Lyapunov-based model predictive control of nonlinear systems subject to data losses

IEEE Transactions on Automatic Control

Volumn 53, Issue 9, 2008, Pages 2076-2089

  Muñoz de la Peña, David ^a,b   Christofides, Panagiotis D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Fault tolerant control systems; Networked control systems (NCS); Predictive control for nonlinear systems; Process control applications

Indexed keywords

CHEMICAL ENGINEERING; CHEMICAL REACTIONS; CONTROL SYSTEM ANALYSIS; CONTROL THEORY; MODEL PREDICTIVE CONTROL; NONLINEAR SYSTEMS; OPTIMIZATION; PREDICTIVE CONTROL SYSTEMS; PROCESS CONTROL; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS; WIRELESS NETWORKS;

ASYNCHRONOUS MEASUREMENTS; CHEMICAL PROCESSES; CONTROLLER IMPLEMENTATIONS; DATA LOSSES; EQUILIBRIUM POINTS; EXPLICIT CHARACTERIZATIONS; FAULT-TOLERANT CONTROL SYSTEMS; INVARIANT SETS; LOOP SYSTEMS; LYAPUNOV; MODEL PREDICTIVE CONTROLLERS; NETWORKED CONTROL SYSTEMS (NCS); OPTIMIZATION PROBLEMS; PERFORMANCE INDICES; PREDICTIVE CONTROL FOR NONLINEAR SYSTEMS; PREDICTIVE CONTROLS; PROCESS CONTROL APPLICATIONS; STABILITY REGIONS; WIRELESS NETWORKED CONTROL SYSTEMS;

CONTROL SYSTEMS;

EID: 52449103109     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.929401     Document Type: Article

References (51)

1. W. Zhang, M. S. Branicky, and S. M. Phillips, "Stability of networked control systems," IEEE Control Syst. Mag., vol. 21, pp. 84-89, 2001.
2. T. C. Yang, "Networked control systems: A brief survey," Proc. Inst. Elect. Eng., vol. 153, pp. 403-412, 2006.
3. P. Neumann, "Communication in industrial automation - what is going on?," Control Eng. Practice, vol. 15, pp. 1332-1347, 2007.
4. G. T. Nguyen, R. H. Katz, B. Noble, and M. Satyanarayananm, "A tracebased approach for modeling wireless channel behavior," in Proc. Winter Simul. Conf., 1996, pp. 597-604.
5. N. J. Ploplys, P. A. Kawka, and A. G. Alleyne, "Closed-loop control over wireless networks - Developing a novel timing scheme for real-time control systems," IEEE Control Syst. Mag., vol. 24, pp. 52-71, 2004.
6. P. A. Kawka and A. G. Alleyne, "Stability and feedback control of wireless networked systems," in Proc. Amer. Control Conf., 2005, pp. 2955-2959.
7. M. Tabbara, D. Nesic, and A. R. Teel, "Stability of wireless and wireline control systems," IEEE Trans. Automat. Control, vol. 52, no. 9, pp. 1615-1630, Sep. 2007.
8. I. F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci, "Wireless sensor networks: A survey," Comput. Networks - Int. J. Comput. Telecommun. Networking, vol. 38, pp. 393-422, 2002.
9. C. Y. Chong and S. P. Kumar, "Sensor networks: Evolution, opportunities, and challenges," Proc. IEEE, vol. 91, no. 8, pp. 1247-1256, Aug. 2003.
10. W. Caripe, G. Cybenko, K. Moizumi, and R. Gray, "Network awareness and mobile agent systems," IEEE Commun. Mag., vol. 36, no. 7, pp. 44-49, Jul. 1998.
11. P. Wilke and T. Braunl, "Flexible wireless communication network for mobile robot agents," Ind. Robot - Int. J., vol. 28, pp. 220-232, 2001.
12. P. Mhaskar, A. Gani, C. McFall, P. D. Christofides, and J. F. Davis, "Fault-tolerant control of nonlinear process systems subject to sensor data losses," AIChE J., vol. 53, pp. 654-668, 2007.
13. W. Zhang and M. S. Branicky, "Stability of networked control systems with time-varying transmission period," in Proc. Allerton Conf., 2001, [CD ROM].
14. A. Hassibi, S. P. Boyd, and J. P. How, "Control of asynchronous dynamical systems with rate constraints on events," in Proc. IEEE Conf. Decision Control, 1999, pp. 1345-1351.
15. H. Lin and P. J. Antsaklis, "Stability and persistent disturbance attenuation properties for a class of networked control systems: Switched system approach," Int. J. Control, vol. 78, pp. 1447-1458, 2005.
16. O. C. Imer, S. Yüksel, and T. Başar, "Optimal control of LTI systems over unreliable communications links," Automatica, vol. 42, pp. 1429-1439, 2006.
17. C. N. Hadjicostis and R. Touri, "Feedback control utilizing packet dropping networks links," in Proc. IEEE Conf. Decision Control, Las Vegas, NV, 2001, pp. 1205-1210.
18. B. Azimi-Sadjadi, "Stability of networked control systems in the presence of packet losses," in Proc. IEEE Conf. Decision Control, Maui, HI, 2003, pp. 676-681.
19. N. Elia and J. N. Eisenbeis, "Limitations of linear remote control over packet drop networks," in Proc. IEEE Conf. Decision Control, Nassau, Bahamas, 2004, pp. 5152-5157.
20. G. Walsh, O. Beldiman, and L. Bushnell, "Asymptotic behavior of nonlinear networked control systems," IEEE Trans. Automat. Control vol. 46, no. 7, pp. 1093-1097, Jul. 2001.
21. G. Walsh, H. Ye, and L. Bushnell, "Stability analysis of networked control systems," IEEE Trans. Control Syst. Technol., vol. 10, no. 5, pp. 438-446, Sep. 2002.
22. D. Nešić and A. R. Teel, "Input-to-state stability of networked control systems," Automatica, vol. 40, pp. 2121-2128, 2004.
23. D. Nešić and A. R. Teel, "Input-output stability properties of networked control systems," IEEE Trans. Automat. Control, vol. 49, no. 10, pp. 1650-1667, Oct. 2004.
24. L. A. Montestruque and P. J. Antsaklis, "On the model-based control of networked systems," Automatica, vol. 39, pp. 1837-1843, 2003.
25. L. A. Montestruque and P. J. Antsaklis, "Stability of model-based networked control systems with time-varying transmission times," IEEE Trans. Automat. Control, vol. 49, no. 9, pp. 1562-1572, Sep. 2004.
26. P. Naghshtabrizi and J. Hespanha, "Designing observer-type controllers for network control systems," in Proc. IEEE Conf. Decision Control 2005, pp. 848-853.
27. P. Naghshtabrizi and J. Hespanha, "Anticipative and non-anticipative controller design for network control systems, network embedded sensing and control," Netw. Embedded Sens. Control Lecture Notes Control Inform. Sci., vol. 331, pp. 203-218, 2006.
28. W. J. Kim, K. Ji, and A. Ambike, "Networked real-time control strategy dealing with stochastic time delays and packet losses," ASME J. Dynam. Syst., Meas. Control, vol. 128, pp. 681-685, 2006.
29. W. J. Kim, K. Ji, and A. Srivastava, "Network-based control with real-time prediction of delayed/lost sensor data," IEEE Trans. Control Syst. Technol., vol. 14, no. 1, pp. 182-185, Jan. 2006.
30. E. F. Camacho and C. Bordons, Model Predictive Control, 2nd ed. Berlin, Germany: Springer-Verlag, 2004.
31. J. M. Maciejowski, Predictive Control with Constraints. Englewood Cliffs, NJ: Prentice Hall, 2002.
32. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, pp. 789-814, 2000.
33. P. Mhaskar, N. H. El-Farra, and P. D. Christofides, "Predictive control of switched nonlinear systems with scheduled mode transitions," IEEE Trans. Automatic Control, vol. 50, no. 11, pp. 1670-1680, Nov. 2005.
34. P. Mhaskar, N. H. El-Farra, and P. D. Christofides, "Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control," Syst. Control Lett., vol. 55, pp. 650-659, 2006.
35. P. Mhaskar, A. Gani, and P. D. Christofides, "Fault-tolerant control of nonlinear processes: Performance-based reconfiguration and robustness," Int. J. Robust Nonlin. Control, vol. 16, pp. 91-111, 2006.
36. J. A. Primbs, V. Nevistic, and J. C. Doyle, "A receding horizon generalization of pointwise min-norm controllers," IEEE Trans. Automat. Control, vol. 45, no. 5, pp. 898-909, May 2000.
37. S. L. D. Kothare and M. Morari, "Contractive model predictive control for constrained nonlinear systems," IEEE Trans. Automat. Control, vol. 45, no. 6, pp. 1053-1071, Jun. 2000.
38. H. S. Witsenhausen, "A min-max control problem for sampled linear systems," IEEE Trans. Automat. Control, vol. AC-13, no. 1, pp. 5-21, Jan. 1968.
39. P. J. Campo and M. Morari, "Robust model predictive control," in Proc. Amer. Control Conf., 1987, vol. 2, pp. 1021-1026.
40. P. O. M. Scokaert and D. Q. Mayne, "Min-max feedback model predictive control for constrained linear systems," IEEE Trans. Automat. Control, vol. 43, no. 8, pp. 1136-1142, Aug. 1998.
41. T. Alamo, D. Muñoz de la Peñia, D. Limon, and E. F. Camacho, "Constrained minmax predictive control: Modifications of the objective function leading to polynomial complexity," IEEE Trans. Automat. Control, vol. 50, no. 5, pp. 710-714, May 2005.
42. D. Muñoz de la Peña, T. Alamo, A. Bemporad, and E. F. Camacho, "A decomposition algorithm for feedback min-max model predictive control," IEEE Trans. Automat. Control, vol. 51, no. 10, pp. 1688-1692, Oct. 2006.
43. J. L. Massera, "Contributions to stability theory," Annals Math. vol. 64, pp. 182-206, 1956.
44. H. K. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, 2002.
45. P. Kokotovic and M. Arcak, "Constructive nonlinear control: A historical perspective," Automatica, vol. 37, pp. 637-662, 2001.
46. P. D. Christofides and N. H. El-Farra, Control of Nonlinear and Hybrid Process Systems: Designs for Uncertainty, Constraints and Time-Delays. Berlin, Germany: Springer-Verlag, 2005.
47. E. Sontag, "A 'universal' construction of arstein's theorem on nonlinear stabilization," Syst. Control Lett., vol. 13, pp. 117-123, 1989.
48. F. Clarke, Y. Ledyaev, and E. Sontag, "Asymtotic controllability implies feedback stabilization," IEEE Trans. Automat. Control, vol. 42, no. 10, pp. 1394-1407, Oct. 1997.
49. D. Nešić, A. Teel, and P. Kokotovic, "Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete time approximations," Syst. Control Lett., vol. 38, pp. 259-270, 1999.
50. D. Liberzon, "On stabilization of linear systems with limited information," IEEE Trans. Automat. Control, vol. 48, no. 2, pp. 304-307, Feb. 2003.
51. P. Tabuada and X. Wang, "Preliminary results on state-trigered scheduling of stabilizing control tasks," in Proc. IEEE Conf. Decision Control, 2006, pp. 282-287.