A study of T-S model-based SMC scheme with application to robot control

IEEE Transactions on Industrial Electronics

Volumn 55, Issue 11, 2008, Pages 3964-3971

  Liang, Yew Wen ^a   Xu, Sheng Dong ^a   Liaw, Der Cherng ^a   Chen, Cheng Chang ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Robot manipulators; Robust control; Sliding mode control (SMC); Takagi Sugeno (T S) fuzzy system model

Indexed keywords

DIFFRACTIVE OPTICAL ELEMENTS; FEEDBACK CONTROL; FLEXIBLE MANIPULATORS; FUZZY LOGIC; FUZZY SYSTEMS; INDUSTRIAL ROBOTS; MACHINE DESIGN; MANIPULATORS; MODEL STRUCTURES; MODULAR ROBOTS; ROBOT APPLICATIONS; ROBOTICS; ROBOTS; ROBUST CONTROL; SEMICONDUCTOR DEVICE MODELS; SLIDING MODE CONTROL;

ANALYTICAL RESULTS; COMPUTATIONAL BURDENS; FUZZY SYSTEM MODELING; NONLINEAR TERMS; NUMEROUS APPLICATIONS; OFFLINE; ONLINE COMPUTES; ORDER SYSTEMS; RAPID RESPONSES; ROBOT CONTROLS; ROBOT MANIPULATORS; ROBUST CONTROLLERS; SIMULATION RESULTS; SLIDING MODES; SLIDING-MODE CONTROL (SMC); SYSTEM PARAMETERS; T-S FUZZY SYSTEMS; T-S MODELS; TAKAGI-SUGENO (T-S) FUZZY SYSTEM MODEL;

CONTROL THEORY;

EID: 56349157628     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2008.2005138     Document Type: Article

References (32)

1. G. Bartolini, A. Ferrara, E. Usai, and V. I. Utkin, "On multi-input chattering-free second-order sliding mode control," IEEE Trans. Ind. Electron., vol. 45, no. 9, pp. 1711-1717, Sep. 2000.
2. A. Bartoszewicz, "Discrete-time quasi-sliding-mode control strategies," IEEE Trans. Ind. Electron., vol. 45, no. 4, pp. 633-637, Aug. 1998.
3. I. Batyrshin, O. Kaynak, and I. Rudas, "Fuzzy modeling based on generalized conjunction operations," IEEE Trans. Fuzzy Syst., vol. 10, no. 5, pp. 678-683, Oct. 2002.
4. M. L. Corradini and G. Orlando, "Actuator failure identification and compensation through sliding modes," IEEE Trans. Control Syst. Technol., vol. 15, no. 1, pp. 184-190, Jan. 2007.
5. C.-C. Cheng and S.-H. Chien, "Adaptive sliding mode controller design based on T-S fuzzy system models," Automatica, vol. 42, no. 6, pp. 1005-1010, Jun. 2006.
6. K.-H. Cheng, C.-F. Hsu, C.-M. Lin, T.-T. Lee, and C. Li, "Fuzzy-neural sliding-mode control for DC-DC converters using asymmetric Gaussian membership functions," IEEE Trans. Ind. Electron., vol. 54, no. 3, pp. 1528-1536, Jun. 2007.
7. 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. 487-496, Apr. 2000.
8. F. Esfandiari and H. K. Khalil, "Stability analysis of a continuous implementation of variable structure control," IEEE Trans. Autom. Control, vol. 36, no. 5, pp. 616-620, May 1991.
9. G. Feng, "A survey on analysis and design of model-based fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006.
10. F.-H. Hsiao, J.-D. Hwang, C.-W. Chen, and Z.-R. Tsai, "Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 152-163, Feb. 2005.
11. 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.
12. H. K. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 2002.
13. S. Khoo, Z. Man, and S. Zhao, "Sliding mode control of fuzzy dynamic systems," in Proc. ICARCV, Singapore, Dec. 5-8, 2006, pp. 1-6.
14. K.-Y. Lian, C.-H. Chiang, and H.-W. Tu, "LMI-based sensorless control of permanent-magnet synchronous motors," IEEE Trans. Ind. Electron. vol. 54, no. 5, pp. 2769-2778, Oct. 2007.
15. Y.-W. Liang and S.-D. Xu, "Reliable control of nonlinear systems via variable structure scheme," IEEE Trans. Autom. Control, vol. 51, no. 10, pp. 1721-1725, Oct. 2006.
16. Y.-W. Liang, S.-D. Xu, and C.-L. Tsai, "Study of VSC reliable designs with application to spacecraft attitude stabilization," IEEE Trans. Control Syst. Technol., vol. 15, no. 2, pp. 332-338, Mar. 2007.
17. D.-C. Liaw and J.-T. Huang, "Contact friction compensation for robots using genetic learning algorithm," J. Intell. Robot. Syst., vol. 23, no. 2-4, pp. 331-349, Oct. 1998.
18. F.-J. Lin, L.-T. Teng, and P. H. Shieh, "Intelligent sliding-mode control using RBFN for magnetic levitation system," IEEE Trans. Ind. Electron., vol. 54, no. 3, pp. 1752-1762, Jun. 2007.
19. C. Lin, Q.-G. Wang, and T. H. Lee, "Stabilization of uncertain fuzzy time-delay systems via variable structure control approach," IEEE Trans. Fuzzy Syst., vol. 13, no. 6, pp. 787-798, Dec. 2005.
20. C.-K. Lin, "Nonsingular terminal sliding mode control of robot manipulators using fuzzy wavelet networks," IEEE Trans. Fuzzy Syst. vol. 14, no. 6, pp. 849-859, Dec. 2006.
21. J.-J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
22. M. W. Spong and M. Vidyasagar, Robot Dynamics and Control. New York: Wiley, 1989.
23. C.-Y. Su and T.-P. Leung, "A sliding mode controller with bounded estimation for robot manipulators," IEEE Trans. Robot. Autom., vol. 9, no. 2, pp. 208-214, Apr. 1993.
24. C.-H. Sun andW.-J.Wang, "An improved stability criterion for T-S fuzzy discrete systems via vertex expression," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 36, no. 3, pp. 672-678, Jun. 2006.
25. F. Sun, L. Li, H.-X. Li, and H. Liu, "Neuro-fuzzy dynamic-inversion-based adaptive control for robotic manipulators - Discrete time case," IEEE Trans. Ind. Electron., vol. 54, no. 3, pp. 1342-1351, Jun. 2007.
26. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan./Feb. 1985.
27. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. New York: Wiley, 2001.
28. C.-S. Tseng, B.-S. Chen, and H.-J. Uang, "Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model," IEEE Trans. Fuzzy Syst., vol. 9, no. 3, pp. 381-392, Jun. 2001.
29. R.-J. Wai, "Fuzzy sliding-mode control using adaptive tuning technique," IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 586-594, Feb. 2007.
30. 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.
31. Y. Zhang, S. S. Ge, and T. H. Lee, "A unified quadratic-programming-based dynamical system approach to joint torque optimization of physically constrained redundant manipulators," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, no. 5, pp. 2126-2132, Oct. 2004.
32. F. Zheng, Q.-G. Wang, and T. H. Lee, "Output tracking control of MIMO fuzzy nonlinear systems using variable structure control approach," IEEE Trans. Fuzzy Syst., vol. 10, no. 6, pp. 686-697, Dec. 2002.