Sliding-mode control with soft computing: A survey

IEEE Transactions on Industrial Electronics

Volumn 56, Issue 9, 2009, Pages 3275-3285

  Yu, Xinghuo ^a   Kaynak, Okyay ^b  

^a RMIT UNIVERSITY   (Australia)

^b BOGAZICI UNIVERSITY   (Turkey)

Author keywords

Chaos; Chattering; Evolutionary computation; Fuzzy logic; Neural networks; Robustness; Sliding mode control; Variable structure systems

Indexed keywords

CHAOS; CHATTERING; EVOLUTIONARY COMPUTATION; ROBUSTNESS; VARIABLE-STRUCTURE SYSTEMS;

CHAOTIC SYSTEMS; COMPUTER SCIENCE; FUZZY LOGIC; FUZZY NEURAL NETWORKS; FUZZY SETS; INDUSTRIAL APPLICATIONS; INTELLIGENT SYSTEMS; RESEARCH; ROBUST CONTROL; ROBUSTNESS (CONTROL SYSTEMS); SLIDING MODE CONTROL; SOFT COMPUTING;

ADAPTIVE CONTROL SYSTEMS;

EID: 69349086555     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2009.2027531     Document Type: Article

References (97)

1. S. V. Emelyanov, "Control of first order delay systems by means of an astatic controller and nonlinear corrections," Autom. Remote Control vol. 8, pp. 983-991, 1959.
2. V. I. Utkin, "Variable structure systems with sliding modes," IEEE Trans. Autom. Control, vol. AC-22, no. 2, pp. 212-222, Apr. 1977.
3. V. Utkin, Sliding Modes in Control and Optimization. Berlin, Germany: Springer-Verlag, 1992, ser. Communications and Control Engineering Series.
4. X. Yu and J.-X. Xu, Variable Structure Systems: Towards the 21st Century, vol. 274, Lecture Notes in Control and Information Sciences. Berlin, Germany: Springer-Verlag, 2002.
5. J. Y. Hung, W. B. Gao, and J. C. Hung, "Variable structure control: A survey," IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 2-22, Feb. 1993.
6. The Berkeley Institute in Soft Computing. [Online]. Available: http:// www-bisc.cs.berkeley.edu
7. R. A. DeCarlo, S. H. Zak, and G. P. Matthews, "Variable structure control of nonlinear multivariable systems: A tutorial," Proc. IEEE vol. 76, no. 3, pp. 212-232, Mar. 1988.
8. B. Drazenovic, "The invariance conditions in variable structure systems," Automatica, vol. 5, no. 3, pp. 287-295, 1969.
9. X. Y. Lu and S. Spurgeon, "Robust sliding mode control of uncertain nonlinear systems," Syst. Control Lett., vol. 32, no. 2, pp. 75-90, Nov. 1997.
10. T. P. Leung, Q.-J. Zhou, and C. Y. Su, "An adaptive variable structure model following control design for robot manipulators," IEEE Trans. Autom. Control, vol. 36, no. 3, pp. 347-353, Mar. 1991.
11. L. Hsu, A. D. de Araujo, and R. R. Costa, "Analysis and design of I/O based variable structure adaptive control," IEEE Trans. Autom. Control, vol. 39, no. 1, pp. 4-21, Jan. 2004.
12. J.-X. Xu and Y. Tan, Linear and Nonlinear Iterative Learning Control Berlin, Germany: Springer-Verlag, 2003, ser. Lecture Notes in Control and Information Science.
13. X. Yu and Z. Man, "Fast terminal sliding-mode control design for nonlinear dynamical systems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 49, no. 2, pp. 261-264, Feb. 2002.
14. A. Levant and L. Fridman, "Robustness issues of 2-sliding mode control," in Variable Structure Systems: From Principles to Implementation. Stevenage, U.K.: IET, 2004, pp. 129-154.
15. G. Bartolini, A. Pisano, E. Punta, and E. Usai, "A survey of applications of second-order sliding mode control to mechanical systems," Int. J. Control, vol. 76, no. 9/10, pp. 875-892, Jun. 2003.
16. A. Levant, "Higher-order sliding modes, differentiation and output feedback control," Int. J. Control, vol. 76, no. 9/10, pp. 924-941, 2003.
17. O. M. E. El-Ghezawi, A. S. I. Zinober, and S. A. Billings, "Analysis and design of variable structure systems using a geometric approach," Int. J. Control, vol. 38, no. 3, pp. 657-671, 1983.
18. K. D. Young, V. I. Utkin, and U. Ozguner, "A control engineer's guide to sliding mode control," IEEE Trans. Control Syst. Technol., vol. 7, no. 3, pp. 328-342, May 1999.
19. J.-J. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
20. J. A. Burton and A. S. I. Zinober, "Continuous approximation of variable structure control," Int. J. Syst. Sci., vol. 17, no. 6, pp. 875-885, 1986.
21. J. Adamy and A. Flemming, "Soft variable-structure controls: A survey," Automatica, vol. 40, no. 11, pp. 1821-1844, Nov. 2004.
22. D. Liberzon, Switching in Systems and Control.. Cambridge, MA: Birkhauser, 2003.
23. H. Sira-Ramirez, "A relative degree approach for the control in sliding mode of nonlinear systems of general type," in Proc. Int. Workshop Variable Struct. Syst. Appl., 1990, p. 29.
24. S. Haykin, Neural Networks - A Comprehensive Foundation. Englewood Cliffs, NJ: Prentice-Hall, 1999.
25. X. Yu, O. Efe, and O. Kaynak, "A general backpropagation algorithm for feedforward neural networks learning," IEEE Trans. Neural Netw., vol. 13, no. 1, pp. 251-259, Jan. 2002.
26. K. P. Seng, Z. Man, and H. Wu, "Lyapunov theory based radial basis function networks for adaptive filtering," IEEE Trans. Neural Netw. vol. 49, no. 8, pp. 1215-1220, Aug. 2002.
27. B. M. Wilamowski, N. J. Cotton, O. Kaynak, and G. Dundar, "Computing gradient vector and Jacobian matrix in arbitrarily connected neural networks," IEEE Trans. Ind. Electron., vol. 55, no. 10, pp. 3784-3790, Oct. 2008.
28. D. H. Wolpert and W. G. Macready, "No free lunch theorems for optimization," IEEE Trans. Evol. Comput., vol. 1, no. 1, pp. 67-82, Apr. 1997.
29. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 110-132, Jan./Feb. 1985.
30. M. Sugeno and G. T. Kang, "Fuzzy identification of fuzzy model," Fuzzy Sets Syst., vol. 28, no. 1, pp. 15-33, 1988.
31. E. H. Mamdani and S. Assilian, "An experiment in linguistic synthesis with a fuzzy logic controller," Int. J. Man-Mach. Stud., vol. 7, no. 1, pp. 1-13, Jan. 1975.
32. D. Fogel, Evolutionary Computation - Toward a New Philosophy of Machine Intelligence. Piscataway, NJ: IEEE Press, 1995.
33. G. Chen and X. Dong, From Chaos to Order: Perspectives and Applications.
34. X. Wang and G. Chen, "Complex networks: Small-world, scale-free and beyond," IEEE Circuits Syst. Mag., vol. 3, no. 1, pp. 6-20, 2003.
35. O. Kaynak, K. Erbatur, and M. Ertugrul, "The fusion of computationally intelligent methodologies and sliding-mode control: A survey," IEEE Trans. Ind. Electron., vol. 48, no. 1, pp. 4-17, Feb. 2001.
36. H. S. Ramirez and E. C. Morles, "A sliding mode strategy for adaptive learning in Adalines," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 12, pp. 1001-1012, Dec. 1995.
37. M. O. Efe, O. Kaynak, and B. M. Wilamowski, "Stable training of computationally intelligent systems by using variable structure systems technique," IEEE Trans. Ind. Electron., vol. 47, no. 2, pp. 486-496, Apr. 2000.
38. G. G. Parma, B. R. Menezes, and A. P. Braga, "Sliding mode algorithm for training multilayer artificial neural networks," Electron. Lett. vol. 34, no. 1, pp. 97-98, Jan. 1998.
39. M. O. Efe and O. Kaynak, "Stabilizing and robustifying the learning mechanisms of artificial neural networks in control engineering applications," Int. J. Intell. Syst., vol. 15, no. 5, pp. 365-388, 2000.
40. Z. Man, H. Wu, S. Liu, and X. Yu, "A new adaptive backpropagation algorithm based on Lyapunov stability theory for neural networks," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1580-1591, Nov. 2006.
41. H. Morioka, K. Wada, A. Sabanovic, and K. Jezernik, "Neural network based chattering free sliding mode control," in Proc. 34th SICE Annu. Conf., 1995, pp. 1208-1303.
42. K. Jezernik, M. Rodic, M. Saaric, and B. Curk, "Neural network sliding mode robot control," Robotica, vol. 15, no. 1, pp. 23-30, Jan. 1997.
43. M. Ertugrul and O. Kaynak, "Neuro sliding mode control of robotic manipulators," Mechatronics, vol. 10, no. 1/2, pp. 239-263, Feb./Mar. 2000.
44. M. Baric, I. Petrovic, and N. Peric, "Neural network-based sliding mode control of electronic throttle," Eng. Appl. Artif. Intell., vol. 18, no. 8, pp. 951-961, Dec. 2005.
45. Y. Yildiz, A. Sabanovic, and K. S. Abidi, "Sliding-mode neuro-controller for uncertain systems," IEEE Trans. Ind. Electron. vol. 54, no. 3, pp. 1676-1685, Jun. 2007.
46. D. Munoz and D. Sbarbaro, "An adaptive sliding-mode controller for discrete nonlinear systems," IEEE Trans. Ind. Electron., vol. 43, no. 3, pp. 574-581, Jun. 2000.
47. Y. Niu, J. Lam, X. Wang, and D. W. C. Ho, "Sliding-mode control for nonlinear state-delayed systems using neural-network approximation," Proc. Inst. Elect. Eng. - Control Theory Appl., vol. 150, no. 3, pp. 233-239, May 2003.
48. C.-H. Tsai, H.-Y. Chung, and F.-M. Yu, "Neural-sliding mode control with its applications in seesaw systems," IEEE Trans. Neural Netw. vol. 15, no. 1, pp. 124-134, Jan. 2004.
49. S.-J. Huang, K.-S. Huang, and K. C. Chiou, "Development and application of a novel radial basis function sliding mode controller," Mechatronics, vol. 13, no. 4, pp. 313-329, May 2003.
50. Y. Fang, T. W. S. Chow, and X. D. Li, "Use of a recurrent neural network in discrete sliding-mode control," Proc. Inst. Elect. Eng. - Control Theory Appl., vol. 146, no. 1, pp. 84-90, Jan. 1999.
51. C.-M. Lin and C.-F. Hsu, "Neural-network hybrid control for antilock braking systems," IEEE Trans. Neural Netw., vol. 14, no. 2, pp. 351-359, Mar. 2003.
52. B. S. Park, S. J. Yoo, J. B. Park, and Y. H. Choi, "Adaptive neural sliding mode control of nonholonomic wheeled mobile robots with model uncertainty," IEEE Trans. Control Syst. Technol., vol. 17, no. 1, pp. 207-214, Jan. 2003.
53. A. Karakasoglu and M. K. Sundareshan, "A recurrent neural network-based adaptive variable structure model-following control of robotic manipulators," Automatica, vol. 31, no. 10, pp. 1495-1507, Oct. 1995.
54. Y. R. Hwang and M. Tomizuka, "Fuzzy smoothing algorithms for variable structure systems," IEEE Trans. Fuzzy Syst., vol. 2, no. 4, pp. 277-284, Nov. 1994.
55. J. Wu and T. S. Ham, "A sliding-mode approach to fuzzy control design," IEEE Trans. Control Syst. Technol., vol. 4, no. 2, pp. 141-151, Mar. 1996.
56. R.-J. Wai, "Adaptive fuzzy sliding-mode control for electrical servo drive," IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 586-594, Feb. 2007.
57. N. Sadati and R. Ghadami, "Adaptive multi-model sliding mode control of robotic manipulators using soft computing," Neurocomputing, vol. 71, no. 2, pp. 2702-2710, Aug. 2008.
58. R. Palm, "Sliding mode fuzzy control," in Proc. IEEE Conf. Fuzzy Syst., San Diego, CA, 1992, pp. 519-526.
59. M. D. Neyer and R. Gorez, "Use of fuzzy concepts in adaptive sliding mode control," in Proc. IEEE Conf. Syst., Man, Cybern., San Antonio, TX, 1994, pp. 443-447.
60. R. Palm, "Robust control by sliding mode," Automatica, vol. 30, no. 9, pp. 1429-1437, Sep. 1994.
61. S.-Y. Wang, C.-M. Hong, C.-C. Liu, and W.-T. Yang, "Design of a static reactor power compensator using fuzzy sliding mode control," Int. J. Control, vol. 63, no. 2, pp. 393-413, 1996.
62. T.-H. S. Li and M.-Y. Shieh, "Switching-type fuzzy sliding mode control of a cart-pole system," Mechatronics, vol. 10, no. 1, pp. 91-109, Feb. 2000.
63. J.-C. Lo and Y.-H. Kuo, "Decoupled fuzzy sliding-mode control," IEEE Trans. Fuzzy Syst., vol. 6, no. 3, pp. 426-435, Aug. 1998.
64. T. P. Zhang and C. B. Feng, "Fuzzy variable structure control via output feedback," Int. J. Syst. Sci., vol. 28, no. 3, pp. 309-319, 1997.
65. J. S. Glower and J. Munighan, "Designing fuzzy controllers from a variable structures standpoint," IEEE Trans. Fuzzy Syst., vol. 5, no. 1, pp. 138-144, Feb. 1997.
66. Q. P Ha, "Robust sliding mode controller with fuzzy tuning," Electron. Lett., vol. 32, no. 17, pp. 1626-1628, Aug. 1996.
67. N. Yagiz, Y. Hacioglu, and Y. Taskin, "Fuzzy sliding-mode control of active suspensions," IEEE Trans. Ind. Electron., vol. 55, no. 10, pp. 3883-3890, Nov. 2008.
68. C. C. Chen and W. L. Chen, "Robust adaptive sliding mode control using fuzzy modeling for an inverted-pendulum system," IEEE Trans. Ind. Electron., vol. 45, no. 2, pp. 297-306, Apr. 1998.
69. B. Yoo and W. Ham, "Adaptive sliding mode control of nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 6, no. 2, pp. 315-321, May 1998.
70. R.-J.Wai, C.-M. Lin, and C.-F. Hsu, "Adaptive fuzzy sliding-mode control for electrical servo drive," Fuzzy Sets Syst., vol. 143, no. 2, pp. 295-310, Apr. 2004.
71. C. W. Tao, M.-L. Chan, and T.-T. Lee, "Adaptive fuzzy sliding mode controller for linear systems with mismatched time-varying uncertainties," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 33, no. 2, pp. 283-294, Apr. 2003.
72. J. Wang, A. B. Rad, and P. T. Chan, "Indirect adaptive fuzzy sliding mode control, Part I: Fuzzy switching," Fuzzy Sets Syst., vol. 122, no. 1, pp. 21-30, Aug. 2001.
73. M. Sugeno and G. T. Kang, "Fuzzy modeling and control of multilayer incinerator," Fuzzy Sets Syst., vol. 18, no. 3, pp. 329-346, Apr. 1986.
74. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, no. 2, pp. 135-156, Jan. 1992.
75. G. Feng, S. G. Cao, N. W. Rees, and C. K. Chak, "Design of fuzzy control systems based on state feedback," J. Intell. Fuzzy Syst., vol. 3, pp. 203-304, 1995.
76. X. Yu, Z. Man, and B. Wu, "Design of fuzzy sliding-mode control systems," Fuzzy Sets Syst., vol. 95, no. 3, pp. 295-306, May 1998.
77. S. Tong and H. Li, "Fuzzy adaptive sliding-mode control of MIMO nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 11, no. 3, pp. 354-360, Jun. 2003.
78. C.-L. Hwang, "A novel Takagi-Sugeno-based robust adaptive fuzzy sliding-mode controller," IEEE Trans. Fuzzy Syst., vol. 12, no. 5, pp. 676-687, Oct. 2004.
79. Y.-W. Liang, S.-D. Xu, D.-C. Liaw, and C.-C. Chen, "A study of T-S model-based SMC scheme with application to robot control," IEEE Trans. Ind. Electron., vol. 55, no. 11, pp. 3964-3971, Nov. 2008.
80. M.-S. Park, D. Chwa, and S.-K. Hong, "Antisway tracking control of overhead cranes with system uncertainty and actuator nonlinearity using an adaptive fuzzy sliding-mode control," IEEE Trans. Ind. Electron. vol. 55, no. 11, pp. 3972-3984, Nov. 2008.
81. F.-J. Lin, W.-D. Chou, and P.-K. Huang, "Adaptive sliding-mode controller based on real-time genetic algorithm for induction motor servo drive," Proc. Inst. Elect. Eng. - Elect. Power Appl., vol. 150, no. 2, pp. 1-13, Jan. 2003.
82. N. H. Moin, A. S. I. Zinober, and P. J. Harley, "Sliding mode control design using genetic algorithms," in Proc. 1st Int. Conf. Genetic Algorithms Eng. Syst., Innovations, Appl., 1995, pp. 238-244.
83. K. C. Ng, Y. Li, D. J. Murray-Smith, and K. C. Sharman, "Genetic algorithms applied to fuzzy sliding mode controller design," in Proc. 1st Int. Conf. Genetic Algorithms Eng. Syst., Innovations, Appl. 1995, pp. 220-225.
84. Y. Li, K. C. Ng, D. J. MurraySmith, G. J. Gran, and K. C. Sharman, "Genetic algorithm automated approach to the design of sliding mode control systems," Int. J. Control, vol. 63, no. 4, pp. 721-739, 1996.
85. S. C. Lin and Y. Y. Chen, "Design of self-learning fuzzy sliding mode controllers based on genetic algorithms," Fuzzy Sets Syst., vol. 86, no. 2, pp. 139-153, Mar. 1997.
86. N. Zhang, Y. Feng, and X. Yu, "Optimization of terminal sliding mode control for two-link flexible manipulators," in Proc. IEEE IECON, 2004, pp. 1318-1322.
87. C.-H. Tseng, H.-K. Chiang, and C.-A. Chen, "Sliding mode genetic speed control of synchronous reluctance motor," in Proc. IEEE Conf. Syst., Man, Cybern., 2006, pp. 2944-2949.
88. Z. Galias and X. Yu, "Euler's discretization of single input sliding mode control systems," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1726-1730, Sep. 2007.
89. X. Yu, B. Wang, Z. Galias, and G. Chen, "Discretization effect on equivalent control-based MIMO sliding-mode control systems," IEEE Trans. Autom. Control, vol. 53, no. 6, pp. 1563-1569, Jul. 2008.
90. X. H. Xia and A. S. I. Zinober, "Δ-modulated feedback in discretization of sliding mode control," Automatica, vol. 42, no. 5, pp. 771-776, May 2006.
91. F. Da, "Decentralized sliding mode adaptive controller design based on fuzzy neural networks for interconnected uncertain nonlinear systems," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1471-1480, Nov. 2000.
92. F.-J. Lin and P.-H. Shen, "Robust fuzzy neural network sliding-mode control for two-axis motion control system," IEEE Trans. Ind. Electron., vol. 53, no. 4, pp. 1209-1225, Jun. 2006.
93. F.-J. Lin, W.-J. Hwang, and R.-J. Wai, "A supervisory fuzzy neural network control system for tracking periodic inputs," IEEE Trans. Fuzzy Syst., vol. 7, no. 1, pp. 41-52, Feb. 1999.
94. X. Yu, S. Yu, and Z. Man, "A fuzzy neural network approximator with fast terminal sliding mode and its applications," Fuzzy Sets Syst. vol. 148, no. 3, pp. 469-486, Dec. 2004.
95. A. Ferrara and V. I. Utkin, "Constrained optimization via sliding modes in dynamic linear systems," in Proc. 42nd IEEE Conf. Decision Control], 2003, pp. 2977-2981.
96. M. P. Glazos, S. Hui, and S. H. Zak, "Sliding modes in solving convex programming problems," SIAM J. Control Optim., vol. 36, no. 2, pp. 680-697, Mar. 1998.
97. J. Baillieul and P. J. Antsaklis, "Control and communication challenges in networked real-time systems," Proc. IEEE, vol. 95, no. 1, pp. 9-28, Jan. 2007.