References

• 1. 1)
     • 1. Lu, Q., Mei, S.W., Sun, Y.Z.: ‘Nonlinear control of power system (the second version)’ (Tsinghua University Press, Beijing, 2008).
  2. 2)
     • 6. Ortega, R., Galaz, M., Astolfi, A., Sun, Y., Shen, T.: ‘Transient stabilization of multimachine power systems with nontrivial transfer conductances’, IEEE Trans. Autom. Control, 2005, 50, pp. 60–75 (doi: 10.1109/TAC.2004.840477).
  3. 3)
     • 16. Wang, Y., Cheng, D., Li, C., Ge, Y.: ‘Dissipative Hamiltonian realization and energy-based L2-disturbance attenuation control of multi-machine power systems’, IEEE Trans. Autom. Control, 2003, 48, pp. 1428–1433 (doi: 10.1109/TAC.2003.815037).
  4. 4)
     • 13. Xin, H., Gan, D., Huang, M., Wang, K.: ‘Estimating the stability region of singular perturbation power systems with saturation nonlinearities: an linear matrix inequalitybased method’, IET Control Theory Appl., 2010, 4, pp. 351–361 (doi: 10.1049/iet-cta.2008.0331).
  5. 5)
     • 24. Wang, H.S., Yung, C.F., Chang, F.: ‘H∞ control for nonlinear descriptor systems’, IEEE Trans. Autom. Control, 2002, 47, pp. 1919–1925 (doi: 10.1109/TAC.2002.804465).
  6. 6)
     • 17. Wang, Y., Li, C., Cheng, D.: ‘Generalized Hamiltonian realization of time-invariant nonlinear systems’, Automatica, 2003, 39, pp. 1437–1443 (doi: 10.1016/S0005-1098(03)00132-8).
  7. 7)
     • 3. Wang, K., Xin, H., Gan, D., Ni, Y.: ‘Non-linear robust adaptive excitation controller design in power systems based on a new back-stepping method’, IET Control Theory Appl., 2010, 4, pp. 2947–2957 (doi: 10.1049/iet-cta.2009.0534).
  8. 8)
     • 8. Hu, T., Lin, Z.: ‘Control systems with actuator saturation: analysis and design’ (Birkhauser, Boston, 2001).
  9. 9)
     • 18. Wang, Y. Z.: ‘General hamiltonian system theory: realization, control and application’ (Science Press, Beijing, 2007).
  10. 10)
      • 10. Yoon, S., Park, J., Yoon, T.: ‘Dynamic anti-windup scheme for feedback linearizable nonlinear control systems with saturating inputs’, Automatica, 2008, 44, pp. 3176–3180 (doi: 10.1016/j.automatica.2008.10.003).
  11. 11)
      • 12. Xin, H., Gan, D., Qu, Z., Qiu, J.: ‘Impact of saturation nonlinearities/disturbances on the small-signal stability of power systems: an analytical approach’, Electr. Power Syst. Res., 2008, 78, pp. 849–860 (doi: 10.1016/j.epsr.2007.06.006).
  12. 12)
      • 20. He, B., Zhang, X.B., Zhao, X.Y.: ‘Transient stabilization of structure preserving power systems with excitation control via energy-shaping’, Electr. Power Energy Syst., 2007, 29, pp. 822–830 (doi: 10.1016/j.ijepes.2007.06.003).
  13. 13)
      • 7. Shi, F., Wang, J.: ‘Stabilising control of multi-machine power systems with transmission losses based on pseudo-generalised Hamiltonian theory’, IET Control Theory Appl., 2012, 6, pp. 173–181 (doi: 10.1049/iet-cta.2011.0063).
  14. 14)
      • 9. GuBner, T., Jost, M., Adamy, J.: ‘Controller design for a class of nonlinear systems with input saturation using convex optimization’, Syst. Control Lett., 2012, 61, pp. 258–265 (doi: 10.1016/j.sysconle.2011.11.003).
  15. 15)
      • 14. Xi, Z., Feng, G., Cheng, D., Lu, Q.: ‘Nonlinear decentralized saturated controller design for power systems’, IEEE Trans. Control Syst. Technol., 2003, 11, pp. 539–547 (doi: 10.1109/TCST.2003.813404).
  16. 16)
      • 11. Sun, W., Lin, Z., Wang, Y.: ‘Global asymptotic and finite-gain L2 stabilization of port-controlled Hamiltonian systems subjects to actuator saturation’. American Control Conf., 2009, pp. 1894–1898.
  17. 17)
      • 2. Bandal, V., Bandyopadhyay, B.: ‘Robust decentralised output feedback sliding mode control technique-based power system stabiliser (PSS) for multimachine power system’, IET Control Theory Appl., 2007, 1, pp. 1512–1522 (doi: 10.1049/iet-cta:20060393).
  18. 18)
      • 21. Liu, Y.H., Chen, T.J., Li, C.W., Wang, Y.Z., Chu, B.: ‘Energy-based L2 disturbance attenuation excitation control of differential algebraic power systems’, IEEE Trans. Circuits Syst. II, Exprss Briefs, 2008, 55, pp. 1081–1085 (doi: 10.1109/TCSII.2008.2001966).
  19. 19)
      • 22. Tsolas, N., Arapostathis, A., Varaiya, P.: ‘A structure preserving energy function for power system transient stability analysis’, IEEE Trans. Circuits Syst., 1985, CAS-32, pp. 1041–1049 (doi: 10.1109/TCS.1985.1085625).
  20. 20)
      • 5. Nechadi, E., Harmas, M.N., Hamzaoui, A., Essounbouli, N.: ‘A new robust adaptive fuzzy sliding mode power system stabilizer’, Int. J. Electr. Power Energy Syst., 2012, 42, pp. 1–7 (doi: 10.1016/j.ijepes.2012.03.032).
  21. 21)
      • 4. Dehghani, M., Nikravesh, SKY: ‘Full-order nonlinear observer-based excitation controller design for interconnected power systems via exact linearization approach’, Int. J. Electr. Power Energy Syst., 2012, 41, pp. 54–62 (doi: 10.1016/j.ijepes.2012.03.007).
  22. 22)
      • 25. Klein, M., Rogers, G.J., Kundur, P., et al: ‘A fundamental study of inter-area oscillations in power systems’, IEEE Trans. Power Syst., 1991, 6, pp. 914–921 (doi: 10.1109/59.119229).
  23. 23)
      • 23. Hiskens, I.A., Hill, D.J.: ‘Energy funcitons, transient stability and voltage behavior in power systems with nonlinear loads’, IEEE Trans. Power Syst., 1989, 4, pp. 1525–1533 (doi: 10.1109/59.41705).
  24. 24)
      • 15. Wei, A.R., Wang, Y.Z.: ‘Stabilization and H∞ control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation’, Automatica, 2010, 46, pp. 2008–2013 (doi: 10.1016/j.automatica.2010.08.001).
  25. 25)
      • 19. Wang, Y., Cheng, D., Liu, Y., Li, C.: ‘Adaptive H∞ excitation control of multi-machine power systems via the Hamiltonian function method’, Int. J. Control, 2004, 77, pp. 336–350 (doi: 10.1080/0020717042000196254).