Full entry |
PDF
(3.2 MB)
Feedback

switching function; reachability; Householder transformation; variable structure control; fuzzy logic; interconnected power systems; Lyapunov function

References:

[1] Chen C. L., Chang M. H.: **Optimal design of fuzzy sliding mode control: A comparative study**. Fuzzy Sets and Systems 93 (1998), 37–48

[2] Chen C. G., Lin M. H., Hsiao J. M.: **Sliding mode controllers design for linear discrete-time systems with matching perturbations**. Automatica 36 (2000), 1205–1211 DOI 10.1016/S0005-1098(00)00030-3 | MR 1827616

[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, London 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] Gutman S.: **Uncertain dynamical systems: a Lyapunov min-max approach**. IEEE Trans. Automat. Control 24 (1979), 437–443 DOI 10.1109/TAC.1979.1102073 | MR 0533394 | Zbl 0416.93076

[7] 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

[8] Nobel N., Daniel J. W.: **Applied Linear Algebra**. Prentice–Hall, Englewood Cliffs, NJ 1988

[9] Slotine J. J. E., Li W.: **Applied Non-Linear Control**. Prentice-Hall, Englewood Cliffs, NJ 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**. Proc. IEE-D (Control Theory and Applications) 131 (1984), 3, 85–91 Zbl 0541.93004

[12] 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