Robust decentralized controller design for power systems using matrix inequalities approaches

2006 IEEE Power Engineering Society General Meeting, PES

Volumn , Issue , 2006, Pages

  Befekadu, G K ^b   Erlich, I ^a,b  

^a IEEE   (Germany)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

Decentralized control; Interconnected systems; Nonlinear systems; Optimization methods; Robustness

Indexed keywords

ELECTRIC POWER SYSTEMS; LARGE SCALE SYSTEMS; NONLINEAR SYSTEMS; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS);

MATRIX INEQUALITIES OPTIMIZATION METHODS; OPTIMIZATION METHODS;

DECENTRALIZED CONTROL;

EID: 35348897295     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/pes.2006.1709077     Document Type: Conference Paper

References (26)

1. M. Aoki, "On feedback stabilizability of decentralized dynamic systems," Automatica, vol. 8, pp. 163-172, 1972.
2. D. D. Siljak, Large scale dynamic systems: stability and structure, Elsevier North-Holland Inc., 1978.
3. D. D. Siljak, Decentralized control of complex systems, Academic Press, Inc., 1991.
4. J. Lunze, Feedback control of large-scale systems, Prentice Hall, New York, NY, 1992.
5. J. W. Chapman, M. D. Ilic and C. A. King, "Feedback linearizing excitation control on full-scale power system model," IEEE Trans. Power Syst., vol. 9(2), pp. 1102-1109, May 1994.
6. Y. Guo, D. Hill and Y. Wang, "Nonlinear decentralized control of large-scale power systems," Automatica, vol. 36, pp. 1275-1289, Sept. 2000.
7. S. Jain and F. Khorrami, "Robust decentralized control of power system utilizing only swing angle measurements," Int. J. Contr., vol. 66, pp. 581-601, 1997.
8. D. D. Siljak, D. M. Stipanovic and A. I. Zecevic, "Robust decentralized turbine/governor control using linear matrix inequalities," IEEE Trans. Power Syst., vol. 17(2), pp. 715-722, August 2002.
9. D. D. Siljak, A. I. Zecevic and G. Neskovic, "Robust decentralized exciter control with linear feedback," IEEE Trans. Power Syst., vol. 19(2), 1096-1103, 2004.
10. G. K. Befekadu and I. Erlich, "Robust decentralized controller design for power systems using convex optimization involving LMIs," presented at the 16th IFAC World Congress, Prague, Czech Republic, 2005.
11. G. K. Befekadu and I. Erlich, "Robust decentralized structure-constrained controller design for power systems: an LMI approach," presented at the PSCC 2005, Liege, Belgium, 2005.
12. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear matrix inequalities in system and control theory, SIAM Studies in Applied Mathematics, 15, 1994.
13. D. D. Siljak and A. I. Zecevic, "Design of robust static output feedback for large scale systems," IEEE Trans. Automat. Contr., vol. 49(11), 2040-2044, November 2004.
14. V. Vittal, M. H. Khammash and C. D. Pawloski, "Systems and control theory for power systems," In Chow, J. H., Kokotovic, P. V. and Thomas, R. J. editors, 64 of Mathematics and its Applications, IMA, 399-413, 1995.
15. S. Venkataraman, M. H. Khammash and V. Vittal, "Analysis and synthesis of HVDC controls for stability of power systems," IEEE Trans. Power Syst., vol. 10(4), 1933-1938, November 1995.
16. ∞ optimization based power system stabilizer design," IEE Proceedings Generation, Transmission and Distribution, 142(3), 179-184, 1995.
17. M. Klien, X. L. Le, R. J. Rogers and S. Farrokhpay, "H∞ damping controller design in large power systems," IEEE Trans. Power Syst., vol. 10(1), 158-166, February 1995.
18. M. Djukanovic, M. H. Khammash and V. Vittal, "Application of the structured singular value theory for robust stability and control analysis in multimachine power systems, Part-I: Framework development and Part II: Numerical simulation and results," IEEE Trans.Power Syst., vol. 13(4), 1311-1316, November 1998.
19. M. Djukanovic, M. H. Khammash and V. Vittal, "Sequential synthesis of structured singular value based decentralized controllers in power systems," IEEE Trans. Power Syst., vol. 14(2), 635-641, May 1999.
20. W. Qiu, V. Vittal and M. H. Khammash, "Decentralized power system stabilizer design using linear parameter varying approach," IEEE Trans. Power Syst. vol. 19(4), 1951-1960, November 2004.
21. P. Gahinet, A. Nemiroviski, A. L. Laub and M. Chilali, LMI Control Toolbox, Cambridge, MA: Mathworks Inc., 1995.
22. S. H. Wang and E. J. Davidson, "On stabilization of decentralized control systems", IEEE Trans. Autom. Contr., vol. 18(5), 473-478, 1973.
23. ∞ control," Int. J. Robust & Nonlin.Contr., vol. 4, 421-448, 1994.
24. S. L. Richter and R. A. Decarlo, "Continuation Methods: Theory and Applications," IEEE Trans. Circuits & Syst., vol. 30(6), 347-352, 1983.
25. M. Klein, R. G. Rogers and P. Kundur, "A fundamental study of interarea oscillations in power systems," IEEE Trans. Power Syst., vol. 6(3), 914-921, August 1991.
26. P. Kundur, Power system stability and control. McGraw-Hill Inc., 1994.