Robust fault-tolerant control of uncertain fractional-order systems against actuator faults

IET Control Theory and Applications

Volumn 7, Issue 9, 2013, Pages 1233-1241

  Shen, Hao ^a   Song, Xiaona ^b   Wang, Zhen ^c  

^a ANHUI UNIVERSITY OF TECHNOLOGY   (China)

^b HENAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c SHANDONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC OUTPUT FEEDBACK CONTROLLER; FAULT TOLERANT CONTROL; FAULT-TOLERANT; FRACTIONAL ORDER; FRACTIONAL-ORDER SYSTEMS; KRONECKER PRODUCT; POLYTOPE-TYPE UNCERTAINTIES; RECIPROCAL PROJECTIONS;

ELECTRICAL ENGINEERING;

CONTROL THEORY;

EID: 84881275946     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2012.0822     Document Type: Article

References (45)

1. Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M.: 'Diagnosis and fault-tolerant control' (Springer, Berlin, 2003)
2. Huang, X., Lam, J., Cao, J., Xu, S.: 'Robust synchronization criteria for recurrent neural networks via linear feedback', Int. J. Bifurcation Chaos, 2007, 17, (8), 2723-2738
3. Blanke, M., Izadi-Zamanabadi, R., Bogh, S.A., Lunau, Z.P.: 'Faulttolerant control systems-a holistic view', J. Contr. Eng. Prac., 2007, 5, 693-702
4. Isermann, R.: 'Fault-diagnosis systems : an introduction from fault detection to fault tolerance' (Springer, Berlin, 2006)
5. Du, D., Jiang, B., Shi, P.: 'Sensor fault estimation and compensation for time-delay switched systems', Int. J. Syst. Sci., 2012, 43, pp. 629- 640
6. Niu, Y., Daniel Ho, W.C., Li, C.: 'Filtering for discrete fuzzy stochastic systems with sensor nonlinearities', IEEE Trans. Fuzzy Syst., 2010, 18, (5), pp. 971-978
7. Wu, L., Daniel Ho, W.C.: 'Fuzzy filter design for nonlinear Ito stochastic systems with application to sensor fault detection', IEEE Trans. Fuzzy Syst., 2009, 17, pp. 233-241
8. Wu, L., Yao, X., Zheng, W.: 'Generalized H2 fault detection for Markovian jumping two-dimensional Systems', Automatica, 2012, 48, pp. 1741-1750
9. Zhao, Y., Lam, J., Gao, H.: 'Fault detection for fuzzy systems with intermittent measurements', IEEE Trans. Fuzzy Syst., 2009, 17, pp. 398-410
10. Zhong, M., Ding, S.X., Lam, J., Wang, H.: 'An LMI approach to design robust fault detection filter for uncertain LTI systems', Automatica, 2003, 39, pp. 543-550
11. Fan, L., Song, Y.: 'Neuro-adaptive model-reference fault-tolerant control with application to wind turbines', IET Control Theory Appl., 2012, 6, pp. 475-486
12. Hu, Q., Xiao, B., Friswell, M.I.: 'Robust fault-tolerant control for spacecraft attitude stabilisation subject to input saturation', IET Control Theory Appl., 2011, 5, pp. 271-282
13. Huang, S., Lam, J., Yang, G., Zhang, S.: 'Fault tolerant decentralized H∞ control for symmetric composite systems', IEEE Trans. Autom. Control, 1999, 44, pp. 2108-2114
14. Li, X., Yang, G.H.: 'Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures', IET Control Theory Appl., 2012, 6, pp. 1544-1551
15. Ma, H.J., Yang, G.H.: 'Detection and adaptive accommodation for actuator faults of a class of non-linear systems', IET Control Theory Appl., 2012, 6, pp. 2292-2307
16. Peng, C., Yang, T.C., Tian, E.G.: 'Robust fault-tolerant control of networked control systems with stochastic actuator failure', IET Control Theory Appl., 2012, 4, pp. 3003-3011
17. Tao, F., Zhao, Q.: 'Synthesis of active fault-tolerant control based on Markovian jump system models', IET Control Theory Appl., 2007, 1, pp. 1160-1168
18. Wu, Z.G., Shi, P., Su, H., Chu, J.: 'Reliable H∞ control for control for discrete-time fuzzy systems with infinite-distributed delay', IEEE Trans. Fuzzy Syst., 2012, 20, pp. 22-31
19. Yang, H., Cocquempot, V., Jiang, B.: 'Robust fault tolerant tracking control with application to hybrid nonlinear systems', IET Control Theory Appl., 2009, 3, pp. 211-224
20. Podlubny, I.: 'Fractional Differential Equations' (Academic Press, New York, 1999)
21. Shen, J., Cao, J.: 'Necessary and sufficient conditions for consensus of delayed fractional-order systems', Asian J. Control, 2012, 14, pp. 1690-1697
22. Matignon, D.: 'Stability results for fractional differential equations with applications to control processing', Proc Computational Engineering in Systems and Applications Multiconference, IMACS, IEEESMC, Lille, France, July 1996, pp. 963-968
23. Li, C.P., Zhang, F.: 'A survey on the stability of fractional differential equations', Eur. Phys. J., Spec. Top., 2011, 193, pp. 27-47
24. Sabatier, J., Moze, M., Farges, C.: 'On stability of fractional order systems'. Proc. Third IFAC Workshop on Fractional Differentiation and its Application (FDA'08), Ankara, Turkey, 2008
25. Ahn, H.S., Chen, Y.: 'Necessary and sufficient stability condition of fractional-order interval linear systems', Automatica, 2008, 44, pp. 2985-2988
26. Chen, Y., Ahn, H., Podlubny, I.; 'Robust stability check of fractional order linear time invariant systems with interval uncertainties', Signal Process., 2006, 86, pp. 2611-2618
27. Lan, Y., Huang, H., Zhou, Y.: 'Observer-based robust control of α (1 ≤ α < 2) fractional-order uncertain systems: a linear matrix inequality approach', IET Control Theory Appl., 2012, 6, pp. 229-234
28. Lan, Y., Zhou, Y.: 'LMI-based robust control of fractional-order uncertain linear systems', Comput. Math. Appl., 2011, 62, pp. 1460-1471
29. Li, C., Wang, J.: 'Robust stability and stabilization of fractional order interval systems with coupling relationships: The 0 < α < 1 case', J. Franklin Inst., 2012, 349, (7), pp. 2406-2419
30. Song, X., Chen, Y.Q., Shen, H.: 'LMI fault tolerant control for interval fractional-order systems with sensor failures'. Proc. Fourth IFAC Workshop Fractional Differentiation and its Applications (FDA'10.), Article no. FDA10-126, Badajoz, Spain, 18-20 October, 2010
31. Wang, Z., Huang, X., Shen, H.: 'Control of an uncertain fractional order economic system via adaptive sliding mode', Neurocomputing, 2012, 83, pp. 83-88
32. Farges, C., Moze, M., Sabatier, J.: 'Pseudo-state feedback stabilization of commensurate fractional order systems', Automatica, 2010, 46, pp. 1730-1734
33. Farges, C., Sabatier, J., Moze, M.: 'Robust stability analysis and stabilization of fractional order polytopic systems', Preprints of the 18th IFAC World Congress, volume 6, pp. 10800-10805, Milano, Italy, 2011.
34. He, Y., Wang, Q., Zheng, W.: 'Global robust stability for delayed neural networks with polytopic type uncertainties', Chaos Solitons Fractals, 2005, 26, (5), pp. 1349-1354
35. Liang, J., Wang, Z., Liu, X., Louvieris, P.: 'Robust synchronization for 2-D discrete-time coupled dynamical networks', IEEE Trans. Neural Netw. Learn. Syst., 2012, 23, (6), pp. 942-953
36. Shen, H., Huang, X., Zhou, J., Wang, Z.: 'Global exponential estimates for uncertain Markovian jump neural networks with reaction-diffusion terms', Nonlinear Dyn., 2012, 69, pp. 473-486
37. Wang, Z., Wu, H., Liang, J., Liu, X.: 'On modeling and state estimation for genetic regulatory networks with polytopic uncertainties', IEEE Tran. NanoBioscience, 2013, 12, (1), pp. 13-20
38. Zhang, B., Xu, S., Zou, Y.: 'Relaxed stability conditions for delayed recurrent neural networks with polytopic uncertainties', Int. J. Neural Syst., 2006, 16, pp. 473-482
39. Caputo, M.: 'Linear models of dissipation whose Q is almost frequency independence-II', Geophys. J. R. Astron. Soc., 1967, 13, (5), pp. 529-539
40. Yang, G.H., Wang, J.L., Soh, Y.C.: 'Reliable H∞ controller design for linear systems', Automatica, 2001, 37, pp. 717-725
41. Moze, M., Sabatier, J.: 'LMI tools for stability analysis of fractional systems'. Proc. ASME 2005 Int. Design Engineering Technical Conferences and Computer and Information in Engineering Conference, pp. 1-9, Long Beach, CA, 2005.
42. Chilali, M., Gahinet, P., Apkarian, P.: 'Robust pole placement in LMI regions', IEEE Trans. Autom. Control, 1999, 44, pp. 2257- 2270
43. Apkarian, P., Tuan, H.D., Bernussou, J.: 'Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations', IEEE Trans. Autom. Control, 2001, 46, pp. 1941-1946
44. Shen, H., Xu, S., Lu, J., Zhou, J.: 'Passivity based control for uncertain stochastic jumping systems with mode-dependent roundtrip time delays', J. Franklin Inst., 2012, 349, (5), pp. 1665- 1680
45. Xu, S., Lam, J., Mao, X.: 'Delay-dependent H∞ control and filtering for uncertain Markovian jump systems with time-varying delays', IEEE Trans. Circuits Syst. I, Reg. Pap., 2007, 54, pp. 2070- 2077