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Title: Design of reaching phase for variable structure controller based on SVD method (English)
Author: Ray, Goshaidas
Author: Dey, Sitansu
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 40
Issue: 2
Year: 2004
Pages: [233]-256
Summary lang: English
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Category: math
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Summary: This paper considers a design of variable structure with sliding mode controller for a class of uncertain dynamic system based on Singular Value Decomposition (SVD) method. The proposed method reduces the number of switching gain vector components and performs satisfactorily while the external disturbance does not satisfy the matching conditions. Subsequently the stability of the global system is studied and furthermore, the design of switched gain matrix elements based on fuzzy logic approach provides useful results for smooth control actions and decreases the reaching phase time. The efficacy of the proposed method is demonstrated by considering an interconnected power system problem. (English)
Keyword: reaching-phase
Keyword: sliding mode
Keyword: matching condition
Keyword: singular value decomposition
Keyword: fuzzy logic
Keyword: Lyapunov function
MSC: 93B12
MSC: 93C42
MSC: 93C95
MSC: 93D30
idZBL: Zbl 1249.93031
idMR: MR2069181
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Date available: 2009-09-24T20:00:57Z
Last updated: 2015-03-23
Stable URL: http://hdl.handle.net/10338.dmlcz/135591
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Reference: [1] Bag S. K., Spurgeon S. K., Edwards C.: Output feedback sliding mode design for linear uncertain systems.IEE Proc. D, Control Theory Appl. 144 (1997), 209–216 Zbl 0887.93011, 10.1049/ip-cta:19971122
Reference: [2] Chen C. L., Chang M. H.: Optimal design of fuzzy sliding mode control: A comparative study.Fuzzy Sets and Systems 93 (1998), 37–48
Reference: [3] DeCarlo R. A., Zak S. H., Matthews G. P.: Variable structure control of nonlinear multivariable systems: a tutorial.Proc. IEEE 76 (1988), 212–232
Reference: [4] Edwarda C., Spurgeon S. K.: Sliding Mode Control: Theory and Applications.Taylor and Francis Ltd., 1998
Reference: [5] Fosha C. E., Elgerd O. I.: The megawatt-frequency control problem: A new approach via optimal control theory.IEEE Trans. Power Apparatus Systems 89 (1970), 563–577 10.1109/TPAS.1970.292603
Reference: [6] Hung J. Y., Gao, W., Hung J. C.: Variable structure control: a survey.IEEE Trans. Industrial Electronics 40 (1993), 2–22 10.1109/41.184817
Reference: [7] Nobel N., Daniel J. W.: Applied Linear Algebra.Prentice–Hall, Englewood Cliffs, N. J. 1988
Reference: [8] Slotine J. J. E.: Sliding controller design for nonlinear systems.Internat. J. Control 40 (1984), 421–434 Zbl 0541.93034, 10.1080/00207178408933284
Reference: [9] Slotine J. J. E., Li W.: Applied Non-Linear Control.Prentice–Hall, Englewood Cliffs, N. J. 1991
Reference: [10] Utkin V. I.: Variable structure systems with sliding modes.IEEE Trans. Automat. Control 22 (1977), 212–222 Zbl 0382.93036, MR 0484664, 10.1109/TAC.1977.1101446
Reference: [11] White B. A., Silson P. M.: Reachability in variable structure control systems.IEE Proc. D, Control Theory Appl. 131 (1984), 85–91 Zbl 0541.93004, 10.1049/ip-d.1984.0015
Reference: [12] Young K. D., Utkin V. I.: A control engineer’s guide to sliding mode control.IEEE Trans. Systems Technology 7 (1999), 7, 328–342 10.1109/87.761053
Reference: [13] Yoo D. S., Chung M. J.: A variable structure control with simple adaptation laws for upper bounds on the norm of the uncertainties.IEEE Trans. Automat. Control 37 (1992), 860–864 Zbl 0760.93014, MR 1164567, 10.1109/9.256348
Reference: [14] Zhou K., Khargonekar P. P.: Robust stabilizing of linear systems with norm bounded time varying uncertainty.Systems Control Lett. 10 (1988), 17–20 MR 0920801, 10.1016/0167-6911(88)90034-5
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