Nie–Tan fuzzy method of fault-tolerant wind energy conversion systems via sampled-data control
- Author(s): Nallappan Gunasekaran 1 and Young Hoon Joo 1
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View affiliations
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Affiliations:
1:
School of IT Information and Control Engineering , Kunsan National University , Kunsan, Chonbuk 573-701 , Republic of Korea
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Affiliations:
1:
School of IT Information and Control Engineering , Kunsan National University , Kunsan, Chonbuk 573-701 , Republic of Korea
- Source:
Volume 14, Issue 11,
23
July
2020,
p.
1516 – 1523
DOI: 10.1049/iet-cta.2019.0816 , Print ISSN 1751-8644, Online ISSN 1751-8652
In this study, the stabilisation of fault-tolerant control problem for the variable speed wind turbine (VSWT) model has been investigated with actuator faults by incorporating a Takagi–Sugeno fuzzy technique. To deal with the non-linear behaviour of VSWT, Nie–Tan fuzzy logic membership is proposed. The sampled-data input is changed over into a time-delay term by input delay methodology, and the time delay caused by signal transmission is likewise overseen here. Based on Lyapunov–Krasovskii function theory, a new relaxed sufficient condition with less linear matrix inequality constraints is derived. According to this criterion, a Nie–Tan fuzzy logic controller has been devised to ensure that the closed-loop system is asymptotically stable. Finally, based on the parameter values, the numerical simulations are performed to validate the derived theoretical results.
Inspec keywords: power generation control; sampled data systems; actuators; Lyapunov methods; fuzzy control; linear matrix inequalities; fuzzy logic; closed loop systems; asymptotic stability; time-varying systems; delays; control system synthesis; fault tolerant control; wind turbines
Other keywords: signal transmission; Lyapunov–Krasovskii function theory; Takagi–Sugeno fuzzy technique; Nie–Tan fuzzy logic membership; linear matrix inequality constraints; relaxed sufficient condition; Nie–Tan fuzzy method; input delay methodology; sampled-data control; closed-loop system; actuator faults; time delay; sampled-data input; Nie–Tan fuzzy logic controller; variable speed wind turbine model; fault-tolerant control problem; fault-tolerant wind energy conversion systems; time-delay term
Subjects: Stability in control theory; Distributed parameter control systems; Fuzzy control; Algebra; Control of electric power systems; Control system analysis and synthesis methods; Discrete control systems; Wind power plants; Algebra; Time-varying control systems
References
-
-
1)
-
34. Boukhezzar, B., Siguerdidjane, H.: ‘Comparison between linear and nonlinear control strategies for variable speed wind turbines’, Control Eng. Pract., 2010, 18, (12), pp. 1357–1368.
-
-
2)
-
9. Shibata, A., Ohishi, S., Yabuno, H.: ‘Passive method for controlling the nonlinear characteristics in a parametrically excited hinged-hinged beam by the addition of a linear spring’, J. Sound Vib., 2015, 350, pp. 111–122.
-
-
3)
-
14. Asl, H.J., Yoon, J.: ‘Power capture optimization of variable-speed wind turbines using an output feedback controller’, Renew. Energy, 2016, 86, pp. 517–525.
-
-
4)
-
38. Yan-xia, S., Qing-nan, H., Ting-long, P., et al: ‘T-S fuzzy robust fault-tolerant control strategy for wind energy conversion system’. Industrial Electronics and Applications (ICIEA) 2013 8th IEEE Conf. on., Melbourne, VIC, Australia, 2013, pp. 167–172.
-
-
5)
-
41. Wang, H.O., Tanaka, K., Griffin, M.F.: ‘An approach to fuzzy control of nonlinear systems: stability and design issues’, IEEE Trans. Fuzzy Syst., 1996, 4, (1), pp. 14–23.
-
-
6)
-
37. Tong, X., Zhao, X.: ‘Power generation control of a monopile hydrostatic wind turbine using an H∞loop-shaping torque controller and an lpv pitch controller’, IEEE Trans. Control Syst. Technol., 2018, 26, (6), pp. 2165–2172.
-
-
7)
-
19. Rakkiyappan, R., Sakthivel, N., Cao, J.: ‘Stochastic sampled-data control for synchronization of complex dynamical networks with control packet loss and additive time-varying delays’, Neural Netw., 2015, 66, pp. 46–63.
-
-
8)
-
8. Stumberger, G., Polajzer, B., Stumberger, B., et al: ‘Evaluation of experimental methods for determining the magnetically nonlinear characteristics of electromagnetic devices’, IEEE Trans. Magn., 2005, 41, (10), pp. 4030–4032.
-
-
9)
-
3. Bao, Y., Wang, H., Zhang, J.: ‘Adaptive inverse control of variable speed wind turbine’, Nonlinear Dyn., 2010, 61, (4), pp. 819–827.
-
-
10)
-
18. Joo, Y.H., Shieh, L.S., Chen, G.: ‘Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems’, IEEE Trans. Fuzzy Syst., 1999, 7, (4), pp. 394–408.
-
-
11)
-
29. Melin, P., Astudillo, L., Castillo, O., et al: ‘Optimal design of type-2 and type-1 fuzzy tracking controllers for autonomous mobile robots under perturbed torques using a new chemical optimization paradigm’, Expert Syst. Appl., 2013, 40, (8), pp. 3185–3195.
-
-
12)
-
1. Pedersen, N.H., Johansen, P., Andersen, T.O.: ‘Optimal control of a wind turbine with digital fluid power transmission’, Nonlinear Dyn., 2018, 91, (1), pp. 591–607.
-
-
13)
-
27. Nie, M., Tan, W.W.: ‘Towards an efficient type-reduction method for interval type-2 fuzzy logic systems’. Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE Int. Conf. on., Hong Kong, China, 2008, pp. 1425–1432.
-
-
14)
-
35. Zheng, X., Li, L., Xu, D., et al: ‘Sliding mode MPPT control of variable speed wind power system’. Power and Energy Engineering Conf. 2009. APPEEC 2009. Asia-Pacific. (IEEE), Wuhan, China, 2009, pp. 1–4.
-
-
15)
-
10. Xu, F., Cheng, M., Zhang, J.: ‘Multi-objective control of direct-driven wind power generation system with frequency separation’, Chinese J. Electr. Eng., 2017, 3, (1), pp. 42–50.
-
-
16)
-
33. Novak, P., Ekelund, T., Jovik, I., et al: ‘Modeling and control of variable-speed wind-turbine drive-system dynamics’, IEEE Control Systems, 1995, 15, (4), pp. 28–38.
-
-
17)
-
12. Si, G., Zhu, J., Diao, L., et al: ‘Modeling, nonlinear dynamic analysis and control of fractional pmsg of wind turbine’, Nonlinear Dyn., 2017, 88, (2), pp. 985–1000.
-
-
18)
-
36. Song, Y.D., Dhinakaran, B., Bao, X.Y.: ‘Variable speed control of wind turbines using nonlinear and adaptive algorithms’, J. Wind Eng. Ind. Aerodyn., 2000, 85, (3), pp. 293–308.
-
-
19)
-
23. Gunasekaran, N., Saravanakumar, R., Joo, Y.H., et al: ‘Finite-time synchronization of sampled-data T–S fuzzy complex dynamical networks subject to average dwell-time approach’, Fuzzy Sets Syst., 2019, 374, pp. 40–59.
-
-
20)
-
17. Rezaei, M., Behzad, M., Haddadpour, H., et al: ‘Aeroelastic analysis of a rotating wind turbine blade using a geometrically exact formulation’, Nonlinear Dyn., 2017, 89, (4), pp. 2367–2392.
-
-
21)
-
11. Wei, Z., Moon, B.Y., Joo, Y.H.: ‘Smooth wind power fluctuation based on battery energy storage system for wind farm’, J. Electr. Eng. Technol., 2014, 9, (6), pp. 2134–2141.
-
-
22)
-
26. Sung, H.C., Park, J.B., Joo, Y.H.: ‘Robust observer-based fuzzy control for variable speed wind power system: lmi approach’, Int. J. Control Autom. Syst., 2011, 9, (6), pp. 1103–1110.
-
-
23)
-
22. Gunasekaran, N., Joo, Y.H.: ‘Stochastic sampled-data controller for T–S fuzzy chaotic systems and its applications’, IET Control Theory Applic., 2019, 13, (12), pp. 1834–1843.
-
-
24)
-
25. Song, D., Yang, J., Fan, X., et al: ‘Maximum power extraction for wind turbines through a novel yaw control solution using predicted wind directions’, Energy Convers. Manage., 2018, 157, pp. 587–599.
-
-
25)
-
30. El-Bardini, M., El-Nagar, A.M.: ‘Interval type-2 fuzzy pid controller for uncertain nonlinear inverted pendulum system’, ISA Trans., 2014, 53, (3), pp. 732–743.
-
-
26)
-
4. Morsi, A., Abbas, H.S., Mohamed, A.M.: ‘Wind turbine control based on a modified model predictive control scheme for linear parameter-varying systems’, IET Control Theory Appl., 2017, 11, (17), pp. 3056–3068.
-
-
27)
-
16. Wu, D., Song, J., Shen, Y., et al: ‘Active fault-tolerant linear parameter varying control for the pitch actuator of wind turbines’, Nonlinear Dyn., 2017, 87, (1), pp. 475–487.
-
-
28)
-
39. Liu, K., Seuret, A., Xia, Y.: ‘Stability analysis of systems with time-varying delays via the second-order bessel–legendre inequality’, Automatica, 2017, 76, pp. 138–142.
-
-
29)
-
24. Song, D., Fan, X., Yang, J., et al: ‘Power extraction efficiency optimization of horizontal-axis wind turbines through optimizing control parameters of yaw control systems using an intelligent method’, Appl. Energy, 2018, 224, pp. 267–279.
-
-
30)
-
6. Chinchilla, M., Arnaltes, S., Burgos, J.C.: ‘Control of permanent-magnet generators applied to variable-speed wind-energy systems connected to the grid’, IEEE Trans. Energy Convers., 2006, 21, (1), pp. 130–135.
-
-
31)
-
20. Koo, G.B., Park, J.B., Joo, Y.H.: ‘Sampled-data H∞ fuzzy filtering for nonlinear systems with missing measurements’, Fuzzy Sets Syst., 2017, 316, pp. 82–98.
-
-
32)
-
2. Mechter, A., Kemih, K., Ghanes, M.: ‘Backstepping control of a wind turbine for low wind speeds’, Nonlinear Dyn., 2016, 84, (4), pp. 2435–2445.
-
-
33)
-
15. Döşoğlu, M.K.: ‘Nonlinear dynamic modeling for fault ride-through capability of dfig-based wind farm’, Nonlinear Dyn., 2017, 89, (4), pp. 2683–2694.
-
-
34)
-
21. Ali, M.S., Gunasekaran, N., Ahn, C.K., et al: ‘Sampled-data stabilization for fuzzy genetic regulatory networks with leakage delays’, IEEE/ACM Trans. Comput. Biol. Bioinf. (TCBB), 2018, 15, (1), pp. 271–285.
-
-
35)
-
13. Gunasekaran, N., Joo, Y.H.: ‘Robust sampled-data fuzzy control for nonlinear systems and its applications: free-weight matrix method’, IEEE Trans. Fuzzy Syst., 2019, 27, (11), pp. 2130–2139.
-
-
36)
-
7. Lee, H.J., Kim, H., Joo, Y.H., et al: ‘A new intelligent digital redesign for T-S fuzzy systems: global approach’, IEEE Trans. Fuzzy Syst., 2004, 12, (2), pp. 274–284.
-
-
37)
-
28. Wu, D.: ‘Approaches for reducing the computational cost of interval type-2 fuzzy logic systems: overview and comparisons’, IEEE Trans. Fuzzy Syst., 2013, 21, (1), pp. 80–99.
-
-
38)
-
5. Miller, A., Muljadi, E., Zinger, D.S.: ‘A variable speed wind turbine power control’, IEEE Trans. Energy Convers., 1997, 12, (2), pp. 181–186.
-
-
39)
-
31. Huang, J., Ri, M., Wu, D., et al: ‘Interval type-2 fuzzy logic modeling and control of a mobile two-wheeled inverted pendulum’, IEEE Trans. Fuzzy Syst., 2018, 26, (4), pp. 2030–2038.
-
-
40)
-
32. Shanmugam, L., Joo, Y.H.: ‘Design of interval type-2 fuzzy-based sampled-data controller for nonlinear systems using novel fuzzy lyapunov functional and its application to PMSM’, IEEE Transactions on Systems, Man, and Cybernetics: System, 2018, DOI: 10-1109/TSMC.2018.2875098.
-
-
41)
-
40. Wang, J.W., Li, H.X., Wu, H.N.: ‘Fuzzy guaranteed cost sampled-data control of nonlinear systems coupled with a scalar reaction–diffusion process’, Fuzzy Sets Syst., 2016, 302, pp. 121–142.
-
-
1)