A decentralized event-triggered dissipative control scheme for systems with multiple sensors to sample the system outputs

IEEE Transactions on Cybernetics

Volumn 46, Issue 12, 2015, Pages 2745-2757

  Zhang, Xian Ming ^a   Han, Qing Long ^a  

^a GRIFFITH UNIVERSITY   (Australia)

Author keywords

Communication networks; Decentralized dissipative control; Event triggered control (ETC) schemes

Indexed keywords

LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; PHYSICAL PROPERTIES; SENSOR NODES; TELECOMMUNICATION NETWORKS;

ASYMPTOTICALLY STABLE; CLOSED-LOOP PERFORMANCE; COMMUNICATION RESOURCES; DECENTRALIZED EVENT-TRIGGERING; DISSIPATIVE CONTROL; EVENT-TRIGGERED CONTROLS; INTERVAL TIME-VARYING DELAYS; MULTIPLE SENSORS;

CLOSED LOOP SYSTEMS;

EID: 84945417946     PISSN: 21682267     EISSN: 21682275     Source Type: Journal    
DOI: 10.1109/TCYB.2015.2487420     Document Type: Article

References (48)

1. E. Hendricks, M. Jensen, A. Chevalier, and T. Vesterholm, "Problems in event based engine control," in Proc. Amer. Control Conf., vol. 2. Baltimore, MD, USA, 1994, pp. 1585-1587.
2. K. J. Åström and B. M. Bernhardsson, "Comparison of periodic and event based sampling for firstorder stochastic systems," in Proc. IFAC World Congr., Beijing, China, 1999, pp. 301-306.
3. K.-E. Arzén, "A simple event-based PID controller," in Proc. IFAC World Congr., vol. 18. Beijing, China, 1999, pp. 423-428.
4. X. Ge, F. Yang, and Q.-L. Han, "Distributed networked control systems: A brief overview," Inf. Sci., Doi: 10.1016/j.ins.2015.07.047.
5. M. Velasco, J. M. Fuertes, and P. Marti, "The self triggered task model for real-time control systems," in Proc. Real-Time Syst. Symp. (RTSS), Cancún, Mexico, 2003, pp. 67-70.
6. ∞ controllers," in Hybrid Systems: Computation and Control. Berlin, Germany: Springer, 2007 pp. 371-384.
7. 2 stability," IEEE Trans. Autom. Control, vol. 54, no. 3, pp. 452-467, Mar. 2009.
8. C. Fiter, L. Hetel, W. Perruquetti, and J.-P. Richard, "A state dependent sampling for linear state feedback," Automatica, vol. 48, no. 8, pp. 1860-1867, 2012.
9. A. Anta and P. Tabuada, "To sample or not to sample: Self-triggered control for nonlinear systems," IEEE Trans. Autom. Control, vol. 55, no. 9, pp. 2030-2042, Sep. 2010.
10. W. P. M. H. Heemels, M. C. F. Donkers, and A. R. Teel, "Periodic event-triggered control for linear systems," IEEE Trans. Autom. Control, vol. 58, no. 4, pp. 847-861, Apr. 2013.
11. D. Yue, E. Tian, and Q.-L. Han, "A delay system method for designing event-triggered controllers of networked control systems," IEEE Trans. Autom. Control, vol. 58, no. 2, pp. 475-481, Feb. 2013.
12. 2 control co-design for sampled-data control systems," IEEE Trans. Autom. Control, vol. 58, no. 10, pp. 2620-2626, Oct. 2013.
13. L. Zou, Z. Wang, H. Gao, and X. Liu, "Event-triggered state estimation for complex networks with mixed time delays via sampled data information: The continuous-time case," IEEE Trans. Cybern., Doi: 10.1109/TCYB.2014.2386781.
14. C. Peng, Q.-L. Han, and D. Yue, "To transmit or not to transmit: A discrete event-triggered communication scheme for networked Takagi-Sugeno fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 21, no. 1, pp. 164-170, Feb. 2013.
15. D. Zhang, Q.-L. Han, and X. Jia, "Network-based output tracking control for T-S fuzzy systems using an event-triggered communication scheme," Fuzzy Sets Syst., vol. 273, pp. 26-48, Aug. 2015.
16. G. Guo, L. Ding, and Q.-L. Han, "A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems," Automatica, vol. 50, no. 5, pp. 1489-1496, 2014.
17. X.-M. Zhang and Q.-L. Han, "Event-triggered dynamic output feedback control for networked control systems," IET Control Theory Appl., vol. 8, no. 4, pp. 226-234, Mar. 2014.
18. ∞ filtering for sampleddata systems," Automatica, vol. 51, pp. 55-69, Jan. 2015.
19. ∞ filtering over sensor networks with communication delays," Inf. Sci., vol. 291, pp. 128-142, Jan. 2015.
20. J. Almeida, C. Silvestre, and A. M. Pascoal, "Self-triggered output feedback control of linear plants," in Proc. Amer. Control Conf., San Francisco, CA, USA, 2011, pp. 2831-2836.
21. H.-B. Zeng, Y. He, M. Wu, and H.-Q. Xiao, "Improved conditions for passivity of neural networks with a time-varying delay," IEEE Trans. Cybern., vol. 44, no. 6, pp. 785-792, Jun. 2014.
22. X. Su, P. Shi, L. Wu, and M. V. Basin, "Reliable filtering with strict dissipativity for T-S fuzzy time-delay systems," IEEE Trans. Cybern., vol. 44, no. 12, pp. 2470-2483, Dec. 2014.
23. B. Anderson and S. Vongpanitlerd, Network Analysis and Synthesis: A Modern Systems Theory Approach. Englewood Cliffs, NJ, USA: Prentice-Hall, 1973.
24. R. Lozano, B. Brogliato, O. Egeland, and B. Maschke, Dissipative Systems Analysis and Control: Theory and Applications. London, U.K.: Springer, 2000.
25. M. Meisami-Azad, J. Mohammadpour, and K. M. Grigoriadis, "Dissipative analysis and control of state-space symmetric systems," Automatica, vol. 45, no. 6, pp. 1574-1579, Jun. 2009.
26. 2 stability of networked dissipative systems," in Proc. IEEE Int. Conf. Control Autom., Xiamen, China, Jun. 2010, pp. 584-589.
27. H. Yu and P. J. Antsaklis, "Event-triggered real-time scheduling for stabilization of passive and output feedback passive systems," in Proc. Amer Control Conf., San Francisco, CA, USA, Jun. 2011, pp. 1674-1679.
28. H. Yu and P. J. Antsaklis, "Event-triggered output feedback control for networked control systems using passivity: Achieving stability in the presence of communication delays and signal quantization," Automatica, vol. 49, no. 1, pp. 30-38, 2013.
29. J. Wang, Q.-L. Han, and F. Yang, "Event-triggered dissipative control of networked interconnected stochastic systems," in Proc. IEEE Int. Symp. Ind. Electron. (ISIE), Taipei, Taiwan, May 2013, pp. 1-6.
30. R. Biernacki, H. Hwang, and S. P. Bhattacharyya, "Robust stability with structured real parameter perturbations," IEEE Trans. Autom. Control, vol. 32, no. 6, pp. 495-506, Jun. 1987.
31. P. Gahinet, A. Nemirovskii, A. J. Laub, and M. Chilali, "LMI control toolbox-For use with MATLAB," Natick, MA, USA: The MathWorks Inc., 1995.
32. M. Mazo and P. Tabuada, "Decentralized event-triggered control over wireless sensor/actuator networks," IEEE Trans. Autom. Control, vol. 56, no. 10, pp. 2456-2461, Oct. 2011.
33. M. Mazo and M. Cao, "Decentralized event-triggered control with asynchronous updates," in Proc. IEEE Conf. Decis. Control, Orlando, FL, USA, Dec. 2011, pp. 2547-2552.
34. X. Wang and M. D. Lemmon, "Decentralized event-triggered broadcasts over networked control systems," in Hybrid Systems: Computation and Control. New York, NY, USA: Springer, 2008.
35. D. Liu and F. Hao, "Decentralized event-triggered control strategy in distributed networked systems with delays," Int. J. Control Autom. Syst., vol. 11, no. 1, pp. 33-40, 2013.
36. R. Yang, G.-P. Liu, P. Shi, C. Thomas, and M. V. Basin, "Predictive output feedback control for networked control systems," IEEE Trans. Ind. Electron., vol. 61, no. 1, pp. 512-520, Jan. 2014.
37. Y.-L. Wang and Q.-L. Han, "Quantitative analysis and synthesis for networked control systems with non-uniformly distributed packet dropouts and interval time-varying sampling periods," Int. J. Robust Nonlin. Control, vol. 25, no. 2, pp. 282-300, Jan. 2015.
38. Y. S. Moon, P. G. Park, W. H. Kwon, and Y. S. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems," Int. J. Control, vol. 74, no. 14, pp. 1447-1455, 2001.
39. D. Hill and P. Moylan, "The stability of nonlinear dissipative systems," IEEE Trans. Autom. Control, vol. 21, no. 5, pp. 708-711, Oct. 1976.
40. ∞ control for linear systems with two-channel random packet dropouts and time delays," IEEE Trans. Cybern., vol. 45, no. 8, pp. 1450-1462, Aug. 2015.
41. ∞ and passivity-based control for fuzzy Markovian switching systems with probabilistic time delays and actuator failures," IEEE Trans. Cybern., Doi: 10.1109/TCYB.2014.2382563.
42. K. Liu, V. Suplin, and E. Fridman, "Stability of linear systems with general sawtooth delay," IMA J. Math. Control Inf., vol. 27, no. 4, pp. 419-436, 2010.
43. P. Park, J. W. Ko, and J. W. Jeong, "Reciprocally convex approach to stability of systems with time-varying delays," Automatica, vol. 47, no. 1, pp. 235-238, Jan. 2011.
44. M. Krstic and H. Deng, Stabilization of Nonlinear Uncertain Systems. London, U.K.: Springer, 1998.
45. P. Naghshtabrizi, J. P. Hespanha, and A. R. Teel, "Exponential stability of impulsive systems with application to uncertain sampled-data systems," Syst. Control Lett., vol. 57, no. 5, pp. 378-385, 2008.
46. L. El Ghaoui, F. Oustry, and M. Ait Rami, "A cone complementarity linearization algorithm for static output feedback and related problems," IEEE Trans. Autom. Control, vol. 42, no. 8, pp. 1171-1176, Aug. 1997.
47. M. Abdelrahim, R. Postoyan, J. Daafouz, and D. Nesic, "Co-design of output feedback laws and event-triggering conditions for linear systems," in Proc. 53rd IEEE Annu. Conf. Decis. Control, Los Angeles, CA, USA, Dec. 2014, pp. 3560-3565.
48. X. Meng and T. Chen, "Event detection and control co-design of sampled-data systems," Int. J. Control, vol. 87, no. 4, pp. 777-786, 2014.