Robust H∞ output tracking control for fuzzy networked systems with stochastic sampling and multiplicative noise

Nonlinear Dynamics

Volumn 70, Issue 2, 2012, Pages 1061-1077

  Wen, Shiping ^a,b   Zeng, Zhigang ^a,b   Huang, Tingwen ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^c TEXAS A AND M UNIVERSITY AT QATAR   (Qatar)

Author keywords

Multiplicative noise; Output tracking control; Stochastic sampling; Uncertainty

Indexed keywords

BERNOULLI DISTRIBUTIONS; CLOSED-LOOP; CONTINUOUS TIME-DELAY SYSTEMS; ILLUSTRATIVE EXAMPLES; INPUT-DELAY; MULTIPLICATIVE NOISE; NETWORK-INDUCED DELAYS; NETWORKED SYSTEMS; NORM-BOUNDED UNCERTAINTY; OCCURRENCE PROBABILITY; OUTPUT TRACKING CONTROL; OUTPUT-TRACKING; PACKET DROPOUTS; PROBABILISTIC SYSTEMS; REFERENCE MODELS; ROBUST H; SAMPLING PERIOD; STATE-FEEDBACK CONTROLLERS; STOCHASTIC SAMPLING; TIME VARYING; UNCERTAINTY;

DELAY CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NAVIGATION; PHASE NOISE; PROBABILITY DISTRIBUTIONS;

STOCHASTIC SYSTEMS;

EID: 84871011502     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-012-0513-0     Document Type: Article

References (48)

1. Feng, G.: A survey on analysis and design of model-based fuzzy control systems. IEEE Trans. Fuzzy Syst. 14, 676- 697 (2006)
2. Wang, H., Tanaka, K., Griffin, M.: An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans. Fuzzy Syst. 4, 14-23 (1996)
3. Gassara, H., El, H., Chaabane, M.: Robust control of T-S fuzzy systems with time-varying delay using new approach. Int. J. Robust Nonlinear Control 20, 1566-1578 (2010)
4. Liu, J., Yue, D.: Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays. Int. J. Robust Nonlinear Control 22, 827-840 (2012)
5. Kuperman, A., Zhong, Q.: Robust control of uncertain nonlinear systems with state delays based on an uncertainty and disturbance estimator. Int. J. Robust Nonlinear Control 21, 1541-1561 (2011)
6. Li, L., Liu, X.: Stability analysis for T-S fuzzy systems with interval time-varying delays and nonlinear perturbations. Int. J. Robust Nonlinear Control 20, 1622-1636 (2010)
7. Chang, W., Park, J., Joo, Y., Chen, G.: Static outputfeedback fuzzy controller for Chen's chaotic system with uncertainties. Inf. Sci. 151, 227-244 (2003)
8. de Souza, C., Li, X.: Delay-dependent robust H1 control of uncertain linear state-delayed systems. Automatica 35, 1313-1321 (1999)
9. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modelling and control. IEEE Trans. Syst. Man Cybern., Part B, Cybern. 15, 116-132 (1985)
10. Qu, Z., Dorsey, J.: Robust tracking control of robots by a linear feedback law. IEEE Trans. Autom. Control 36, 1081- 1084 (1991)
11. Dawson, D., Qu, Z., Carroll, J.: Tracking control of rigidlink electrically-driven robot manipulations. Int. J. Control 56, 991-1006 (1992)
12. Benvenuti, L., Benedetto,M., Grizzle, J.: Approximate output tracking for nonlinear nonminimum phase systems with an application to flight control. Int. J. Robust Nonlinear Control 4, 397-414 (1994)
13. Liao, F., Wang, J., Yang, G.: Reliable robust flight tracking control: an LMI approach. IEEE Trans. Control Syst. Technol. 10, 76-89 (2002)
14. Hu, J., Dawson, D., Qian, Y.: Position tracking control of an induction-motor via partial state-feedback. Automatica 31, 989-1000 (1995)
15. Shieh, N., Tung, P., Lin, C.: Robust output tracking control of a linear brushless DC motor with time-varying disturbances. Inst. Electr. Eng. Process. Electr. Power Appl. 149, 39-45 (2002)
16. Li, D.: Adaptive output feedback control of uncertain nonlinear chaotic systems based on dynamic surface control technique. Nonlinear Dyn. 68, 235-243 (2012)
17. Mousavi, S., Ranjbar-Sahraei, B., Noroozi, N.: Output feedback controller for hysteretic time-delayedMIMO nonlinear systems an H∞-based indirect adaptive interval type- 2 fuzzy approach. Nonlinear Dyn. 68, 63-76 (2012)
18. Kamali, M., Askari, J., Sheikholeslam, F.: An outputfeedback adaptive actuator failure compensation controller for systems with unknown state delays. Nonlinear Dyn. 67, 2397-2410 (2012)
19. Lu, C., Hwang, Y.: A model reference robust multiplesurfaces design for tracking control of radial pneumatic motion systems. Nonlinear Dyn. 67, 2585-2597 (2012)
20. Yang, R., Lu, L., Xie, L.: Robust H2 and H∞ control of discrete-time systems with polytopic uncertainties via dynamic output feedback. Int. J. Control 78, 1285-1294 (2005)
21. Swarnakar, A., Marquez, H., Chen, T.: Robust stabilization of nonlinear interconnected systems with application to an industrial utility boiler. Control Eng. Pract. 15, 639-654 (2007)
22. Li, H., Chen, B., Zhou, Q., Lin, C.: Robust exponential stability for delayed uncertain Hopfield neural networks with Markovian jumping parameters. Phys. Lett. A 372, 4996- 5003 (2008)
23. Li, H., Chen, B., Zhou, Q., Qian, W.: Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters. IEEE Trans. Syst. Man Cybern., Part B, Cybern. 39, 94-102 (2009)
24. Zhou, Q., Shi, P., Liu, H., Xu, S.: Neural-networkbased decentralized adaptive output-feedback control for large-scale stochastic nonlinear systems. IEEE Trans. Syst. Man Cybern. Part B Cybern. (2012). doi:10.1109/TSMCB.2012. 2196432
25. Zhou, Q., Shi, P., Lu, J., Xu, S.: Adaptive output feedback fuzzy tracking control for a class of nonlinear systems. IEEE Trans. Fuzzy Syst. 19, 972-982 (2011)
26. Li, H., Liu, H., Gao, H., Shi, P.: Reliable fuzzy control for active suspension systems with actuator delay and fault. IEEE Trans. Fuzzy Syst. 20, 342-357 (2012)
27. Wang, Y., Yang, G.: Output tracking control for networked control systems with time delay and packet dropout. Int. J. Control 81, 1709-1719 (2008)
28. Wang, Y., Yang, G.: H∞ performance optimization for networked control systems with limited communication channels. J. Control Theory Appl. 8, 99-104 (2010)
29. Zhang, D., Yu, L.: H∞ output tracking control for neutral systems with time-varying delay and nonlinear perturbations. Commun. Nonlinear Sci. Numer. Simul. 15, 3284- 3292 (2010)
30. Wang, M., Zhao, J., Georgi, G.: Output tracking control of nonlinear switched cascade systems using a variable structure control method. Int. J. Control 83, 394-403 (2010)
31. Yua, Y., Zhong, Y.: Robust backstepping output tracking control for SISO uncertain nonlinear systems with unknown virtual control coefficients. Int. J. Control 83, 1182- 1192 (2010)
32. Do, K.: Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings. Int. J. Control 83, 1199-1216 (2010)
33. Han, Z., Xu, G.: Output feedback stabilisation of a treeshaped network of vibrating strings with non-collocated observation. Int. J. Control 84, 458-475 (2011)
34. Wang, Z., Yang, F., Ho, D., Liu, X.: Robust varianceconstrained H∞ control for stochastic systems with multiplicative noises. J. Math. Anal. Appl. 328, 487-502 (2007)
35. Gershon, E., Shaked, U.: H∞ output-feedback control of discrete-time systems with state-multiplicative noise. Automatica 44, 574-579 (2008)
36. Ku, C., Huang, P., Chang, W.: Passive fuzzy controller design for nonlinear systems with multiplicative noises. J. Franklin Inst. 347, 732-750 (2010)
37. Costa, O., Benites, G.: Linear minimum mean square filter for discrete-time linear systems with Markov jumps and multiplicative noises. Automatica 47, 466-476 (2011)
38. Gao, H., Chen, T.: H∞ estimation for uncertain systems with limited communication capacity. IEEE Trans. Autom. Control 52, 2070-2084 (2007)
39. Fridman, E., Shaked, U., Suplin, V.: Input/output delay approach to robust sampled-data H∞ control. Syst. Control Lett. 54, 271-282 (2005)
40. Gao, H., Chen, T., Lam, J.: A new delay system approach to network-based control. Automatica 4, 39-52 (2008)
41. Gao, H., Wu, J., Shi, P.: Robust sampled-data H∞ control with stochastic sampling. Automatica 45, 1729-1736 (2009)
42. Gao, H., Chen, T.: Network-based H∞ output tracking control. IEEE Trans. Autom. Control 53, 655-667 (2008)
43. Gao, H., Sun,W., Shi, P.: Robust sampled-data H∞ control for vehicle active suspension systems. IEEE Trans. Control Syst. Technol. 18, 238-245 (2010)
44. Jiang, C., Zhang, Q., Cai, M.: H∞ control of networked control systems with state quantisation. Int. J. Syst. Sci. 42, 959-966 (2011)
45. Meza-Sanchez, I., Iliana, M., Aguilar, L., Shiriaev, A., Freidovich, L., Orlov, Y.: Periodic motion planning and nonlinear H∞ tracking control of a 3-DOF underactuated helicopter. Int. J. Syst. Sci. 42, 829-838 (2011)
46. Senthilkumar, T., Balasubramaniam, P.: Delay-dependent robust H∞ control for uncertain stochastic T-S fuzzy systems with time-varying state and input delays. Int. J. Syst. Sci. 42, 877-887 (2011)
47. Rasool, F., Nguang, S.: Quantized robust H∞ control of discrete-time systems with random communication delays. Int. J. Syst. Sci. 42, 129-138 (2011)
48. Petersen, I., Hollot, C.: A Riccati eqnarray approach to the stabilization of uncertain linear systems. Automatica 22, 397-411 (1986)