{"title":"Adaptive Sliding Mode Observer for a Class of Systems","authors":"D.Elleuch, T.Damak","volume":44,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":743,"pagesEnd":750,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9018","abstract":"In this paper, the performance of two adaptive\r\nobservers applied to interconnected systems is studied. The\r\nnonlinearity of systems can be written in a fractional form. The first\r\nadaptive observer is an adaptive sliding mode observer for a Lipchitz\r\nnonlinear system and the second one is an adaptive sliding mode\r\nobserver having a filtered error as a sliding surface. After comparing\r\ntheir performances throughout the inverted pendulum mounted on a\r\ncar system, it was shown that the second one is more robust to\r\nestimate the state.","references":"[1] R. Rajamani \"Adaptive observers for active automotive suspensions:\r\ntheory and experiment\" IEEE transaction on control systems technology.\r\nVol 32, N\u252c\u25911 ,mars 1995\r\n[2] F. Zhu \"The design of full order and reduced-order adaptive observers\r\nfor nonlinear systems\" IEEE international conference on control\r\nautomation, China, 30 May to june 1, 2007.\r\n[3] Y. M. Cho , R.Rajamani \"A systematic approach to adaptive synthesis\r\nfor nonlinear systems\" IEEE ,1995 ,pp 478-482.\r\n[4] C.Cheng ``Design of adaptive observation schemes for lipschtiz\r\nnonlinear systems'' JSME international journal, series C, Vol 44, N\u252c\u2591 3,\r\n2001.\r\n[5] H.Saadaoui, De leon, M.djemai, J.P Barbo \"High order sliding mode and\r\nadaptive observers for a class of switched systems with unknown\r\nparameter: A comparative study\"Proceeding of the 45th IEEE\r\nconference on decision and control, san diego ,CA , USA. December 13-\r\n15 2006.\r\n[6] S.S.Ge , C.C.Hang, T-Zhang \"A direct adaptive controller for dynamic\r\nsystems with a class of nonlinear parametrizations\" Automatica, vol\r\n35,1999, pp 741-747.\r\n[7] F.Y.Zeng , B.Dahhou \"Adaptive control of nonlinear fermentation\r\nprocess via MRAC technique\" Appl.math.modelling, vol 17 February,\r\n1993,PP 58-69.\r\n[8] R. Marino \"Adaptive observers for single output nonlinear systems\"\r\nIEEE transaction on automatic control, vol 35, N\u252c\u25919, September, 1990 v.\r\n[9] N.M.Iyer, A. E. Forell \"Design of stable adaptive nonlinear observer for\r\nan exothermic stirred Tank reactor\" Computers Chem.Engng, Vol 20,\r\nN\u252c\u25919,1996, pp 1141-1147.\r\n[10] G. Besan\u251c\u00baon \"nonlinear observers and applications\"Springer-verlag\r\nBerlin Heidelberg, 2007.\r\n[11] Y-P Chen; J-L Chang \"Sliding mode force control of manipulators\"\r\nProceedings of the national science council, Republic of China ,part\r\nA,physical science and engineering, vol 32, N\u252c\u25912 ,1999, pp 281-288.\r\n[12] Paul C-P. Chao, Chien-Yu shen \"Design and implementation of a sliding\r\nmode controller and high gain observer for output tracking of a three\r\naxis pickup\" Sensors and actuators A 135, 2007, pp 713-730.\r\n[13] K.Hakiki, B. Mazari, ,A. Liazid ,S. Djaber \"Fault reconstruction using\r\nsliding mode observers\" American journal of applied sciences, vol 3,\r\nN\u252c\u25911 ,2006, pp: 1669-1674.\r\n[14] D.Elleuch, T.Damak \"Adaptive sliding mode observer for Lipchitz\r\nnonlinear systems with varying parameters\" 1 0th International\r\nconference on Sciences and Techniques of Automatic control \\&\r\ncomputer engineering, Hammamet, Tunisia ,December 20-22,2009,\r\npp1821-1833.\r\n[15] K.hakiki, B.Mazariari, A.Liazid , S.Djaber \"Fault reconstruction using\r\nsliding mode observer American journal of applied sciencez, vol 3,N\u252c\u25911,\r\n2006, pp: 1669-1674.\r\n[16] Ibrahim F. Jasim \"Stable Robust Adaptive Controller and Observer\r\nDesign for a Class of SISO Nonlinear Systems with Unknown Dead\r\nZone\" World Academy of Science, Engineering and Technology 59,\r\n2009.\r\n[17] Grouz Faten, Sbita Lassa\u251c\u00f3d \"Speed Sensorless IFOC of PMSM Based\r\nOn Adaptive Luenberger Observer\" International Journal of Electrical\r\nand Electronics Engineering 2:1 2009.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 44, 2010"}