Fault detection for switched positive systems under successive packet dropouts with application to the Leslie matrix model

International Journal of Robust and Nonlinear Control

Volumn 26, Issue 13, 2016, Pages 2807-2823

  Wang, Dong ^a   Wang, Zidong ^b,c   Li, Guoyang ^a   Wang, Wei ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

^c KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

Author keywords

fault detection; Leslie matrix model; packet dropouts; switched positive system

Indexed keywords

LINEAR PROGRAMMING; LYAPUNOV FUNCTIONS; STOCHASTIC SYSTEMS; SWITCHED FILTERS;

BERNOULLI PROCESS; DISTURBANCE ATTENUATION LEVELS; FAULT DETECTION FILTER (FDF); LESLIE MATRIX MODEL; MEAN SQUARE STABILITY; PACKET DROPOUTS; POSITIVE SYSTEMS; SWITCHED LYAPUNOV FUNCTION;

FAULT DETECTION;

EID: 84949034478     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.3476     Document Type: Article

References (33)

1. Shorten R, Wirth F, Leith D. A positive systems model of TCP-like congestion control: asymptotic results. IEEE/ACM Transactions on Networking 2006; 14(3):616–629.
2. Hernandez-Vargas E, Colaneri P, Middleton R, Blanchini F. Discrete-time control for switched positive systems with application to mitigating viral escape. International Journal of Robust and Nonlinear Control 2011; 21(10):1093–1111.
3. Fornasini E, Valcher M. Asymptotic stability and stabilizability of special classes of discrete-time positive switched systems. Linear Algebra and its Applications 2013; 438(4):1814–1831.
4. Lian J, Liu J. New results on stability of switched positive systems: an average dwell-time approach. IET Control Theory and Applications 2013; 7(12):1651–1658.
5. Liu X. Stability analysis of switched positive systems: a switched linear copositive Lyapunov function method. IEEE Transactions on Circuits and Systems II: Express Briefs 2009; 56(5):414–418.
6. Mason O, Shorten R. On linear copositive Lyapunov functions and the stability of switched positive linear systems. IEEE Transactions on Automatic Control 2007; 52(7):1346–1349.
7. Zhao X, Zhang L, Shi P, Liu M. Stability of switched positive linear systems with average dwell time switching. Automatica 2012; 48(6):1132–1137.
8. Zheng Y, Feng G. Two slow stabilizing switching laws for discrete time positive switched systems. International Journal of Robust and Nonlinear Control 2014; 24:2909–2927.
9. Ding S, Yang Y, Zhang Y, Li L. Data-driven realizations of kernel and image representations and their application to fault detection and control system design. Automatica 2014; 50(10):2615–2623.
10. Ferrari R, Parisini T, Polycarpou M. Distributed fault detection and isolation of large-scale discrete-time nonlinear systems: an adaptive approximation approach. IEEE Transactions on Automatic Control 2012; 57(2): 275–290.
11. Isermann R. Model-based fault-detection and diagnosis: status and applications. Annual Reviews in Control 2005; 29(1):71–85.
12. Belkhiat D, Messai N, Manamanni N. A fault detection and isolation scheme for discrete time switched linear systems. 2011 9th IEEE International Conference on Control and Automation, Santiago, 9-11 Dec. 2011;596–601.
13. He X, Wang Z, Zhou D. Robust fault detection for networked systems with communication delay and data missing. Automatica 2009;45(11): 2634–2639.
14. Karimi H. Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations. International Journal of Control, Automation and Systems 2011; 9(4):671–680.
15. Wang D, Shi P, Wang W. Robust fault detection for continuous-time switched delay systems: a linear matrix inequality approach. IET Control Theory and Applications 2010; 4(1):100–108.
16. Xiang M, Xiang Z. Robust fault detection for switched positive linear systems with time-varying delays. ISA Transactions 2014; 54:10–16.
17. 1 fault detection observer design for positive switched systems with time-varying delay via delta operator approach. International Journal of Control, Automation and Systems 2014; 12(4):709–721.
18. ∞ fault detection observer design. Automatica 2007; 43(9):1656–1665.
19. ∞ sensor fault detection observer design for nonlinear systems with parameter uncertainty. International Journal of Robust Nonlinear Control 2015; 25:339–361.
20. ∞ filter design for linear time-varying systems with state and measurement delays. International Journal of Systems Science 2010; 41(4):411–421.
21. Jiang S, Fang H. Robust fault detection for networked control systems with nonlinear disturbances and imperfect measurements. International Journal of Systems Science 2013; 44(11):2027–2038.
22. Dong H, Wang Z, Lam J, Gao H. Fuzzy-model-based robust fault detection with stochastic mixed time delays and successive packet dropouts. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2012; 42(2):365–376.
23. Gao H, Chen T, Wang L. Robust fault detection with missing measurements. International Journal of Control 2008; 81(5):804–819.
24. ∞ control for nonlinear stochastic time-delay systems with missing measurements. IEEE Transactions on Automatic Control 2012; 57(6):1431–1444.
25. Shu Z, Lam J, Gao H. Positive observers and dynamic output-feedback controllers for interval positive linear systems. IEEE Transactions on Circuits and Systems I: Regular Papers 2008; 55(10):3209–3222.
26. ∞ filtering with fading measurements and randomly occurring nonlinearities: the finite horizon case. Automatica 2015; 55:37–45.
27. ∞ control for discrete time-varying systems with randomly occurring nonlinearities and fading measurements. IEEE Transactions on Automatic Control 2015; 60(9):2488–2493.
28. Dong H, Wang Z, Ding SX, Gao H. Event-based H-infinity filter design for a class of nonlinear time-varying systems with fading channels and multiplicative noises. IEEE Transactions on Signal Processing 2015; 63(13):3387–3395.
29. Dong H, Wang Z, Ding SX, Gao H. Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization. Automatica 2015; 52:355–362.
30. Wang X, Yaz EE, Long J. Robust and resilient state-dependent control of continuous-time nonlinear systems with general performance criteria. Systems Science and Control Engineering: An Open Access Journal 2014; 2(1):34–40.
31. Lefebvre M, Zitouni F. Analytical solutions to LQG homing problems in one dimention. Systems Science and Control Engineering: An Open Access Journal 2014; 2(1):41–47.
32. Wei G, Liu S, Song Y, Liu Y. Probability-guaranteed set-membership filtering for systems with incomplete measurements. Automatica 2015; 60:12–16.
33. ∞ fuzzy filtering with randomly occurring gain variations and channel fadings. IEEE Transactions on Fuzzy Systems 2015. in press, DOI: 10.1109/TFUZZ.2015.2446509.