T. 2011. Networked Predictive Control of Uncertain Constrained Nonlinear Systems: Recursive Feasibility and Input-to-state Stability Analysis. IEEE Transactions on Automatic Control, 56: 72-87. doi: 10.1109/TAC.2010.2051091
29. Polushin, IG, Liu, PX, and, Lung, C-H. 2008. On the Model-based Approach to Nonlinear Networked Control Systems. Automatica, 44: 2409-2414. doi: 10.1016/j.automatica.2008.01.031
30. Quevedo, DE, and, Nešić, D. 2011. Input-to-state Stability of Packetized Predictive Control Over Unreliable Networks Affected by Packet-dropouts. IEEE Transactions on Automatic Control, 56: 370-375. doi: 10.1109/TAC.2010.2095950
31. Raimondo, DM. (2008), Nonlinear Model Predictive Control: Stability, Robustness and Applications, Ph.D. thesis, Università degli studi di Pavia, Italy
32. Scokaert, POM, and, Mayne, DQ. 1998. Min-max Feedback Model Predictive Control for Constrained Linear Systems. IEEE Transactions on Automatic Control, 43: 1136-1142. doi: 10.1109/9.704989
33. ∞ Filtering for Nonlinear Discrete-time Stochastic Systems with Randomly Varying Sensor Delays. Automatica, 45: 1032-1037. doi: 10.1016/j.automatica.2008.11.009
34. Shi, Y, and, Yu, B. 2009. Output Feedback Stabilisation of Networked Control Systems with Random Delays Modelled by Markov Chains. IEEE Transactions on Automatic Control, 54: 1668-1674. doi: 10.1109/TAC.2009.2020638
35. ∞ Control of Networked Control Systems with Random Time Delays in Both Forward and Backward Communication Links. Automatica, 47: 754-760. doi: 10.1016/j.automatica.2011.01.022
36. Sontag, ED, and, Wang, Y. 1996. New Characterisations of Input-to-state Stability. IEEE Transactions on Automatic Control, 41: 1283-1294. doi: 10.1109/9.536498
37. Tang, PL, and, de Silva, CW. 2006. Compensation for Transmission Delays in an Ethernetbased Control Network using Variable-horizon Predictive Control. IEEE Transactions on Control Systems Technology, 14: 707-718. doi: 10.1109/TCST.2006.876640
38. Walsh, GC, Beldiman, O, and, Bushnell, LG. 2001. Asymptotic Behaviour of Nonlinear Networked Control Systems. IEEE Transactions on Automatic Control, 46: 1093-1097. doi: 10.1109/9.935062
39. Walsh, GC, Hong, Y, and, Bushnell, LG. 2002. Stability Analysis of Networked Control Systems. IEEE Transactions on Control Systems Technology, 10: 438-446. doi: 10.1109/87.998034
40. ∞ Control for a Class of Nonlinear Discrete Time-delay Stochastic Systems with Missing Measurements. Automatica, 45: 684-691. doi: 10.1016/j.automatica.2008. 10.025
41. Yu, B, Shi, Y, and, Huang, J. 2011. Modified Generalised Predictive Control of Networked Systems with Application to a Hydraulic Position Control System. Journal of Dynamic Systems, Measurement, and Control, 133: 031001-031009. doi: 10.1115/1.4003385
42. Zhang, W, Branicky, MS, and, Phillips, SM. 2001. Stability of Networked Control Systems. IEEE Control Systems Magazine, 21: 84-99. doi: 10.1109/37.898794
43. Zhang, H, Shi, Y, and, Mehr, AS. 2011. Robust Static Output Feedback Control and Remote PID Design for Networked Motor Systems. IEEE Transactions on Industrial Electronics, 58: 5396-5405. doi: 10.1109/TIE.2011.2107720