Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31097
ILMI Approach for Robust Output Feedback Control of Induction Machine

Authors: Abdelwahed Echchatbi, Adil Rizki, Ali Haddi, Nabil Mrani, Noureddine Elalami


In this note, the robust static output feedback stabilisation of an induction machine is addressed. The machine is described by a non homogenous bilinear model with structural uncertainties, and the feedback gain is computed via an iterative LMI (ILMI) algorithm.

Keywords: induction machine, Static output feedback, robust stabilisation

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1345


[1] D. Bernstein, "Some open problems in matrix theory arising in linear systems and control," Linear Algebra Appl., Vol. 162 - 164, pp. 409 - 432.
[2] B. R. Barmish, "Necessary and Sufficient conditions for quadratic stabilizability of an uncertain system," J. Optimization Theory Appl., vol. 46, pp. 339 - 408.
[3] Y. Cao, J. Lam, Y. Sun, "Static Output Feedback Stabilization: An ILMI Approach," Automatica, Vol. 34, No. 12, pp. 1641 - 1645, 1998.
[4] N. Elalami, A. Echchatbi, A. Bouaziz, "Observation et Stabilisation Robuste des Systèmes Bilinéaires incertains," Conférence Internationale Francophone d-Automatique, Nantes 2002.
[5] T. Iwasaki, and R. E. Skelton, "Parametrization of all stabilizing controllers via quadratic Lyapunov functions," J. Optimization Theory Appl. No. 85, pp 291-307.
[6] V. Kucera and C. de Souza, "A necessary and sufficient condition for output feedback stabilizability," Automatica, Vol. 31, N┬░ 9, pp. 1357 - 1359, 1995.
[7] C. Lin, Q. Wang, T. H. Lee, "An improvement on multivariable PID controller design via iterative LMI Approach," Automatica, Vol. 40, pp. 519 - 525, 2004.
[8] M. C. Oliveira and J.C. Geromel, "Numerical comparison of output feedback design methods," Proc. of America Control Conf. Albuquerque, U.S.A. 1997.
[9] J. Schumacher, "Compensator synthesis using (C, A, B) pairs," IEEE Trans. Automat. Control., vol. 25, pp. 1133 - 1138.
[10] V.L. Syrmos, C. Abdallah, P. Dorato and K. Grigoriadis, "Static output feedback: a survey," Automatica, Vol. 33, N┬░ 2, pp. 125-137.
[11] F. Zheng, Q.-G., Wang and T.H. Lee, "On the design of multivariable PID controllers via LMI approach," Automatica, Vol. 38, pp. 517-526, 2002.