Variable Structure Control

Topics: Control theory, Sliding mode control, Control engineering Pages: 72 (16114 words) Published: August 31, 2010
2 IEEE TRANSACTIONSON INDUSTRIAL ELECTRONICS,VOL. 40, NO. 1, FEBRUARY 1993 Variable Structure Control: A Survey John Y. Hung, Member, IEEE, Weibing Gao, SeniorMember, IEEE, and James C. Hung, Fellow, IEEE Abstract-A tutorial account of variable structure control with brief discussions about its historical development are pre- sliding mode is presented in this paper. The purpose is to sented. introduce in a concise manner the fundamental theory, main results, and practical applications of this powerful control sys- A. The Basic Notion of VSC tem design approach. This approach is particularly attractive The basic idea of VSC was originally illustrated by a for the control of nonlinear systems. Prominent characteristics such as invariance, robustness, order reduction, and control second-order system [431, [ 1541 similar to the following chattering are discussed in detail. Methods for coping with X=y chattering are presented. Both linear and nonlinear systems are considered. Future research areas are suggested and an exten- +U 2y -x y = (la) sive list of references is included.

-*x U = where * CONVENTIONS SYMBOLS FOR 4 when s ( x , y ) > 0 = Capital, italic letters represent matrices, e.g., A and K . (1b) when s ( x , y ) < 0 = -4 Boldface, roman lower-case letters represent vectors, e.g., a and k. and Lower-case, italic letters represent scalars, e.g., a and s(x,y) = X U , u=0.5x+y. (IC) k.

A block diagram of the system is shown in Fig. l(a). The...

References: M. Aicardi, G. Bartolini, and G. Casalino, “Dynamic control of
Automat., Phoenix, AZ, 1989, pp
Motion Control, 1990, pp. 703-708.
trollers,” Proc. IEE, Pt. D , vol. 128, no. 5, pp. 269-279, 1981.
pp. 287-293, 1973.
vol. 39, no. 6, pp. 1339-1349. alleviation of variable structure systems control,” IEE Proc., Pt.
-, “Decentralized PD controller for tracking control of uncer- D , vol. 137, no. 1, pp. 31-39, 1990.
tain multivariable systems,” in Proc. IFAC Identification and Y. H. Chan, “On the deterministic performance of uncertain
System Parameter Estimation, 1985, York, UK, 1985, pp
1907-1911. 1986.
1985. Sinica, Series A , vol. 10, no. 3, pp. 126-133 (in Chinese), 1989.
mation, 1985, York, UK, pp. 1895-1899.
Motion Control, 1990, pp. 719-722.
tem,” IEEE Trans. Auto. Contr., vol. AC-26, no. 5, pp. 1139-1144,
Lett., vol
structure control of nonlinear multivariable systems: A tutorial,”
559-568, 1984.
Proc. IEEE, vol. 76, no. 3, pp. 212-232, 1988.
Contr. Optim., vol. 21, pp. 246-255, 1983.
UK, 1985, pp. 1901-1905.
systems,” Int. J . Syst. Sci., vol. 20, no. 12, pp. 2471-2481, 1989.
pp. 65-82, 1986.
42-62, 1986.
.. Y ,
Authorized licensed use limited to: College of Engineering - Trivandrum. Downloaded on October 27, 2009 at 01:50 from IEEE Xplore. Restrictions apply.
systems,” Automatica, vol. 5, pp. 287-295, 1969. uncertain dynamical systems,” SIAM J . Contr. Optimization, vol.
T. A. W. Dwyer, 111, and H. Sira-Ramirez, “Variable-structure 20, no. 6, pp. 850-861, 1982.
T. A. W. Dwyer, 111, H. Sira-Ramirez, S. Monaco, and S. Stornelli, Conf. Decision and Control, Athens, Greece, pp. 312-316, 1986.
Control, 1987, 1281-1287. Trans. Ind. Electron., vol. IE-32, no. 3, pp. 238-244, 1985.
S. V. Emelyanov, Variable Structure Control Systems. Moscow: H. Hashimoto and F. Harashima, “Variable structure strategy in
Nauka (in Russian), 1967
(in Russian), 1970. H. Hashimoto, V. I. Utkin, J. X. Xu, H. Suzuki, and F. Ha-
hydroelectric power station using variable structure control sys- IEEE Ind. Electron. Conf. ’90, 1990, pp. 34-39.
tems,” Automatica, vol. 10, pp. 31-36, 1974. H. Hashimoto, H. Yamamoto, S. Yanagisawa, and F. Harashima,
systems by state space techniques,” JACC, pp. 572-581, 1968. approach,” IEEE Trans. Industry Applications, vol. 24, no. 1, pp.
M. D. Espana, R. S. Ortega, and J. J . Espino, “Variable structure 160-170, 1988.
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