Piecewise fuzzy anti-windup dynamic output feedback control of nonlinear processes with amplitude and rate actuator saturations

IEEE Transactions on Fuzzy Systems

Volumn 17, Issue 2, 2009, Pages 253-264

  Zhang, Tiejun ^a   Feng, Gang ^a   Liu, Huaping ^b   Lu, Jianhong ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b TSINGHUA UNIVERSITY   (China)

^c SOUTHEAST UNIVERSITY   (China)

Author keywords

Actuator saturation; Amplitude and rate constraints; Anti windup; Dynamic output feedback; Fuzzy systems; Linear matrix inequality (LMI); Piecewise quadratic Lyapunov function; Process control

Indexed keywords

ACTUATOR SATURATION; AMPLITUDE AND RATE CONSTRAINTS; ANTI-WINDUP; DYNAMIC OUTPUT FEEDBACK; LINEAR MATRIX INEQUALITY (LMI); PIECEWISE QUADRATIC LYAPUNOV FUNCTION;

ACTUATORS; CONSTRAINED OPTIMIZATION; CONVEX OPTIMIZATION; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; FEEDBACK; FEEDBACK CONTROL; FUZZY CONTROL; FUZZY LOGIC; FUZZY SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; ROBUST CONTROL;

PROCESS CONTROL;

EID: 65549123765     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2008.924238     Document Type: Article

References (33)

1. B. W. Bequette, Process Control: Modeling, Design, and Simulation. Upper Saddle River, NJ: Prentice-Hall, 2003.
2. M. A. Henson and D. E. Seborg, Nonlinear Process Control. Upper Saddle River, NJ: Prentice-Hall, 1997.
3. K. M. Hangos, J. Bokor, and G. Szederkenyi, Analysis and Control of Nonlinear Process Systems. London: Springer-Verlag, 2004.
4. A. Swarnakar, H. J. Marquez, and T. Chen, "Robust stabilization of nonlinear interconnected systems with application to an industrial utility boiler," Control Eng. Practice, vol. 15, no. 6, pp. 639-654, Jun. 2007.
5. 1-optimal control for boiler-turbine dynamics with actuator saturation," J. Process Control, vol. 14, pp. 263-277, 2004.
6. C. Scherer, P. Gahinet, and M. Chilali, "Multiobjective output-feedback control via LMI optimization," IEEE Trans. Autom. Control, vol. 42, no. 7, pp. 896-911, Jul. 1997.
7. L. Yu and F. Gao, "Output feedback guaranteed cost control for uncertain discrete-time systems using linear matrix inequalities," J. Optim. Theory Appl., vol. 113, no. 3, pp. 621-634, Jun. 2002.
8. J. Daafouz and J. Bernussou, "Robust dynamic output feedback control for switched systems," in Proc. 41st IEEE Conf. Decision Control, Las Vegas, NV, 2002.
9. ∞ control of discrete-time systems with polytopic uncertainties via dynamic output feedback," Int. J. Control, vol. 78, no. 16, pp. 1285-1294, Nov. 2005.
10. V. Kapila and K. M. Grigoriadis, Eds., Actuator Saturation Control New York: Marcel Dekker, 2002.
11. T. Hu and Z. Lin, Control Systems With Actuator Saturation: Analysis and Design. Boston, MA: Birkhauser, 2001.
12. Y.-Y Cao, Z. Lin, and D. G. Ward, "An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation," IEEE Trans. Autom. Control, vol. 47, no. 1, pp. 140-145, Jan. 2002.
13. I. E. Kose and F. Jabbari, "Scheduled controllers for linear systems with bounded actuators," Automatica, vol. 39, pp. 1377-1387, 2003.
14. J. M. Gomes da Silva, Jr. and S. Tarbouriech, "Antiwindup design with guaranteed regions of stability: An LMI-based approach," IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 106-111, Jan. 2005.
15. J. M. Gomes da Silva, Jr. and S. Tarbouriech, "Anti-windup design with guaranteed regions of stability for discrete-time linear systems," Syst. Control Lett., vol. 55, pp. 184-192, 2006.
16. J. M. Gomes da Silva, Jr., D. Limon, and T. Alamo, "Dynamic output feedback for discrete-time systems under amplitude and rate actuator constraints," in Proc. 44th IEEE Conf. Decision Control, 2005, pp. 5588-5593.
17. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modelling and control," IEEE Trans. Syst., Man, Cybern., vol. 15, no. 1, pp. 116-132, Jan. 1985.
18. 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, no. 3, pp. 297-313, Jun. 2000.
19. S. G. Cao, N. W. Rees, and G. Feng, "Analysis and design for a class of complex control systems, Part I-II," Automatica, vol. 33, pp. 1017-1039, 1997.
20. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. New York: Wiley, 2001.
21. 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.
22. M. C. M. Teixeira and S. H. Zak, "Stabilizing controller design for uncertain nonlinear system using fuzzy models," IEEE Trans. Fuzzy Syst., vol. 7, no. 2, pp. 133-142, Apr. 1999.
23. ∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI," Automatica vol. 39, pp. 1571-1582, 2003.
24. C. Lin, Q.-G. Wang, and T. H. Lee, "Improvement on observer-based H ∞ control for T-S fuzzy systems," Automatica, vol. 41, pp. 1651-1656, 2005.
25. G. Feng, "Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions," IEEE Trans. Fuzzy Systems vol. 12, no. 1, pp. 22-28, Feb. 2004.
26. ∞ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 35, no. 1, pp. 94-103, Feb. 2005.
27. M. Johansson, Piecewise Linear Control Systems: A Computational Approach. Berlin, Germany: Springer-Verlag, 2003.
28. G. Feng, "Stability analysis of piecewise discrete-time linear systems," IEEE Trans. Autom. Control, vol. 47, no. 7, pp. 1108-1112, Jul. 2002.
29. ∞ guidance law with saturation of actuators against maneuvering targets," IEEE Trans. Control Syst. Tech., vol. 10, no. 6, pp. 769-779, Nov. 2002.
30. Y. Y. Cao and Z. L. Lin, "Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation," IEEE Trans. Fuzzy Syst., vol. 11, no. 1, pp. 57-67, Feb. 2003.
31. ∞ fuzzy control design for nonlinear systems subject to actuator saturation," in Proc. IEEE Int. Conf. Fuzzy Syst., 2006, pp. 783-788.
32. J. C. Lo and M. L. Lin, "Feedback control via Popov for fuzzy systems with input saturations," in Proc. IEEE Int. Conf. Fuzzy Syst., 2004, pp. 1221-1226.
33. Y. Y. Cao, Z. Lin, and D. G. Ward, "Anti-windup design of output tracking systems subject to actuator saturation and constant disturbances," Automatica, vol. 40, pp. 1221-1228, 2004.