Optimal and reinforced robustness designs of fuzzy variable structure tracking control for a piezoelectric actuator system

IEEE Transactions on Fuzzy Systems

Volumn 11, Issue 4, 2003, Pages 507-517

  Hwang, Chih Lyang ^a   Jan, Chau ^a  

^a TATUNG UNIVERSITY   (Taiwan)

Author keywords

Dead beat control; Discrete time variable structure control; Fuzzy linear pulse transfer function (FLPTF); Lyapunov stability theory; Piezoelectric actuator (PEA) system; Sensitivity minimization in H norm space

Indexed keywords

ACTUATORS; APPROXIMATION THEORY; LYAPUNOV METHODS; NONLINEAR SYSTEMS; PIEZOELECTRIC DEVICES; ROBUSTNESS (CONTROL SYSTEMS); TRANSFER FUNCTIONS;

PIEZOELECTRIC ACTUATORS;

FUZZY SETS;

EID: 0038537454     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2003.814838     Document Type: Article

References (18)

1. Y. Okazaki, "A micro-positioning tool post using piezoelectric actuator for diamond turning machines," Precision Eng., vol. 12, no. 3, pp. 151-156, 1990.
2. A. B. Palazzolo, S. Jagannathan, A. F. Kascak, G. T. Montague, and L. J. Kiraly, "Hybrid active vibration control of rotor bearing systems using piezoelectric actuators," ASME J. Vibrat. Acoust., vol. 115, pp. 111-119, 1993.
3. C. J. Li, H. S. M. Beigi, S. Li, and J. Liang, "Nonlinear piezo-actuator control by learning self-tuning regulator," ASME J Dyna. Syst. Meas. Control, vol. 115, pp. 720-723, 1993.
4. S. B. Jung and S. W. Kim, "Improvement of scanning accuracy of PZT piezoelectric actuator by feed-forward model-reference control," Precision Eng., vol. 16, no. 1, pp. 49-55, 1994.
5. G. Tao and P. V. Kokotovic, "Adaptive control of plants with unknown hysteresis," IEEE Trans. Automat. Contr., vol. 40, pp. 200-212, Feb. 1995.
6. P. Ge and M. Jouaneh, "Tracking control of a piezoceramic actuator," IEEE Trans. Contr. Syst. Technol., vol. 4, pp. 209-216, Mar. 1996.
7. ∞ almost disturbance decoupling robust controller design for a piezoelectric bimorph actuator with hysteresis," IEEE Trans. Contr. Syst. Technol., vol. 7, pp. 160-174, Feb. 1999.
8. C. L. Hwang, C. Jan, and Y. H. Chen, "Piezomechanics using intelligent variable structure control," IEEE Trans. Ind. Electron., vol. 48, pp. 47-59, Feb. 2001.
9. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man. Cybern., vol. SMC-15, pp. 116-132, Feb. 1985.
10. ∞ control theory, and linear matrix inequality," IEEE Trans. Fuzzy Syst., vol. 4, pp. 1-13, Feb. 1996.
11. B. S. Chen, C. S. Tsen, and H. J. Uang, "Robustness design of nonlinear dynamic systems via fuzzy linear control," IEEE Trans. Fuzzy Syst., vol. 7, pp. 571-585, Oct. 1999.
12. T. A. Johansen, R. Shorten, and R. Murray-Smith, "On the interpretation and identification of dynamic Takagi-Sugeno fuzzy models," IEEE Trans. Fuzzy Syst., vol. 8, pp. 297-313, June 2000.
13. K. J. Aström and B. Wittenmark, Computer-Controlled Systems - Theory and Design, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 1997.
14. M. Vidyasagar, Control System Synthesis - A Factorization Approach, Cambridge, MA: MIT Press, 1985.
15. C. L. Hwang, "A fuzzy-linear-model-based variable structure control for nonlinear discrete-time systems," in Proc. IEEE Int. Conf. Industrial Electronics, Control Instrumentation, Nagoya, Japan, Oct. 22-28, 2000, pp. 536-541.
16. ∞ Control Theory. Berlin. Germany: Springer-Verlag, 1987, Lecture Notes in Control and Information Sciences.
17. ∞-norm space," in Proc. Inst. Elect. Eng. D - Control Theory Applications, vol. 135, 1988, pp. 295-301.
18. C. L. Hwang, "Robust discrete variable structure control with finite-time approach to switching surface," Automatica, vol. 38, no. 1, pp. 167-175, 2002.