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http://dx.doi.org/10.5370/KIEE.2010.59.3.623

A New Robust Variable Structure Controller with Nonlinear Integral-Type Sliding Surface for Uncertain Systems with Mismatched Uncertainties and Disturbance  

Lee, Jung-Hoon (경상대학교 공대 제어계측공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.59, no.3, 2010 , pp. 623-629 More about this Journal
Abstract
In this paper, a new robust variable structure controller based on a nonlinear integral type sliding surface is presented for the control of uncertain systems with mismatched uncertainties and disturbance. A nonlinear integral type sliding surface is suggested for removing the reaching phase. After its ideal sliding dynamics is obtained, the two design methods are presented. A corresponding control input is proposed to satisfy the closed loop stability in the sense of Lyapunov and the existence condition of the sliding mode on the nonlinear integral type sliding surface, which will be investigated in Theorem 1. Through a design example and simulation study, the usefulness of the proposed controller is verified.
Keywords
Variable structure system; Sliding mode control; Nonlinear integral type sliding surface; Mismatched uncertainties;
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Times Cited By SCOPUS : 3
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1 J. H. Lee and M. J. Youn, "An Integral-Augmented Optimal Variable Structure Control for Uncertain Dynamical SISO System, KIEE(The Korean Institute of Electrical Engineers), vol.43, no.8, pp.1333-1351, 1994.
2 A. Y. Sivaramakrishnan, M. Y. Harikaran, and M. C. Srisailam, " Design of Variable Structure Load Frequency cntroller Using Pole Assignment Technique," Int. J. Control, vol,40 no.3, pp. 487-498, 1984.   DOI   ScienceOn
3 C. M. Dorling and A. S. I. Zinober, "Two Approaches to Hyperplane Design in Multivariable Variable Structure Control systems," Int. J. Control, vol,44 no.1, pp. 65-82 1986.   DOI   ScienceOn
4 J. D. Wang, T. L. Lee and Y. T. Juang, "New Methods to Design an Integral Variable Structure Controller," IEEE T. Automatic Control, vol.41, no.9 pp140-143, 1996.   DOI   ScienceOn
5 J. Ackermann and V. I. Utkin, "Sliding Mode Control Design based on Ackermann's Formula," IEEE T. Automatic Control, vol.43, no.9 pp.234-237, 1998.   DOI   ScienceOn
6 H. H. Choi, " An Explicit formula of Linear Sliding Surfaces for a Class of Uncertain Dynamic Systems with Mismatched Uncertainties," Automatica, vol.34 no.8 pp1015-1020,1998.   DOI   ScienceOn
7 J. H. Lee, "A New Robust Variable Structure Controller with Nonlinear Integral-Type Sliding Surface for Uncertain Systems with Mismatched Uncertainties and Disturbance," KIEE,(to be appear)
8 K. Yeung, C. Cjiang, and C. Man Kwan, "A Unifying Design of Sliding Mode and Classical Controller" IEEE T. Automatic Control, vol.38, no.9 pp1422-1427, 1993.   DOI   ScienceOn
9 B. Drazenovic, "The invariance conditions in variable structure systems," Automatica, 1969, (5), pp.287-295.
10 S. Gutman, "Uncertain Dynamical systems-A Lyapunov Min-Max Approach," IEEE T. Automatic Control, vol.24, no.3 pp437-443,1979.   DOI
11 V. I. Utkin and J. Shi, "Integral sliding Mode in System Operating Under Uncertainty Conditions," Proc. 35rd IEEE Conference on CDC, pp.4591-4596, 1996.
12 V.I. Utkin, Sliding Modes and Their Application in Variable Structure Systems. Moscow, 1978.
13 V. I. Utkin and K. D. Yang, "Methods for Constructing Discontinuity Planes in Multidimentional Variable Structure Systems," Automat. Remote Control, vol. 39 no. 10 pp.1466-1470, 1978.
14 D. M. E. El-Ghezawi, A. S. I. and S. A. Bilings, "Analysis and Design of Variable Structure Systems Using a Geometric Approach," Int. J. Control, vol,38, no.3 pp.657-671,1 1983.   DOI   ScienceOn
15 J. H. Lee, "A New Robust Variable Structure Controller with Nonlinear Integral-Type Sliding Surface for Uncertain Systems with Mismatched Uncertainties and Disturbance," KIEE,(to be appear)
16 J. H. Lee, "Highly robust position control of BLDDSM using an improved integral variable structure system," Automatica, vol.42,, pp.929-935, 2006   DOI   ScienceOn
17 T. Acarman and U. Ozguner, "Relation of Dynamic Sliding surface Design and High Order Sliding Mode Controllers," Proc. 40th IEEE Conference on CDC, pp.934-939, 2001.
18 S. C. Chung and C. L. Lin, "A General Class of Sliding Surface for Sliding Mode Control," IEEE T. Automatic Control, vol.43, no.1 pp115-119, 1998.   DOI   ScienceOn
19 J. H. Lee, at el, Continuous Variable Structure Controller for BLDDSM Position Control with Prescribed Tracking Performance," IEEE T. Industrial Electronics, vol.41,no.5 pp.483491, 1994   DOI   ScienceOn
20 H. H. Choi, " LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems, IEEE T. Automatic Control, vol.52, no.2 pp736-742, 2007.   DOI
21 J. H. Lee, "A new improved integral variables structure system for uncertain systems, Proc. Of 4th Asia-Pacific Conference on Control & Measurement, Guilin-China, pp.176-181, 2000.
22 S. R. Hebertt, "Differential Geometric Methods in Variable Structure Control," Int. J. Control, vol,48 no.4, pp.1359-1390, 1988.   DOI   ScienceOn
23 T. L. Chern and Y. C. Wu, "An Optimal Variable Structure control with Integral Compensation for Electrohydraulic postion Servo Control Systems," IEEE T. Industrial Electronics, vol.39, no.5 pp460-463, 1992.   DOI   ScienceOn
24 S. K. park and H. K. Ahn, "Robust controller Design with Novel Sliding Surface,' IEE Proc. Control Theory Appl. vol.146, no.3 pp.242-246,1999.   DOI   ScienceOn
25 R. A. Decarlo, S. H. Zak, and G. P. Mattews, "Variable Structure Control of Nonlinear Multivariable Systems: A Tutorial," Proc. IEEE, 1988, 76, pp.212-232.
26 K. D. Young, V. I. Utkin, U. Ozguner, "A Control Engineer's Guide to Sliding Mode Control," 1996 IEEE Workshop on Variable Structure Systems, pp.1-14
27 R. DeCarlo and S. Drakunov, "Sliding Mode Control Design via Lyapunov Approach," Proc. 33rd IEEE Conference on CDC, pp.1925-1930, 1994.
28 W. C. Su S. V. Drakunov, and U. Ozguner, "Constructing Discontinuity Surfaces for Variable Structure Systems: A Lyapunov Approach," Automatica, vol.32 no.6 pp.925-928,1996   DOI   ScienceOn
29 W. J. Cao and J. X. Xu, "Nonlinear Integral-Type Sliding Surface for Both Matched and Unmatched Uncertain Systems," IEEE T. Automatic Control, vol.49, no83 pp1355-1360,2004.   DOI   ScienceOn
30 S. Laghrouche, F. Plestan, and a. Glumineau, "Higher Order Sliding Mode Control Based on Integral sliding Mode, Automatica, vol. 43, pp.531-537, 2007.   DOI   ScienceOn
31 J. H. Lee, "A New Robust Digital Sliding Mode Control with Disturbance Observer for Uncertain Discrete Systems," IKEEE(To be appear in 2010)
32 X. Y. Lu and S. K. Spurgeon, "Robust Sliding Mode Control of Uncertain Nonlinear System," System & control Letters, vol.32, pp.75-90, 1997.   DOI   ScienceOn