On exponential stability of linear networked control systems

International Journal of Robust and Nonlinear Control

Volumn 24, Issue 7, 2014, Pages 1221-1240

  Moarref, Miad ^a   Rodrigues, Luis ^a  

^a Gina Cody School of Engineering and Computer Science   (Canada)

Author keywords

linear matrix inequalities; linear systems; Lyapunov Krasovskii functional; networked control systems; sampled data systems

Indexed keywords

CONVEX OPTIMIZATION; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; SAMPLED DATA CONTROL SYSTEMS;

BENCH-MARK PROBLEMS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NETWORK-INDUCED DELAYS; OPTIMIZATION PROGRAMS; SAMPLED DATA SYSTEMS; SAMPLED-DATA CONTROLLER; TIME VARYING- DELAYS; TIME-VARYING SAMPLINGS;

NETWORKED CONTROL SYSTEMS;

EID: 84897110580     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.2936     Document Type: Article

References (40)

1. Daniel JP,. Fly-by-wireless Airbus end-user viewpoint. Fly-by-Wireless Workshop, Grapevine, TX, 2007; 1-16.
2. Zahmati AS, Fernando X, Kojori H,. Emerging wireless applications in aerospace: benefits, challenges, and existing methods. Proceedings of the 4th CANEUS Fly-by-Wireless Workshop (FBW11), Montreal, QC, 2011; 87-90.
3. Ost M, Pichavant C,. Update on wireless avionics intra-communications (WAIC). ICAO WG-F Meeting, Dakar, Senegal, 2011; 1-13.
4. Zahmati AS, Fernando X, Kojori H,. Transmission delay in wireless sensing, command and control applications for aircraft. Proceedings of the 4th CANEUS Fly-by-Wireless Workshop (FBW11), Montreal, QC, 2011; 91-94.
5. van de Wouw N, Naghshtabrizi P, Cloosterman M, Hespanha JP,. Tracking control for sampled-data systems with uncertain time-varying sampling intervals and delays. International Journal of Robust and Nonlinear Control 2010; 20: 387-411.
6. â̂ control for stochastic systems. International Journal of Robust and Nonlinear Control 2012; 22: 1036-1059.
7. Yang H, Xia Y, Shi P,. Stabilization of networked control systems with nonuniform random sampling periods. International Journal of Robust and Nonlinear Control 2011; 21: 501-526.
8. Hale JK, Lunel SMV,. Introduction to Functional Differential Equations. Springer: New York, 1993.
9. Gu K, Kharitonov VL, Chen J,. Stability of Time-delay Systems. Birkhauser: Basel, 2003.
10. Boukas EK, Liu ZK,. Deterministic ans Stochastic Time Delay Systems. Birkhauser: Basel, 2002.
11. Yamamoto Y,. New approach to sampled-data control systems-a function space method. Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, HI, 1990; 1882-1887. (Pubitemid 21691190)
12. Bamieh B, Pearson JB, Francis B, Tannenbaum A,. A lifting technique for linear periodic systems with applications to sampled-data control. Systems & Control Letters 1991; 17 (2): 79-88. (Pubitemid 21708021)
13. Yamamoto Y,. A function space approach to sampled data control systems and tracking problems. IEEE Transactions on Automatic Control 1994; 39 (4): 703-713.
14. Chen T, Francis B,. Optimal Sampled-data Control Systems, Communication and Control Engineering Series, Springer-Verlag: Berlin, 1995.
15. 2 sampled-data control for linear uncertain systems. IEEE Transactions on Systems, Man, and Cybernetics 2003; 33 (1): 149-155.
16. Naghshtabrizi P, Hespanha JP, Teel AR,. Exponential stability of impulsive systems with application to uncertain sampled-data systems. Systems & Control Letters 2008; 57 (5): 378-385. (Pubitemid 351417660)
17. Naghshtabrizi P, Hespanha JP, Teel AR,. Stability of delay impulsive systems with application to networked control systems. Transactions of the Institute of Measurement and Control 2010; 32 (5): 511-528.
18. Fridman E, Seuret A, Richard JP,. Robust sampled-data stabilization of linear systems: an input delay approach. Automatica 2004; 40 (8): 1441-1446.
19. Gao H, Chen T, Lam J,. A new delay system approach to network-based control. Automatica 2008; 44 (1): 39-52.
20. Fridman E,. A refined input delay approach to sampled-data control. Automatica 2010; 46 (2): 421-427.
21. Zhu X, Wang Y,. New stability and stabilization criteria for sampled data systems. Proceedings of the 8th IEEE International Conference on Control and Automation, Vol. 1, Xiamen, China, 2010; 1829-1834.
22. Liu K, Fridman E,. Networked-based stabilization via discontinuous Lyapunov functionals. International Journal of Robust and Nonlinear Control 2012; 22: 420-436.
23. Mirkin L,. Some remarks on the use of time-varying delay to model sample-and-hold circuits. IEEE Transactions on Automatic Control 2007; 52 (6): 1109-1112. (Pubitemid 47034042)
24. Krasovskii N,. Stability of Motion: Applications of Lyapunov's Second Method to Differential Systems and Equations with Delay. Stanford University Press: Stanford, CA, 1963.
25. Hespanha JP, Naghshtabrizi P, Xu Y,. A survey of recent results in networked control systems. Proceedings of the IEEE 2007; 95 (1): 138-162.
26. Strum JF,. Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software 1999; 11-12: 625-653. (Available from: http://sedumi.ie.lehigh.edu/) [accessed on December 1, 2012].
27. Löfberg J,. YALMIP: A toolbox for modeling and optimization in MATLAB. Proceedings of the CACSD Conference, Taipei, Taiwan, 2004; 284-289. (Available from: http://users.isy.liu.se/johanl/yalmip/) [accessed on December 1, 2012]. (Pubitemid 40788529)
28. Liberzon D,. On stabilization of linear systems with limited information. IEEE Transactions on Automatic Control 2003; 48 (2): 304-307.
29. Shao H,. New delay-dependent stability criteria for systems with interval delay. Automatica 2009; 45 (3): 744-749.
30. Sun J, Liu G, Chen J, Rees D,. Improved delay-range-dependent stability criteria for linear systems with time-varying delays. Automatica 2010; 46 (2): 466-470.
31. â̂ filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts. IEEE Transactions on Signal Processing 2010; 58 (4): 1957-1966.
32. Dong H, Wang Z, Gao H,. Distributed filtering for a class of time-varying systems over sensor networks with quantization errors and successive packet dropouts. IEEE Transactions on Signal Processing 2012; 60 (6): 3164-3173.
33. Cloosterman M, van de Wouw N, Heemels M, Nijmeijer H,. Robust stability of networked control systems with time-varying network-induced delays. Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, 2006; 4980-4985. (Pubitemid 351284016)
34. Nilsson J,. Real-time control systems with delays. Ph.D. Thesis, Lund Institute of Technology, 1998.
35. Zhang W, Branicky MS, Phillips SM,. Stability of networked control systems. IEEE Control Systems Magazine 2001; 21 (1): 84-99. (Pubitemid 32869524)
36. Fridman E, Orlov Y,. Exponential stability of linear distributed parameter systems with time-varying delays. Automatica 2009; 45 (1): 194-201.
37. Hoffman K, Kunze R,. Linear Algebra, (2nd edn), Prentice Hall: Englewood Cliffs, NJ, 1971.
38. Boyd S, El Ghaoui L, Feron E, Balakrishnan V,. Linear Matrix Inequalities in System and Control Theory. SIAM: Philadelphia, 1994.
39. Khalil HK,. Nonlinear Systems. Prentice Hall: New Jersey, 2002.
40. Park P, Ko JW,. Stability and robust stability for systems with a time-varying delay. Automatica 2007; 43 (10): 1855-1858. (Pubitemid 47381431)