Parametric stabilization of nonlinear systems with moving equilibria

作者: A.I. Zecevic , D.D. Siljak

DOI: 10.1109/CDC.2002.1184653

关键词:

摘要: Provides a method for the parametric stabilization of nonlinear systems. Unlike traditional techniques, our approach does not assume that equilibrium remains fixed all parameter values. The proposed is based on linear matrix inequalities, which are used to produce robust control accounts uncertain variations, and corresponding shifts. This strategy successfully applied design decentralized turbine/governor in electric power systems with fluctuating load levels.

参考文章(16)
H Cai, Z Qu, D Gan, J.F Dorsey, A comparison and simulation study of nonlinearly designed robust controllers for power system transient stability International Journal of Electrical Power & Energy Systems. ,vol. 22, pp. 15- 28 ,(2000) , 10.1016/S0142-0615(99)00030-7
C.A. Canizares, On bifurcations, voltage collapse and load modeling IEEE Transactions on Power Systems. ,vol. 10, pp. 512- 522 ,(1995) , 10.1109/59.373978
J.C. Geromel, J. Bernussou, P.L.D. Peres, Decentralized control through parameter space optimization Automatica. ,vol. 30, pp. 1565- 1578 ,(1994) , 10.1016/0005-1098(94)90096-5
Y. Ohta, D.D. Šiljak, Parametric quadratic stabilizability of uncertain nonlinear systems Systems & Control Letters. ,vol. 22, pp. 437- 444 ,(1994) , 10.1016/0167-6911(94)90087-6
Haibo Jiang, Hongzhi Cai, J.F. Dorsey, Zhihua Qu, Toward a globally robust decentralized control for large-scale power systems IEEE Transactions on Control Systems and Technology. ,vol. 5, pp. 309- 319 ,(1997) , 10.1109/87.572128
S Aguinaldo, Flávio A. B. Lemos, Claudio A. Cañizares, André A. P. Lerm, Multi-parameter Bifurcation Analysis of Power Systems ,(1998)
A.I. Zecevic, D.M. Miljkovic, The effects of generation redispatch on Hopf bifurcations in electric power systems IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 49, pp. 1180- 1186 ,(2002) , 10.1109/TCSI.2002.801273
D. D. Šiljak, D. M. Stipanovic, Robust stabilization of nonlinear systems: The LMI approach Mathematical Problems in Engineering. ,vol. 6, pp. 461- 493 ,(2000) , 10.1155/S1024123X00001435
Teruyo Wada, Masao Ikeda, Yuzo Ohta, Dragoslav D. Šiljak, Brief Parametric absolute stability of multivariable Lur'e systems Automatica. ,vol. 36, pp. 1365- 1372 ,(2000) , 10.1016/S0005-1098(00)00052-2
D.D. Siljak, Parameter space methods for robust control design: a guided tour IEEE Transactions on Automatic Control. ,vol. 34, pp. 674- 688 ,(1989) , 10.1109/9.29394