Estimation of the State and the Unknown Inputs of a Multimodel with non Measurable Decision Variables

Akhenak, 2004, 4, 3563 Akhenak, 2006, Unknown input observer based-approach, application to secure communications, 1 Akhenak, 2003, 245 Jadbabaie, 1999, A reduction in conservatism in stability and L2 gain analysis of Takagi-Sugeno fuzzy systems via linear matrix inequalities, 285 D. Marx and B. Dept. “Unknown input observers for switched nonlinear discrete time descriptor systems”, Automatica Control, IEEE Transactions on publication data. February 2008. Maherzi, 2007, Polyquadratic stabilization of a multi inputs multimodel with quantified commands, International Journal of mathematics and computer in simulation, 1, 344 Daafouz, 2001, Parameter dependent lyapunov functions for discrete time systems with time varying parametric uncertainties, Systems and Control Letters, 43/5, 359 Mata-Machuca, 2011, Chaotic Systems Synchronization Via High Order Observer Design, Journal of Applied Research and Technology (JART), 9, 57 Moreno, 2001, 732 T. A Johansen Et al., “On the interpretation and identification dynamic Takagi-Sugeno fuzzy models”. IEEE Trans on Fuzzy Systems. Vol.8.n.3. pp.297-313. Gasso, 2001, Structure identification in multiple model representation elimination and merging of local models, 3, 2992 Tanaka, 1992, Stability analysis and design of fuzzy control systems, Fuzzy Sets and Systems, 45, 135, 10.1016/0165-0114(92)90113-I Tanaka, 1998, Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based design, IEEE Trans. Fuzzy Systems, 6, 250, 10.1109/91.669023 Vandenberghe, 1996, Semi definite programming, SIAM Review, 38, 49, 10.1137/1038003 Chadli, 2009, State and unknown input estimation for discrete time multiple mode, Journal of the Franklin Institute, 346, 593, 10.1016/j.jfranklin.2009.02.011 Chadli, 2006, Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties - comment on, Fuzzy Sets and Systems Journal, 157, 1276, 10.1016/j.fss.2005.09.004 Darouach, 1994, Full-order observers for linear systems with unknown inputs, IEEE Transactions on Automatic Control, 39, 606, 10.1109/9.280770 Amann, 2001, Identification of fuzzy relational models for fault detection, Control Engineering Practice, 9, 555, 10.1016/S0967-0661(01)00016-8 Kudva, 1980, Observers for linear systems with unknown inputs, IEEE Trans, on Automatic Control, 25, 113, 10.1109/TAC.1980.1102245 Dixon, 2004, Observer-based FDIA, application to an electromechanical positioning system, Control Engineering Practice, 12, 1113, 10.1016/j.conengprac.2003.11.013 Patton, 1998, Fuzzy observer for nonlinear dynamic systems fault diagnosis, 1, 84 R. Acevedo-Gómez, et al., ”State Variables Monitoring Using a Class Of Nonlinear Observer Based Estimaot, Applied To Continuous Bio-System”, Journal of Applied Research and Technology (JART), Vol 6 n3, pp 147-158. Dassanake, 2000, Using unknown input observers to detect and isolate sensor faults in a turbofan engine, 7, 6E51 Chang, 1997, Design of general structured observers for linear systems with unknown input, Journal of the Franklin Institute, 334, 1025, 10.1016/S0016-0032(96)00077-4 Zemmel, 2010, Synthesis of a Robust Multiobserver for the Estimation of Unknown Inputs Using the Piecewise Quadratic Functions, American Journal of Applied Sciences, 7, 1264, 10.3844/ajassp.2010.1264.1276 Johansen, 2003, Multiobjective Identification of Takagi-Sugeno Fuzzy Models, IEEE Trans, on Fuzzy Systems, 11, 847, 10.1109/TFUZZ.2003.819824 Johansen, 2000, Computation of Lyapunov function for smooth nonlinear systems using convex optimization, Automatica, 1617, 10.1016/S0005-1098(00)00088-1 Floquet, 2004, A sliding mode approach of unknown input observers for linear systems, 2, 1724