Simultaneous Periodic Output Feedback Control for Piezoelectric Actuated Structures using Interval Methods

[1]M.Umapathy, B.Bandopadhyay.” Vibration Control of Flexible Beam Through Smart Structure Concept Using Periodic Output Feedback”, Journal Of System Science, Vol.26 No.1, Pp 43-66, 2000.Search in Google Scholar

[2].Lennart Ljung, “System identification theory for the user,” Prentice Hall PTR, New Jersey, 1999.Search in Google Scholar

[3].Xiongzhu Bu, Lin Ye, “Zhongqing Su and Chunhui Wang, Active control of a flexible smart beam using a system identification technique based on ARMAX,” Smart materials and Structures, no.12, pp.845-850, 2003.10.1088/0964-1726/12/5/022Search in Google Scholar

[4].S.H.Chen, Xiao-Wei Yang, “Interval finite element method for beam structures,” Finite Elements in Analysis and Design no.34, pp.75-88, 2000.10.1016/S0168-874X(99)00029-3Search in Google Scholar

[5].R.E Moore, Methods and Applications of Interval Analysis, SIAM , 1979.10.1137/1.9781611970906Search in Google Scholar

[6].G.Alefeld, J.Herzberber, Introduced to Interval Computations, Academic Press, New York, 1983.Search in Google Scholar

[7].Manuel Tarrazo, “Calculating uncertainty intervals in approximate equation systems”, Applied Numerical Mathematics, no. 27, pp 59-67, 1998.10.1016/S0168-9274(97)00111-6Search in Google Scholar

[8]Eiji Matsumoto and Yuji Komagome, ‘Intelligent structural elements covered by piezoElectric high-polymer flim”, International Journal on Smart Sensing and Intelligent Systems Vol.1, No.2, June 2008.10.21307/ijssis-2017-298Search in Google Scholar

[9]S.H. Chen, Z.P.Qiu, “A new method for computing the upper and lower bounds on frequencies of structures with interval parameters”, Mech, Res. Commun. No.2, pp.583592, 1994.Search in Google Scholar

[10].R.L.Muhanna and R.L.Mullen, “Uncertainty in mechanics problems – interval based approach”, J.Enegy.Mech.,ASCE, Vol.127, no.6, pp.557-566, 2001.10.1061/(ASCE)0733-9399(2001)127:6(557)Search in Google Scholar

[11].R.L.Muhanna and R.L.Mullen, “Bounds of structural response for all possible loading combinations”, J.Struct.Engrg., ASCE,Vol.125,no.1, pp.98-106, 1999.10.1061/(ASCE)0733-9445(1999)125:1(98)Search in Google Scholar

[12].D.Ezhilarasi, M.Umapathy, B.Banddyopadhayay,” Design and experimental evaluation of piecewise output feedback control for structure vibration suppression”, Journal of Smart Materials and Structures. No.15,pp.1927-1938, 2006.Search in Google Scholar

[13].H. Werner and K. Furuta, “Simultaneous stabilization based on output measurements,” Kybernetika, vol.31, no.4,pp. 395-411, 1995.Search in Google Scholar

[14].H. Werner and K. Furuta, “Simultaneous stabilization by piecewise constant periodic output feedback,” Control Theory and Advanced Technology, vol.10,no.4, pp. 17631775,1995.Search in Google Scholar

[15]H. Werner, “Multimodel robust control by fast output sampling,” - An LMI approach, Automatica, vol.3,no. 12, pp.1625-1630 1998.10.1016/S0005-1098(98)80018-6Search in Google Scholar