. [. Bibliographie, Z. Aganovic, . Gajicagb94-]-p, P. Apkarian, J. M. Gahinet et al., The successive approximation procedure for nite-time optimal control of bilinear systems Ane parameter-dependent Lyapunov functions for real parametric uncertainty, Proc. IEEE Conf. Decision & Contr, p.20262031, 1994.

H. [. Apkarian, . D. Tuanav73-]-b, S. Anderson, and . Vongpanitlerd, Robust control via concave minimization : local and global algorithms Network Analysis and Synthesis : A Modern Theory Approach, Proc. IEEE Conf. Decision & Contr, 1973.

N. [. Bornard, F. Couenne, and . Celle, Regularly persistent observers for bilinear systems, New Trends in Nonlinear Control Theory, p.130140, 1988.
DOI : 10.1007/BFb0043023

]. R. Ben97 and . Benton-jr, Linear Matrix Inequality Approach to Robust Emergency Lateral Control of a Highway Vehicle with Time-Varying uncertainties, 1997.

H. [. Besançon and . Hammouri, Reduced order observer for a class of non-uniformly observable systems, Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995.
DOI : 10.1109/CDC.1995.478658

H. [. Besançon and . Hammouri, On uniform observation of nonuniformly observable systems, Systems & Control Letters, vol.29, issue.1, p.919, 1996.
DOI : 10.1016/0167-6911(96)00043-6

J. [. Busawon and . De-leon-morales, An improved high gain observer for single input uniformly observable systems, Proc. European Contr. Conf, 1999.

N. [. Chughtai and . Munro, Lmi based gain-scheduled control, Proc. Control, 2004.

]. M. Dar00 and . Darouach, Existence and design of functional observers for linear systems, IEEE Trans. Aut. Contr, vol.45, p.940943, 2000.

. Dbb-+-93-]-f, D. Deza, E. Bossanne, J. P. Busvelle, D. R. Gauthier et al., Exponential observers for nonlinear systems A new discrete-time robust stability condition, IEEE Trans. Aut. Contr, vol.38, issue.37, p.482484261265, 1993.

F. Deza, E. Busvelle, J. P. Gauthier, D. [. Rakotopara, J. P. Deza et al., High gain estimation for nonlinear systems A simple and robust nonlinear estimator Design of linear feedback laws for bilinear systems Existence of bilinear state observers for bilinear systems, Proc. IEEE Conf. Decision & ContrDSN79] I.A. Derese, P. Stevens, and E.J. Noldus. Observers for bilinear systems with bounded input, p.295299219237590592649668, 1979.

M. España, I. D. Landaufra87-]-b, . Francisfs02-]-e, U. Fridman, and . Shaked, Reduced order bilinear models for distillations columns A course in H ? Control Theory, volume 88 of Lecture Notes in Control and Information Sciences A descriptor system approach to H ? control of linear time-delay systems, Fun79] Y. Funahashi. Stable state estimator for bilinear systems, p.345355253270181188, 1977.

J. P. Gauthier, H. Hammouri, S. [. Othman, D. Gauthier, . [. Kasakos et al., A simple observer for nonlinear systems, applications to bioreactors Observabilité et observateurs de systèmes non linéaires A separation principle for bilinear systems with dissipative drift, IEEE Trans. Aut. Contr. RAIRO-APII IEEE Trans. Aut. Contr, vol.37875880, issue.37, p.201212, 1988.

R. [. Goodwin and . Middleton, The class of all stable unbiased state estimators, Systems & Control Letters, vol.13, issue.2, p.161163, 1989.
DOI : 10.1016/0167-6911(89)90033-9

B. Gérard, H. Souley-ali, M. Zasadzinski, and M. Darouach, Filtrage robuste des systèmes bilinéaires uniformément observables, Journées Doctorales Modélisation, Analyse et Conduite des Systèmes Dynamiques, 2007.

B. Gérard, H. Souley-ali, M. Zasadzinski, and M. Darouach, LPV approach for H ? reduced-order lters for bilinear systems, Proc. European Contr. Conf, 2007.

]. B. Gszd07c, H. Gérard, M. Souley-ali, M. Zasadzinski, and . Darouach, LPV approach for observer-based compensator for bilinear systems, Conf. on Systems and Control, 2007.

]. B. Gszd08a, H. Gérard, M. Souley-ali, M. Zasadzinski, and . Darouach, H ? lter for bilinear systems using LPV approach, IEEE Trans. Aut. Contr, 2008.

B. Gérard, H. Souley-ali, M. Zasadzinski, and M. Darouach, LPV approach for H ? lter design for a class of nonlinear systems, Proc. Triennal IFAC World Congress, 2008.

]. B. Gszd08c, H. Gérard, M. Souley-ali, M. Zasadzinski, and . Darouach, LPV approach for observer-based quadratic compensator for bilinear systems, Proc. IEEE Mediterranean Conf. Contr. & Aut, 2008.

]. P. Gut81 and . Gutman, Stabilizing controllers for bilinear systems, IEEE Trans. Aut. Contr, vol.26, p.917922, 1981.

]. B. Gzsd07a, M. Gérard, H. Zasadzinski, M. Ali, and . Darouach, Two-stage functional H ? lter for a class of bilinear systems, Conf. on Systems and Control, 2007.

]. B. Gzsd07b, M. Gérard, H. Zasadzinski, M. Ali, and . Darouach, Two-stage observer for a class of bilinear systems [Ha¢92] A. Ha¢. Design of disturbance decoupled observer for bilinear systems, Proc. European Contr. Conf, p.556562, 1992.

K. [. Hara and . Furuta, Minimal order state observers for bilinear systems, International Journal of Control, vol.50, issue.5, p.705718, 1976.
DOI : 10.1016/S0019-9958(72)80004-4

A. [. Hermann and . Krener, Nonlinear controllability and observability, IEEE Transactions on Automatic Control, vol.22, issue.5, p.728740, 1977.
DOI : 10.1109/TAC.1977.1101601

A. [. Hespanha and . Morse, Certainty equivalence implies detectability, Syst. & Contr. Letters, vol.36, p.113, 1999.

]. D. Jac79 and . Jacobsen, Extension of Linear-Quadratic Control, Optimization and matrix Theory, 1979.

]. R. Kal63 and . Kalman, Mathematical description of linear dynamical systems, SIAM J. Contr, vol.1, p.152192, 1963.

R. [. Kwakernaak and . Sivan, Linear Optimal Control, 1972.

[. Liu, M. Farza, M. M. Saad, and H. Hammouri, High gain observer based on coupled systems, Conf. on Systems and Control, 2007.

F. Liu, M. Farza, M. M. Saad, and H. Hammouri, Observer Design for a class of uniformly observable MIMO nonlinear systems with coupled structure, Proc. Triennal IFAC World Congress, 2008.
DOI : 10.3182/20080706-5-KR-1001.01290

W. Lin, Input saturation and global stabilization of nonlinear systems via state and output feedback, IEEE Trans. Aut. Contr, vol.40, p.776782, 1995.

J. Lasalle and S. Lepschetz, Stability by Liapunov's direct method, 1961.

]. R. Lon80 and . Longchamp, Stable feedback control of bilinear systems, IEEE Trans. Aut. Contr, vol.25, p.302306, 1980.

M. [. Lancaster and . Tismenetsky, The Theory of Matrices, 1985.

B. [. Moylan and . Anderson, Non linear regulator theory, IEEE Trans. Aut. Contr, vol.18, p.460465, 1973.

W. [. Mohler and . Kolodziej, An overview of bilinear system theory and applications, IEEE Trans. Syst. Man Cyber, vol.10, p.683688, 1980.

Y. [. Masubuchi, A. Kamitane, N. Ohara, and . Suda, H??? control for descriptor systems: A matrix inequalities approach, Automatica, vol.33, issue.4, p.669672, 1997.
DOI : 10.1016/S0005-1098(96)00193-8

R. [. Michel, W. Miller, and . Tang, Liapunov stability of interconnected systems : Decomposition into strongly connected systems, Circuits, Systems, and Signal Processing, vol.25, p.799809, 1978.

]. R. Moh73 and . Mohler, Bilinear Control Processes, Mathematics in Science and Engineering, vol.106, 1973.

]. R. Moh91 and . Mohler, Nonlinear systems : Applications to Bilinear Control, 1991.

S. [. Mahout, G. Tarbouriech, and . Garcia, Controller design for unstable uncertain bilinear systems, Proc. IEEE Mediterranean Conf. Contr. & Aut, 2002.

]. P. Mys92 and . Myszkorowski, Practical stabilization of a class uncertain nonlinear systems, Syst. & Contr. Letters, vol.18, p.233236, 1992.

M. [. Magarotto, M. Zasadzinski, and . Darouach, An H/sub ???/ reduced-order controller for bilinear systems, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 1999.
DOI : 10.1109/CDC.1999.827944

H. Nijmeijer, Observability of a class of non linéar systems : a geometric approach, Ricerche Di Automatica, vol.12, 1981.

]. R. Raj98 and . Rajamani, Observer for Lipschitz nonlinear systems, IEEE Trans. Aut. Contr, vol.43, p.397401, 1998.

Y. [. Rajamani and . Cho, Performance of active automotive suspensions with hydraulic actuators: theory and experiment, Proceedings of 1994 American Control Conference, ACC '94, 1995.
DOI : 10.1109/ACC.1994.752251

M. A. Rotea, M. Corless, D. Da, and I. R. Petersen, Systems with structured uncertainty: relations between quadratic and robust stability, IEEE Transactions on Automatic Control, vol.38, issue.5, p.799803, 1993.
DOI : 10.1109/9.277250

J. [. Raghavan and . Hedrick, Observer design for a class of nonlinear systems, International Journal of Control, vol.59, issue.2, p.515528, 1994.
DOI : 10.1109/9.53535

M. Rodrigues, H. Hammouri, C. Mechmeche, and N. B. Braiek, A High Gain Observer based LMI Approach, Proc. Triennal IFAC World Congress, 2008.
DOI : 10.3182/20080706-5-KR-1001.00472

URL : https://hal.archives-ouvertes.fr/hal-00364775

K. [. Ryali and . Moudgalya, Practical stability analysis of uncertain nonlinear systems, Nat. Conf. on Control and dynamycal systemRug81] W.J. Rugh. Nonlinear System Theory. Johns Hopkins Series in Information Sciences and Systems, 1981.

]. M. Sai94 and . Saif, A disturbance accommodating estimator for bilinear systems, Control Theory & Advanced Technology, vol.3, p.431446, 1994.

J. [. Seron, G. C. Braslavsky, and . Goodwin, Fundamental Limitations in Filtering and Control, 1997.
DOI : 10.1007/978-1-4471-0965-5

]. C. Sch90 and . Scherer, The Riccati Inequality and State-Space H ? -Optimal Control, 1990.

H. Souley-ali, M. Darouach, and M. Zasadzinski, Approche LMI pour la synthèse des ltres H ? non biaisés, Proc. Conférence Internationale Francophone d'Automatique, 2006.

M. [. Sampei, M. Mita, and . Nakamichi, An algebraic approach to H??? output feedback control problems, Systems & Control Letters, vol.14, issue.1, p.1324, 1990.
DOI : 10.1016/0167-6911(90)90075-6

Y. [. Sontag and . Wang, On characterizations of the input-to-state stability property, Systems & Control Letters, vol.24, issue.5, p.351359, 1995.
DOI : 10.1016/0167-6911(94)00050-6

[. Ali, M. Zasadzinski, M. Darouach, and H. Rafaralahy, Reduced order unbiased ltering for a class of uncertain bilinear systems, Proc. IEEE Conf. Decision & Contr, 2001.

[. Ali, M. Zasadzinski, H. Rafaralahy, and M. Darouach, H ? functional unbiased ltering for uncertain bilinear systems, Proc. Triennal IFAC World Congress, 2002.

[. Ali, M. Zasadzinski, H. Rafaralahy, and M. Darouach, Robust H ? reduced order functional ltering for uncertain bilinear systems, Automatica, vol.42, p.405413, 2006.

E. [. Tibken and . Hofer, Systematic observer design for bilinear systems, IEEE International Symposium on Circuits and Systems, 1989.
DOI : 10.1109/ISCAS.1989.100671

]. F. Tha73 and . Thau, Observing the state of non-linear dynamic systems, Int. J. Contr, vol.17, p.471479, 1973.

B. Tibken, E. P. Hofer, and A. Sigmund, The Ellipsoid Method for Systematic Bilinear Observer Design, Proc. Triennal IFAC World CongressTsi89] J. Tsinias. Observer design for nonlinear systems. Syst. & Contr. Letters, pp.135-142, 1989.
DOI : 10.1016/S1474-6670(17)58096-9

]. A. Van and . Schaft, L2 -gain analysis of nonlinear systems and nonlinear statefeedback H ? control, IEEE Trans. Aut. Contr, vol.37, p.770784, 1992.

]. M. Vid80a and . Vidyasagar, Decomposition techniques for large-scale systems with nonadditive interactions : stability and stabilizability, IEEE Trans. Aut. Contr, vol.25, p.773779, 1980.

]. M. Vid80b and . Vidyasagar, On the stabilization of nonlinear systems using state detection, IEEE Trans. Aut. Contr, vol.25, p.504509, 1980.

]. M. Vid80c and . Vidyasagar, On the well-posedness of large-scale interconnected systems, IEEE Trans. Aut. Contr, vol.25, p.413421, 1980.

]. M. Vid93 and . Vidyasagar, Nonlinear Systems Analysis, 1993.

K. [. Watson and . Grigoriadis, Optimal unbiased ltering via linear matrix inequalities, Syst. & Contr. Letters, vol.35, p.111118, 1998.

]. J. Wil71 and . Willems, Least squares stationary optimal control and the algebraic Riccati equations, IEEE Trans. Aut. Contr, vol.16, p.621634, 1971.

]. D. Wil77 and . Williamson, Observation of bilinear systems with application to biological control, Automatica, vol.13, p.243254, 1977.

C. [. Wang and . Kao, Estimator design for bilinear systems with bounded inputs, Journal of the Chinese Institute of Engineers, vol.63, issue.2, p.157163, 1991.
DOI : 10.1016/0167-6911(88)90034-5

Y. Wang, L. Xie, C. E. De, and . Souza, Robust control of a class of uncertain nonlinear systems, Systems & Control Letters, vol.19, issue.2, p.139149, 1992.
DOI : 10.1016/0167-6911(92)90097-C

T. [. Xu and . Chen, Robust H ? ltering for uncertain impulsive stochastic systems under sampled measurements, Automatica, vol.39, p.500516, 2003.

J. [. Zhou, K. Doyle, and . Glover, Robust and Optimal Control, 1996.

J. [. Zhang, J. Lu, G. Cao, and . Lu, H/sub ???/ observer-based compensator design for bilinear continuous-time systems, Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788), 2004.
DOI : 10.1109/WCICA.2004.1340704

M. Zasadzinski, H. Rafaralahy, C. Mechmeche, and M. Darouach, On Disturbance Decoupled Observers for a Class of Bilinear Systems, Journal of Dynamic Systems, Measurement, and Control, vol.64, issue.3, p.371377, 1998.
DOI : 10.1115/1.2805411

URL : https://hal.archives-ouvertes.fr/hal-00098140