Event-Based Control and Scheduling Codesign: Stochastic and Robust Approaches

IEEE Transactions on Automatic Control

Volumn 60, Issue 5, 2015, Pages 1291-1303

  Al Areqi, Sanad ^a   Görges, Daniel ^a   Liu, Steven ^a  

^a University of Koblenz Landau   (Germany)

Author keywords

Control and scheduling codesign; Embedded control systems; event based control; Markov process; Networked control systems; polytopic uncertainty; stationary process

Indexed keywords

CONTINUOUS TIME SYSTEMS; CONTROL SYSTEMS; COST FUNCTIONS; EMBEDDED SYSTEMS; MARKOV PROCESSES; NETWORKED CONTROL SYSTEMS; OPTIMIZATION; RANDOM PROCESSES; SCHEDULING; STOCHASTIC SYSTEMS;

CO-DESIGNS; EMBEDDED CONTROL SYSTEMS; EVENT-BASED CONTROL; POLYTOPIC UNCERTAINTIES; STATIONARY PROCESS;

PROCESS CONTROL;

EID: 84928539720     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2014.2370731     Document Type: Article

References (52)

1. T. C. Yang, "Networked control system: A brief survey," Proc. Inst. Elect. Eng., vol. 153, no. 4, pp. 403-412, 2006.
2. J. P. Hespanha, P. Naghshtabrizi, and Y. Xu, "A survey of recent results in networked control systems," Proc. IEEE, vol. 95, no. 1, pp. 138-162, 2007.
3. R. A. Gupta and M.-Y. Chow, "Networked control system: Overview and research trends," IEEE Trans. Ind. Electron., vol. 57, no. 7, pp. 2527-2535, 2010.
4. J. Liu, A. Gusrialdi, D. Obradovic, and S. Hirche, "Study on the effect of time delay on the performance of distributed power grids with networked cooperative control," in Proc. 1st IFAC Workshop Estim. Control Netw. Syst., 2009, pp. 168-173.
5. H. A. Thompson, "Wireless and Internet communications technologies for monitoring and control," Control Eng. Practice, vol. 12, no. 6, pp. 781-791, 2004.
6. D. Lehmann and J. Lunze, "Extension and experimental evaluation of an event-based state-feedback approach," Control Eng. Practice, vol. 19, pp. 101-112, 2011.
7. I. F. Akyildiz and I. H. Kasimoglu, "Wireless sensor and actor networks: Research challenges," Ad Hoc Netw., vol. 2, no. 4, pp. 351-367, 2004.
8. K. H. Johansson, M. Törngren, and L. Nielsen, "Vehicle applications of controller area network," in Handbook of Networked and Embedded Control Systems, D. Hristu-Varsakelis and W. S. Levine, Eds. Boston, MA, USA: Birkhäuser, 2005, ch. 6, pp. 741-765.
9. L. Hetel, J. Daafouz, and C. Iung, "Stabilization of arbitrary switched linear systems with unknown time-varying delays," IEEE Trans. Autom. Control, vol. 51, no. 10, pp. 1668-1674, 2006.
10. M. B. G. Cloosterman, N. Van de Wouw, W. P. M. H. Heemels, and H. Nijmeijer, "Stability of networked control systems with uncertain time-varying delays," IEEE Trans. Autom. Control, vol. 54, no. 7, pp. 1575-1580, 2009.
11. R. Gielen, S. Olaru, M. Lazar, W. Heemels, N. van de Wouw, and S.-I. Niculescu, "On polytopic inclusions as a modeling framework for systems with time-varying delays," Automatica, vol. 46, no. 3, pp. 615-619, 2010.
12. M. C. F. Donkers, W. P. M. H. Heemels, N. van de Wouw, and L. Hetel, "Stability analysis of networked control systems using a switched linear systems approach," IEEE Trans. Autom. Control, vol. 56, no. 9, pp. 2101-2115, 2011.
13. J. Nilsson, B. Bernhardsson, and B. Wittenmark, "Stochastic analysis and control of real-time systems with random time delays," Automatica, vol. 34, no. 1, pp. 57-64, 1998.
14. M. C. F. Donkers, W. P. M. H. Heemels, D. Bernardini, A. Bemporad, and V. Shneer, "Stability analysis of stochastic networked control systems,"Automatica, vol. 48, pp. 917-925, 2012.
15. L. Zhang, Y. Shi, T. Chen, and B. Huang, "A new method for stabilization of networked control systems with random delays," IEEE Trans. Autom. Control, vol. 50, no. 8, pp. 1177-1181, 2005.
16. H. G. X. Meng and T. Chen, "Stabilization of networked control systems with a new delay characterization," IEEE Trans. Autom. Control, vol. 53, no. 9, pp. 2142-2148, 2008.
17. Y. Shi and B. Yu, "Output feedback stabilization of networked control systems with random delays modeled by Markov chains," IEEE Trans. Autom. Control, vol. 54, no. 7, pp. 1668-1674, 2009.
18. P. Park, P. Di Marco, C. Fischione, and K. H. Johansson, "Delay distribution analysis of wireless personal area networks," in Proc. 51st IEEE Conf. Decision Control, 2012, pp. 5864-5869.
19. H. Rehbinder and M. Sanfridson, "Scheduling of a limited communication channel for optimal control," Automatica, vol. 40, no. 3, pp. 491-500, 2004.
20. G. C. Goodwin, H. Haimovich, D. E. Quevedo, and J. S. Welsh, "A moving horizon approach to networked control system design," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1427-1445, 2004.
21. A. Cervin and P. Alriksson, "Optimal on-line scheduling of multiple control tasks: A case study," in Proc. 18th Euromicro Conf. Real-Time Syst., 2006, pp. 141-150.
22. D. Görges, M. Izák, and S. Liu, "Optimal control and scheduling of networked control systems," in Proc. 48th IEEE Conf. Decision Control, 2009, pp. 5839-5844.
23. L. Zhang and D. Hristu-Varsakelis, "Communication and control codesign for networked control systems," Automatica, vol. 42, no. 6, pp. 953-958, 2006.
24. M. Ben Gaid, A. Çela, and Y. Hamam, "Optimal integrated control and scheduling of networked control systems with communication constraints: Application to a car suspension system," IEEE Trans. Control Syst. Technol., vol. 14, no. 4, pp. 776-787, 2006.
25. S.-L. Dai, H. Lin, and S. S. Ge, "Scheduling-and-control codesign for a collection of networked control systems with uncertain delays," IEEE Trans. Control Syst. Technol., vol. 18, no. 1, pp. 66-78, 2010.
26. A. Cervin and T. Henningsson, "Scheduling of event-triggered controllers on a shared network," in Proc. 47th IEEE Conf. Decision Control, 2008, pp. 3601-3606.
27. M. Rabi and K. H. Johansson, "Scheduling packets for event-triggered control," in Proc. Eur. Control Conf., 2009, pp. 3779-3784.
28. X. Wang and M. D. Lemmon, "Event-triggering in distributed networked control systems," IEEE Trans. Autom. Control, vol. 56, no. 3, pp. 586-601, 2011.
29. A. Molin and S. Hirche, "Optimal design of decentralized event-triggered controllers for large-scale systems with contention-based communication,"in Proc. 50th IEEE Conf. Decision Control & Eur. Control Conf., 2011, pp. 4710-4716.
30. S. Al-Areqi, D. Görges, S. Reimann, and S. Liu, "Event-based control and scheduling codesign of networked embedded control systems," in Proc. Amer. Control Conf., 2013, pp. 5299-5304.
31. R. Blind and F. Allgöwer, "Analysis of networked event-based control with a shared communication medium: Part II - Slotted ALOHA," in Proc. 18th IFAC World Congress, 2011.
32. R. Blind and F. Allgöwer, "Analysis of networked event-based control with a shared communication medium: Part I - Pure ALOHA," in Proc. 18th IFAC World Congress, 2011, pp. 10092-10097.
33. D. Hristu-Varsakelis and W. S. Levine, Eds., Handbook of Networked and Embedded Control Systems. Boston, MA, USA: Birkhäuser, 2005.
34. S. Zampieri, "Trends in networked control systems," in Proc. 17th IFAC World Congress, 2008, pp. 2886-2894.
35. A. Bemporad, M. Heemels, and M. Johansson, Networked Control Systems. Berlin, Germany: Springer-Verlag, 2010.
36. J. Lunze, Ed., Control Theory of Digitally Networked Dynamic Systems. New York, NY, USA: Springer, 2014.
37. C. Ramesh, H. Sandberg, L. Bao, and K. H. Johansson, "On the dual effect in state-based scheduling of networked control systems," in Proc. Amer. Control Conf., 2011, pp. 2216-2221.
38. K. J. Åström and B. Wittenmark, Computer-Controlled Systems: Theory and Design, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 1997.
39. S. Al-Areqi, D. Görges, and S. Liu, "Robust control and scheduling code-sign for networked embedded control systems," in Proc. 50th IEEE Conf. Decision Control & Eur. Control Conf., 2011, pp. 3154-3159.
40. A. Y. Bhave and B. H. Krogh, "Performance bounds on state-feedback controllers with network delay," in Proc. 47th IEEE Conf. Decision Control, 2008, pp. 4608-4613.
41. J. Skaf and S. Boyd, "Analysis and synthesis of state-feedback controllers with timing jitter," IEEE Trans. Autom. Control, vol. 54, no. 3, pp. 652-657, 2009.
42. W. Heemels, N. van de Wouw, R. Gielen, M. Donkers, L. Hetel, S. Olaru, M. Lazar, J. Daafouz, and S. Niculescu, "Comparison of overapproximation methods for stability analysis of networked control systems," in Proc. 13th Int. Conf. Hybrid Syst.: Comput. Control, 2010, pp. 181-190.
43. G. C. Walsh, H. Ye, and L. G. Bushnell, "Stability analysis of networked control systems," IEEE Trans. Control Syst. Technol., vol. 10, no. 3, pp. 438-446, 2002.
44. M. V. Kothare, V. Balakrishnan, and M. Morari, "Robust constrained model predictive control using linear matrix inequalities," Automatica, vol. 32, no. 10, pp. 1361-1379, 1996.
45. V. Lakshmikantham, S. Leela, and A. A. Martynyuk, Practical Stability of Nonlinear Systems. Singapore: World Scientific, 1990.
46. D. Xie, L. Wang, F. Hao, and G. Xie, "Robust stability analysis and control synthesis for discrete-time uncertain switched systems," in Proc. 42nd IEEE Conf. Decision Control, 2003, pp. 4812-4817.
47. J. Daafouz, P. Riedinger, and C. Iung, "Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach,"IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1883-1887, 2002.
48. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, vol. 15. Philadelphia, PA, USA: SIAM, 1994, ser. SIAM Studies in Applied Mathematics.
49. J. Löfberg, "YALMIP: A toolbox for modeling and optimization in MATLAB," in Proc. IEEE Int. Symp. Computer Aided Control Syst. Design, 2004, pp. 284-289.
50. J. F. Sturm, "Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones," Optim. Methods Softw., vol. 11&12, no. 1-4, pp. 625-653, 1999.
51. T. Morozan, "Stabilization of some stochastic discrete-time control systems,"Stoch. Anal. Appl., vol. 1, no. 1, pp. 89-116, 1983.
52. A. Papoulis and S. U. Pillai, Probability, Random Variables, and Stochastic Processes, 4th ed. New York, NY, USA: McGraw-Hill, 2002.