Robust H∞ control of a hamiltonian system with uncertainty and its application to a multi-machine power system

IEE Proceedings: Control Theory and Applications

Volumn 152, Issue 2, 2005, Pages 202-210

  Mei, S ^a   Shen, T ^a   Hu, W ^a   Lu, Q ^a   Sun, L ^b  

^a TSINGHUA UNIVERSITY   (China)

^b SOPHIA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTER SIMULATION; CONTROL EQUIPMENT; FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); STANDBY POWER SYSTEMS; UNCERTAIN SYSTEMS;

HAMILTONIAN FUNCTIONS; PORT-CONTROLLED HAMILTONIAN (PCH); SUPERCONDUCTING STORAGE FACILITIES; TRANSIENT STABILITY;

HAMILTONIANS;

EID: 17444374657     PISSN: 13502379     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-cta:20041121     Document Type: Article

References (24)

1. Maschke, B.M.J., Ortega, R., and van der Schaft, V.J.: 'Energy-based Lyapunov function for forced Hamiltonian systems with dissipation'. Proc. 37th IEEE Conf. on Decision and Control, Tampa, FL, 1998, pp. 3599-3604
2. Maschke, B.M.J., Ortega, R., van der Schaft, V.J., and Escobr, G.: 'A energy-based derivation of Lyapunov functions for forced systems with application to stabilization control'. Proc. 14th World Congress International Federation of Automatic Control, Beijing, Pergamon, 1999, pp. 409-414
3. Cheng, D., Xi, Z., Lu, Q., and Mei, S.: 'Geometric structure of generalized controlled Hamiltonian systems and its application', Sci. China E, 2000, 43, (4), pp. 365-379
4. Cheng, D., Xi, Z., Hong, Y., and Qin, H.: 'Energy-based stabilization of forced Hamiltonian systems and its application to power systems'. Proc. 14th World Cong. Int. Federation of Automatic Control, Beijing, China, 1999, Vol. O, pp. 297-302
5. Ortega, R., Loria, A., Nicklasson, P.J., and Siraramirez, H.: 'Passivity-based control of Euler-Lagrangian systems', in 'Communications and control engineering' (Springer-Verlag, London, 1998)
6. Ortega, R., van der Schaft, V.J., and Maschke, B.M.J.: 'Energy-shaping of port-controlled Hamiltonian systems by interconnection'. Proc. 37th IEEE Conf. on Decision and Control, Phoenix, 1998, pp. 1646-1651
7. Shen, T., Ortega, R., Mei, S., et al.: 'Adaptive disturbance attenuation of Hamiltonian systems with parametric perturbation and application to power systems'. Proc. 39th IEEE Conf. on Decision and Control, Sydney, Australia, 2000, pp. 4939-4945
8. Xi, Z., and Cheng, D.: 'Passivity-based stability and control of the Hamiltonian control systems with dissipation and its applications to power systems', Int. J. Control, 2001, 73, (18), pp. 1686-1691
9. Mei, S., Shen, T., Hu, W., and Lu, Q.: 'Robust control of Hamilton system and application to power system'. Proc. 15th World Cong. Int. Federation of Automatic Control, Spain, Barcelona, 2002
10. Xi, Z.: 'A nonlinear decentralized steam valving controller for multimachine power systems'. Proc. 15th Triennial World Cong. Int. Federation of Automatic Control, Spain, Barcelona, 2002
11. Xi, Z., Feng, G., Cheng, D., and Lu, Q.: 'Nonlinear decentralized saturated controller design for power systems', IEEE Trans. Control Syst. Technol., 2003, 11, (4), pp. 539-547
12. Xi, Z.: 'Adaptive stabilization of generalized Hamiltonian systems with dissipation and its applications to power systems', Int. J. Syst. Sci., 2002, 33, (10), pp. 839-846
13. Lu, Q., Sun, Y., Xu, Z., and Mochizuki, T.: 'Decentralized nonlinear optimal excitation control', IEEE Trans. Power Syst., 1996, 11, (4), pp. 1957-1962
14. ∞ excitation control based on regulation linearization', IEE Proc., Genar., Transm. Distrib., 2000, 147, (4), pp. 245-251
15. ∞ excitation controller', Sci. China E, 2000, 43, (1), pp. 23-31
16. ∞ excitation control based on regulation linearization'. Proc. 14th World Cong. Int. Federation of Automatic Control, Beijing, China, 1999, Vol. O, pp. 291-296
17. Wang, Y., Guo, G., Hill, D.J., and Middleton, R.H.: 'Robust decentralized nonlinear controller design for multimachine power systems', Automatica, 1997, 33, (9), pp. 1725-1733
18. Wang, Y., Hill, D.J., and Guo, G.: 'Robust decentralized control for multi-machine power systems', IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 1998, 45, (39), pp. 1725-1733
19. Yu, Y.N.: 'Electric power system dynamics' (Academic Press, 1983)
20. 2-gain and passivity techniques in nonlinear control' (Springer, 2000)
21. Shen, T., and Tumura, K.: 'Robust control of uncertain nonlinear system via state feedback', IEEE Trans. Autom. Control, 1995, 40, pp. 766-768
22. Stoline, J.J.E., and Li, W.: 'Applied nonlinear control' (Prentice Hall, New Jersey, 1991)
23. Sun, Y.Z., Zhao, M., Li, X., and Song, Y.H.: 'New Lyapunov function for transient stability analysis and control of power systems with excitation control', Electr. Power Syst. Res., 2001, 57, (2), pp. 123-131
24. Lu, Q., Mei, S., and Hu, W.: 'Nonlinear decentralized disturbance attenuation excitation control via new recursive design for multi-machine power systems', IEEE Trans. Power Syst., 2001, 16, (4), pp. 729-736