Indirect Adaptive Fuzzy Sliding Mode Control and Application to Tank Pressurization System

Abstract:

An indirect adaptive fuzzy sliding mode control scheme for a class of discrete-time systems with model uncertainty and external disturbance is developed. In this approach, a discrete-time exponential reaching law is used to obtain the ideal sliding mode control law. Then, two fuzzy systems and a third one are used to approximate unknown functions of the system and the switch-type control in the ideal control law, respectively, wherein the consequent parameters are adjusted by an on-line adaptation law with parameter projection. Towards to Tank pressurization system, experiment results have shown the effectiveness of the algorithm.

• Periodical: Applied Mechanics and Materials (Volumes 313-314)
• Pages: 403-408
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.313-314.403
• Online since: March 2013
• Authors: Fan Rong Xu, Zheng Wang, Hong Zhi Yu
• Keywords: Adaptive Fuzzy Control, Discrete-Time Systems, Sliding Mode Control, Tank Pressurization System

References

[1] V.I. Utkin, Variable structure systems with sliding mode. IEEE Trans. Automat. Control AC-22 (2) (1977) 212–222.

DOI: 10.1109/tac.1977.1101446

[2] J.J.E. Slotine, Weiping Li. Applied Nonlinear Control. Englewood Cliffs, N.J: Prentice Hall, 1991.

[3] Young KD, Utkin VI, and Ozguner U. A control engineer's guide to sliding mode control. IEEE Trans. on Control Systems Technology 1999; 7 (3); 328-342.

DOI: 10.1109/87.761053

[4] Utkin VI. Sliding Modes in Control Optimization, Springer Verlag: New York, 1992.

[5] J. Wang, A.B. Rad, P.T. Chan, Indirect adaptive fuzzy sliding mode control — Part I: fuzzy switching, Fuzzy Sets and Systems 122 (2001) 21–30.

DOI: 10.1016/s0165-0114(99)00179-7

[6] P.T. Chan, A.B. Rad, J. Wang. Indirect adaptive fuzzy sliding mode control —Part II: parameter projection and supervisory control, Fuzzy Sets and Systems 122 (2001) 31–43.

DOI: 10.1016/s0165-0114(99)00180-3

[7] W Gao, Y Wang, Homaifa A. Discrete-time variable structure control systems. IEEE Transactions on Industrial Electronics, 1995, 42(2): 117-122.

DOI: 10.1109/41.370376

[8] Furuta K. Sliding mode control of a discrete system. Systems and Control Letters, 1990, 14(2): 145 – 152.

DOI: 10.1016/0167-6911(90)90030-x

[9] GAO W B, WANG Y F, HOMAIFA A. Discrete-time variable structure control systems. IEEE Trans on Industrial Electronics, 1995, 42(2): 117 – 122.

DOI: 10.1109/41.370376

[10] LIU Jin-kun, SUN Fu-chun. Research and development on theory and algorithms of sliding mode control. Control theory and Applications, 2007, 24 (3): 407-418.

[11] Shi W X. Indirect adaptive fuzzy control for a class of nonlinear discrete-time systems. Journal of Systems Engineering and Electronics. 2008, 19 (6): 1203-1207.

DOI: 10.1016/s1004-4132(08)60220-0

[12] X. Chen and T. Fukuda, Robust adaptive quasi-sliding mode controller for discrete-time systems. Systems and Control Letters, 1998, 35(3): 165-173.

DOI: 10.1016/s0167-6911(98)00048-6

[13] Yu Hongzhi, Li Jianxun, Yu Nong. Indirect Adaptive Fuzzy Sliding Mode Control for a Class of Discrete-Time Systems. 2011 International Conference on Opto-Electronics Engineering and Information Science (ICOEIS 2011). Xi'an China, 2011,vol 11, pp.1845-1849.

[14] Zhang yulin,Liu kun ,Cheng moushen. Mechanics Theory and Application of LIQUID ROCKET ENGINE [M]. Bejing：Science publishing company,2005.

[15] Wang mingdi,RESEARCHING FOR TANK PRESSURIZATION SYSTEM OF LIQUID ROCKET ENGINE TEST-BED [D],shanghai Jiaotong university,2009.