L 2 -Gain analysis of event-triggered networked control systems: A discontinuous Lyapunov functional approach

International Journal of Robust and Nonlinear Control

Volumn 23, Issue 11, 2013, Pages 1277-1300

  Hu, Songlin ^a   Yue, Dong ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

event triggering; exponential stability; L 2 gain; Lyapunov Krasovskii functional; NCSs

Indexed keywords

EVENT-TRIGGERING; EVENT-TRIGGERING SCHEMES; L 2 -GAIN; LYAPUNOV-KRASOVSKII FUNCTIONALS; NCSS; NETWORK-INDUCED DELAYS; NETWORKED CONTROL SYSTEMS (NCSS); PARAMETER UNCERTAINTY;

ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS; NETWORKED CONTROL SYSTEMS;

CONTROL SYSTEM ANALYSIS;

EID: 84879157375     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.2815     Document Type: Article

References (45)

1. Camacho A, Marti P, Velasco M, Lozoya C, Villa R, Fuertes J, Griful E,. Self-triggered networked control systems: an experimental case study. Proceedings of the International Conference on Industrial Technology, Viña del Mar-Valparaiso, Chile, March 2010; 123-128.
2. Mazumder S, Tahir M, Acharya K,. Master-slave current-sharing control of a parallel DC-DC converter system over an RF communication interface. IEEE Transactions on Industrial Electronics 2008; 55 (1): 59-66.
3. Li H, Chow M, Sun Z,. EDA-based speed control of a networked DC motor system with time delays and packet losses. IEEE Transactions on Industrial Electronics 2009; 56 (5): 1727-1735.
4. Gao H, Meng X, Chen T,. Stabilization of networked control systems with a new delay characterization. IEEE Transactions on Automatic Control 2008; 53 (9): 2142-2148.
5. Nilsson J, Bernhardsson B, Wittenmark B,. Stochastic analysis and control of real-time systems with random time delays. Automatica 1998; 34 (1): 57-64.
6. Winstead V, Kolmanovsky I,. Observers for fault detection in networked systems with random delays. Proceedings of the 2004 American Control Conference, Boston, Massachusetts, 2004; 2457-2462.
7. Tian Y, Yu Z, Fidge C,. Multifractal nature of network induced time delay in networked control systems. Physics Letters A 2007; 361 (1-2): 103-107.
8. Schenato L,. Optimal estimation in networked control systems subject to random delay and packet drop. IEEE Transactions on Automatic Control 2008; 53 (5): 1311-1317.
9. Yue D, Tian E, Zhang Y, Peng C,. Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2009; 39 (2): 503-516.
10. Peng C, Yang T,. Communication-delay-distribution-dependent networked control for a class of T-S fuzzy systems. IEEE Transactions on Fuzzy Systems 2010; 18 (2): 326-335.
11. Yue D, Han Q, Peng C,. State feedback controller design of networked control systems. IEEE Transactions on Circuits and Systems II: Express Briefs 2004; 51 (11): 640-644.
12. ∞ control of systems with uncertainty. Automatica 2005; 41 (6): 999-1007.
13. ∞ control for networked systems with random packet losses. IEEE Transactions on Systems, Man, and Cybernetics, Part B: cybernetics 2007; 37 (4): 916-924.
14. Liu G, Xia Y, Rees D, Hu W,. Design and stability criteria of networked predictive control systems with random network delay in the feedback channel. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews 2007; 37 (2): 173-184.
15. Zhang H, Yang D, Chai T,. Guaranteed cost networked control for T-S fuzzy systems with time delays. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews 2007; 37 (2): 160-172.
16. Xiong J, Lam J,. Stabilization of networked control systems with a logic ZOH. IEEE Transactions on Automatic Control 2009; 54 (2): 358-363.
17. Seto D, Lehoczky J, Sha L, Shin K,. On task schedulability in real-time control systems. Proceedings of the 17th IEEE Real-Time Systems Symposium, Los Alamitos, CA, 1996; 13-21.
18. Rehbinder H, Sanfridson M,. Scheduling of a limited communication channel for optimal control. Automatica 2004; 40 (3): 491-500.
19. Gaid M, Cela A, Hamam Y,. Optimal integrated control and scheduling of networked control systems with communication constraints: application to a car suspension system. IEEE Transactions on Control Systems Technology 2006; 14 (4): 776-787.
20. Anta A, Tabuada P,. On the benefits of relaxing the periodicity assumption for networked control systems over CAN. Proceedings of the 30th IEEE Real-Time Systems Symposium, Washington, DC, 2009; 3-12.
21. Bamieh B,. Intersample and finite wordlength effects in sampled-data problems. IEEE Transactions on Automatic Control 2003; 48 (4): 639-643.
22. Al-Hammouri A, Branicky M, Liberatore V, Phillips S,. Decentralized and dynamic bandwidth allocation in networked control systems. Proceedings of the 20th International Conference on Parallel and Distributed Processing, Rhodes Island, Greece, 2006.
23. Tabuada P,. Event-triggered real-time scheduling of stabilizing control tasks. IEEE Transactions on Automatic Control 2007; 52 (9): 1680-1685.
24. Heemels W, Sandee J, Bosch P,. Analysis of event-driven controllers for linear systems. International Journal of Control 2008; 81 (4): 571-590.
25. Wang X, Lemmon M,. Event design in event-triggered feedback control systems. Proceedings of the 47th IEEE Conference on Decision and Control, Fiesta Americana Grand Coral Beach, Cancun, Mexico, December 2008; 2105-2110.
26. Lemmon M, Chantem T, Hu X, Zyskowski M,. On self-triggered full-information H-infinity controllers. Hybrid Systems: Computation and Control 2007: 371-384.
27. Anta A, Tabuada P,. Self-triggered stabilization of homogeneous control systems. Proceedings of the 2008 American Control Conference, Washington, USA, 2008; 4129-4134.
28. Wang X, Lemmon M,. Self-triggered feedback control systems with finite-gain L2 stability. IEEE Transactions on Automatic Control 2009; 45 (3): 452-467.
29. Mazo Jr M, Anta A, Tabuada P,. On self-triggered control for linear systems: guarantees and complexity. Proceedings of the 2009 European Control Conference, Budapest, Hungary, 2009.
30. Mazo Jr M, Anta A, Tabuada P,. An ISS self-triggered implementation of linear controllers. Automatica 2010; 46 (8): 1310-1314.
31. Velasco M, Martí P, Bini E,. Control-driven tasks: modeling and analysis. Proceedings of the 29th IEEE Real-Time Systems Symposium, Barcelona, Spain, 2008; 280-290.
32. Mazo M, Tabuada P,. On event-triggered and self-triggered control over sensor/actuator networks. Proceedings of the 47th IEEE Conference on Decision and Control, Fiesta Americana Grand Coral Beach, Cancun, Mexico, December 2008; 435-440.
33. Tabuada P, Wang X,. Preliminary results on state-trigered scheduling of stabilizing control tasks. Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, USA, December 2006; 282-287.
34. Wang X,. Event-triggering in cyber-physical systems. Ph.D. Thesis, University of Notre Dame, 2009.
35. Zhang W, Branicky M, Phillips S,. Stability of networked control systems. IEEE Control Systems Magazine 2001; 21 (1): 84-99.
36. van de Wouw N, Naghshtabrizi P, Cloosterman M, Hespanha J,. Tracking control for sampled-data systems with uncertain time-varying sampling intervals and delays. International Journal of Robust and Nonlinear Control 2010; 20 (4): 387-411.
37. Yue D, Tian E,. Delay system method to design of event-triggered control of networked control systems. Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, USA, December 2011; 1668-1673.
38. Hu S, Yue D,. Event-triggered control design of linear networked systems with quantizations. ISA Transactions 2012; 51 (1): 153-162.
39. Donkers M, Heemels W,. Output-based event-triggered control with guaranteed l-gain and improved event-triggering. Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, GA, 2010; 3246-3251.
40. Heemels W, Donkers M, Teel A,. Periodic event-triggered control based on state feedback. Proceedings of the 50th IEEE Conference on Decision and Control, Orlando, FL, USA, December 2011; 2571-2576.
41. Miskowicz M,. Send-on-delta concept: an event-based data reporting strategy. Sensors 2006; 6 (1): 49-63.
42. Fridman E,. A refined input delay approach to sampled-data control. Automatica 2010; 46 (2): 421-427.
43. Liu K, Fridman E,. Networked-based stabilization via discontinuous Lyapunov functionals. International Journal of Robust and Nonlinear Control 2012; 22 (4): 420-436.
44. Yue D, Tian E, Wang Z, Lam J,. Stabilization of systems with probabilistic interval input delays and its applications to networked control systems. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans 2009; 39 (4): 939-945.
45. Carnevale D, Teel A, Nesic D,. Further results on stability of networked control systems: a Lyapunov approach. Proceedings of the 2007 American Control Conference, New York City, USA, July 2007; 1741-1746.