An adaptive observer design approach for a class of discrete-time nonlinear systems

Bezzaoucha, S., Marx, B., Maquin, D. and Ragot, J. (2013a). State and parameter estimation for nonlinear systems: A10.1109/ACC.2013.6579975Search in Google Scholar

Takagi-Sugeno approach, American Control Conference, ACC’2013, Washington, DC, USA, pp. 1050-1055.Search in Google Scholar

Bezzaoucha, S., Marx, B., Maquin, D. and Ragot, J. (2013b). State and parameter estimation for time-varying systems: A Takagi-Sugeno approach, 5th Symposium on System Structure and Control/IFAC Joint Conference 2013 SSSC, Grenoble, France.10.1109/ACC.2013.6579975Search in Google Scholar

Blanco, Y. (2001). Stabilisation des Modeles Takagi-Sugeno et leur usage pour la commande des systemes non lineaires, PhD thesis, Universit´e des Sciences et Technologies de Lille, Lille.Search in Google Scholar

Boyd, S.P., El Ghaoui, L., Feron, E. and Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, SIAM, NewYork, NY.10.1137/1.9781611970777Search in Google Scholar

Caccavale, F., Pierri, F. and Villani, L. (2008). Adaptive observer for fault diagnosis in nonlinear discrete-time systems, Journal of Dynamic Systems, Measurement, and Control 130(2): 021005.10.1115/1.2837310Search in Google Scholar

Cho, Y.M. and Rajamani, R. (1997). A systematic approach to adaptive observer synthesis for nonlinear systems, IEEE Transactions on Automatic Control 42(4): 534-537.10.1109/9.566664Open DOISearch in Google Scholar

Ţiclea, A. and Besançon, G. (2016). Adaptive observer design for discrete time LTV systems, International Journal of Control 89(12): 2385-2395.10.1080/00207179.2016.1157901Search in Google Scholar

de Souza, C.E. and Xie, L. (1992). On the discrete-time bounded real lemma with application in the characterization of static state feedback H∞ controllers, Systems & Control Letters 18(1): 61-71.10.1016/0167-6911(92)90108-5Open DOISearch in Google Scholar

Guyader, A. and Zhang, Q. (2003). Adaptive observer for discrete time linear time varying systems, 13th IFAC/IFORS Symposium on System Identification, SYSID’2003, Rotterdam, The Netherlands, pp. 1705-1710.10.1016/S1474-6670(17)35006-1Search in Google Scholar

Ichalal, D., Mammar, S., Dabladji, M. E.-H. and Ragot, J. (2015). Observer design for a class of discrete-time quasi-LPV systems with unknown parameters: Algebraic approach, 2015 European Control Conference (ECC), Linz, Austria, pp. 915-920.10.1109/ECC.2015.7330659Search in Google Scholar

Ichalal, D., Marx, B., Maquin, D. and Ragot, J. (2016). A method to avoid the unmeasurable premise variables in observer design for discrete time TS systems, International Conference on Fuzzy Systems, FUZZ-IEEE’2016, Vancouver, Canada, pp. 2343-2348.10.1109/FUZZ-IEEE.2016.7737986Search in Google Scholar

Ichalal, D.,Marx, B., Ragot, J. and Maquin, D. (2009). State and unknown input estimation for nonlinear systems described by Takagi-Sugeno models with unmeasurable premise variables, 17th Mediterranean Conference on Control and Automation, MED’09, Thessaloniki, Greece, pp. 217-222.10.1109/MED.2009.5164542Search in Google Scholar

Kwiatkowski, A., Boll, M.T. and Werner, H. (2006). Automated generation and assessment of affine LPV models, Proceedings of the 45th IEEE Conference on Decision and Control CDC’06, San Diego, CA, USA, pp. 6690-6695.10.1109/CDC.2006.377768Search in Google Scholar

Lendek, Z., Guerra, T.M. and De Schutter, B. (2010). Stability analysis and nonlinear observer design using Takagi-Sugeno fuzzy models, Fuzzy Sets and Systems 161(15): 2043-2065.10.1016/j.fss.2010.03.010Search in Google Scholar

Löfberg, J. (2004). YALMIP: A toolbox for modeling and optimization in Matlab, International Symposium on Computer Aided Control Systems Design, Taipei, Taiwan, pp. 284-289.Search in Google Scholar

Nagy, A.M., Mourot, G., Marx, B., Ragot, J. and Schutz, G. (2010). Systematic multimodeling methodology applied to an activated sludge reactor model, Industrial & Engineering Chemistry Research 49(6): 2790-2799.10.1021/ie8017687Open DOISearch in Google Scholar

Ohtake, H., Tanaka, K. and Wang, H.O. (2003). Fuzzy modeling via sector nonlinearity concept, Integrated Computer- Aided Engineering 10(4): 333-341.10.3233/ICA-2003-10404Search in Google Scholar

Srinivasarengan, K., Ragot, J., Maquin, D. and Aubrun, C. (2016a). Joint state and parameter estimation for discrete-time Takagi-Sugeno model, 13th European Workshop on Advanced Control and Diagnosis, ACD 2016, Lille, France, pp. 012016.10.1088/1742-6596/783/1/012016Search in Google Scholar

Srinivasarengan, K., Ragot, J., Maquin, D. and Aubrun, C. (2016b). Nonlinear joint state-parameter observer for VAV damper position estimation, 3rd Conference on Control and Fault-Tolerant Systems, SysTol 2016, Barcelona, Spain, pp. 164-169.10.1109/SYSTOL.2016.7739745Search in Google Scholar

Tanaka, K. and Wang, H.O. (2004). Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, John Wiley & Sons, New York, NY.Search in Google Scholar

Thumati, B.T. and Sarangapani, J. (2008). A model based fault detection scheme for nonlinear multivariable discrete-time systems, 2008 IEEE International Conference on Systems, Man and Cybernetics, Singapore, pp. 1978-1983.10.1109/ICSMC.2008.4811580Search in Google Scholar

Zhou, K. and Khargonekar, P.P. (1988). Robust stabilization of linear systems with norm-bounded time-varying uncertainty, Systems & Control Letters 10(1): 17-20.10.1016/0167-6911(88)90034-5Open DOISearch in Google Scholar