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Keywords:
reaching-phase; sliding mode; matching condition; singular value decomposition; fuzzy logic; Lyapunov function
reaching-phase; sliding mode; matching condition; singular value decomposition; fuzzy logic; Lyapunov function
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.
References:
[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 DOI 10.1049/ip-cta:19971122 | Zbl 0887.93011
[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
[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
[4] Edwarda C., Spurgeon S. K.: Sliding Mode Control: Theory and Applications. Taylor and Francis Ltd., 1998
[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 DOI 10.1109/TPAS.1970.292603
[6] Hung J. Y., Gao, W., Hung J. C.: Variable structure control: a survey. IEEE Trans. Industrial Electronics 40 (1993), 2–22 DOI 10.1109/41.184817
[7] Nobel N., Daniel J. W.: Applied Linear Algebra. Prentice–Hall, Englewood Cliffs, N. J. 1988
[8] Slotine J. J. E.: Sliding controller design for nonlinear systems. Internat. J. Control 40 (1984), 421–434 DOI 10.1080/00207178408933284 | Zbl 0541.93034
[9] Slotine J. J. E., Li W.: Applied Non-Linear Control. Prentice–Hall, Englewood Cliffs, N. J. 1991
[10] Utkin V. I.: Variable structure systems with sliding modes. IEEE Trans. Automat. Control 22 (1977), 212–222 DOI 10.1109/TAC.1977.1101446 | MR 0484664 | Zbl 0382.93036
[11] White B. A., Silson P. M.: Reachability in variable structure control systems. IEE Proc. D, Control Theory Appl. 131 (1984), 85–91 DOI 10.1049/ip-d.1984.0015 | Zbl 0541.93004
[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 DOI 10.1109/87.761053
[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 DOI 10.1109/9.256348 | MR 1164567 | Zbl 0760.93014
[14] Zhou K., Khargonekar P. P.: Robust stabilizing of linear systems with norm bounded time varying uncertainty. Systems Control Lett. 10 (1988), 17–20 DOI 10.1016/0167-6911(88)90034-5 | MR 0920801
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