Adaptive self-organizing fuzzy sliding mode controller for a nonlocal strain gradient nanobeam

European Journal of Control - Tập 65 - Trang 100626 - 2022
Arman Rajaei1, Amir Chizfahm1, Ramin Vatankhah1, Allahyar Montazeri2
1School of Mechanical Engineering, Shiraz University, Shiraz, Iran
2Engineering Department, Lancaster University, Bailrigg, Lancaster, LA1 4YW, UK

Tài liệu tham khảo

Azrar, 1999, A semi-analytical approach to the nonlinear dynamic response problem of S–S and C–C beams at large vibration amplitudes part I: general theory and application to the single mode approach to free and forced vibration analysis, J. Sound Vib., 224, 183, 10.1006/jsvi.1998.1893 Batra, 2008, Vibrations of narrow microbeams predeformed by an electric field, J. Sound Vib., 309, 600, 10.1016/j.jsv.2007.07.030 Challamel, 2013, Variational formulation of gradient or/and nonlocal higher-order shear elasticity beams, Compos. Struct., 105, 351, 10.1016/j.compstruct.2013.05.026 Chen, 1990, Adaptive control of nonlinear systems using neural networks, Proc. IEEE Conf. Decis. Control, 3, 1707 Chen, 2019, Stability and nonlinear vibration analysis of an axially loaded nanobeam based on nonlocal strain gradient theory, Int. J. Appl. Mech., 11, 10.1142/S1758825119500698 Chen, 2019, Nonlinear free vibration of nanobeams based on nonlocal strain gradient theory with the consideration of thickness-dependent size effect, J. Mech. Mater. Struct., 14, 119, 10.2140/jomms.2019.14.119 De Abreu, 2002, A self-organizing fuzzy logic controller for the active control of flexible structures using piezoelectric actuators, Appl. Soft Comput., 1, 271, 10.1016/S1568-4946(02)00020-0 De Boer, 2004, High-performance surface-micromachined inchworm actuator, J. Microelectromech. Syst., 13, 63, 10.1109/JMEMS.2003.823236 Duan, 2007, Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics, J. Appl. Phys., 101, 10.1063/1.2423140 Ebrahimi, 2015, Size-dependent free flexural vibrational behavior of functionally graded nanobeams using semi-analytical differential transform method, Compos. Part B Eng., 79, 156, 10.1016/j.compositesb.2015.04.010 Eringen, 1972, Nonlocal polar elastic continua, Int. J. Eng. Sci., 10, 1, 10.1016/0020-7225(72)90070-5 Evans, 1998, A microbend test method for measuring the plasticity length scale, Acta Mater, 46, 5109, 10.1016/S1359-6454(98)00153-0 Farbrother, 1991, Fuzzy self-organising control of a remotely operated submersible, IEE Conf. Publ., 1, 499 Fleck, 1993, A phenomenological theory for strain gradient effects in plasticity, J. Mech. Phys. Solids, 41, 1825, 10.1016/0022-5096(93)90072-N Ghorbani, 2019, Determination of carbon nanotubes size-dependent parameters: molecular dynamics simulation and nonlocal strain gradient continuum shell model, Mech. Based Des. Struct. Mach. Guan, 2017, Adaptive power management strategy for a four-mode hybrid electric vehicle, Energy Procedia, 105, 2403, 10.1016/j.egypro.2017.03.689 Hu, 2008, Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes, J. Mech. Phys. Solids, 56, 3475, 10.1016/j.jmps.2008.08.010 Huang, 2000, A stable self-organizing fuzzy controller for robotic motion control, IEEE Trans. Ind. Electron., 47, 421, 10.1109/41.836358 Huang, 2003, Adaptive fuzzy controller with sliding surface for vehicle suspension control, IEEE Trans. Fuzzy Syst., 11, 550, 10.1109/TFUZZ.2003.814845 Jalili, 2004, A fresh insight into the microcantilever-sample interaction problem in non-contact atomic force microscopy, J. Dyn. Syst. Meas. Control. Trans. ASME, 126, 327, 10.1115/1.1767852 Karami, 2018, Hygrothermal wave propagation in viscoelastic graphene under in-plane magnetic field based on nonlocal strain gradient theory, Phys. E Low-Dimens. Syst. Nanostruct., 97, 317, 10.1016/j.physe.2017.11.020 Lam, 2003, Experiments and theory in strain gradient elasticity, J. Mech. Phys. Solids, 51, 1477, 10.1016/S0022-5096(03)00053-X Lenci, 2006, Control of pull-in dynamics in a nonlinear thermoelastic electrically actuated microbeam, J. Micromech. Microeng., 16, 390, 10.1088/0960-1317/16/2/025 Li, 2018, The effect of thickness on the mechanics of nanobeams, Int. J. Eng. Sci., 123, 81, 10.1016/j.ijengsci.2017.11.021 Lian, 2014, Adaptive self-organizing fuzzy sliding-mode radial basis-function neural-network controller for robotic systems, IEEE Trans. Ind. Electron., 61, 1493, 10.1109/TIE.2013.2258299 Lian, 2006, New modifying self-organizing fuzzy controller for robotic motion control, Int. J. Adv. Manuf. Technol., 29, 1074, 10.1007/s00170-005-2606-0 Lim, 2015, A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation, J. Mech. Phys. Solids, 78, 298, 10.1016/j.jmps.2015.02.001 Lin, 2008, A stable self-learning optimal fuzzy control system, Asian J. Control, 1, 169, 10.1111/j.1934-6093.1999.tb00017.x Mehralian, 2017, Calibration of nonlocal strain gradient shell model for buckling analysis of nanotubes using molecular dynamics simulations, Phys. B Condens. Matter, 521, 102, 10.1016/j.physb.2017.06.058 Mindlin, 1965, Second gradient of strain and surface-tension in linear elasticity, Int. J. Solids Struct., 1, 417, 10.1016/0020-7683(65)90006-5 Mindlin, 1989, Effects of couple-stresses in linear elasticity, Collect. Pap. Raymond D. Mindlin, I, 539, 10.1007/978-1-4613-8865-4_67 Moeenfard, 2013, Analytical closed form model for static pull-in analysis in electrostatically actuated torsional micromirrors, J. Mech. Sci. Technol., 27, 1443, 10.1007/s12206-013-0214-8 Mohammadi, 2018, Calibration of nonlocal strain gradient shell model for vibration analysis of a CNT conveying viscous fluid using molecular dynamics simulation, Comput. Mater. Sci., 148, 104, 10.1016/j.commatsci.2018.02.036 Narendra, 1987, A new adaptive law for robust adaptation without persistent excitation, IEEE Trans. Automat. Contr., 32, 134, 10.1109/TAC.1987.1104543 Nemati, 2018, Design and development of a novel controller for robust attitude stabilisation of an unmanned air vehicle for nuclear environments, 373 Nemati, 2018, Analysis and design of a multi-channel time-varying sliding mode controller and its application in unmanned aerial vehicles, IFAC-PapersOnLine, 51, 244, 10.1016/j.ifacol.2018.11.549 Oveisi, 2018, Optimal input excitation design for nonparametric uncertainty quantification of multi-input multi-output systems, IFAC-PapersOnLine, 51, 114, 10.1016/j.ifacol.2018.09.100 Oveisi, 2018, Frequency domain subspace identification of multivariable dynamical systems for robust control design, IFAC-PapersOnLine, 51, 990, 10.1016/j.ifacol.2018.09.065 Procyk, 1979, A linguistic self-organizing process controller, Automatica, 15, 15, 10.1016/0005-1098(79)90084-0 Rahmani, 2014, Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory, Int. J. Eng. Sci., 77, 55, 10.1016/j.ijengsci.2013.12.003 Rajaei, 2019, Integral sliding mode control for nonlinear damped model of arch microbeams, Microsyst. Technol., 25, 57, 10.1007/s00542-018-3931-1 Rajaei, 2019, Control of malaria outbreak using a non-linear robust strategy with adaptive gains, IET Control Theory Appl., 13, 2308, 10.1049/iet-cta.2018.5292 Rajaei, 2020, Nonsingular decoupled terminal sliding-mode control for a class of fourth-order under-actuated nonlinear systems with unknown external disturbance, Eng. Res. Express, 2, 10.1088/2631-8695/abb3b1 Reddy, 2007, Nonlocal theories for bending, buckling and vibration of beams, Int. J. Eng. Sci., 45, 288, 10.1016/j.ijengsci.2007.04.004 Simsek, 2016, Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach, Int. J. Eng. Sci., 105, 12, 10.1016/j.ijengsci.2016.04.013 P.F.R Sutton, G. Roberts, “Scope and limitations of a fuzzy self-organising controller for warship stabilisation.” Tajaddodianfar, 2015, On the dynamics of bistable micro/nano resonators: analytical solution and nonlinear behavior, Commun. Nonlinear Sci. Numer. Simul., 20, 1078, 10.1016/j.cnsns.2014.06.048 Tang, 2019, Coupling effect of thickness and shear deformation on size-dependent bending of micro/nano-scale porous beams, Appl. Math. Model., 66, 527, 10.1016/j.apm.2018.09.027 Tang, 2019, Vibration of nonlocal strain gradient beams incorporating Poisson's ratio and thickness effects, Thin Walled Struct., 137, 377, 10.1016/j.tws.2019.01.027 Truong, 2011, Parallel control for electro-hydraulic load simulator using online self tuning fuzzy PID technique, Asian J. Control, 13, 522, 10.1002/asjc.348 Vahidi-Moghaddam, 2019, Disturbance-observer-based fuzzy terminal sliding mode control for MIMO uncertain nonlinear systems, Appl. Math. Model., 70, 109, 10.1016/j.apm.2019.01.010 Vahidi-Moghaddam, 2018, Terminal sliding mode control with non-symmetric input saturation for vibration suppression of electrostatically actuated nanobeams in the presence of Casimir force, Appl. Math. Model., 60, 416, 10.1016/j.apm.2018.03.025 Vatankhah, 2015, Observer-based vibration control of non-classical microcantilevers using extended Kalman filters, Appl. Math. Model., 39, 5986, 10.1016/j.apm.2015.01.047 Vatankhah, 2015, Lyapunov-based boundary control of strain gradient microscale beams with exponential decay rate, J. Vib. Acoust. Trans. ASME, 137, 10.1115/1.4028964 Wang, 2017, An adaptive sliding self-organizing fuzzy controller for switched reluctance motor drive systems, 383 Wu, 2018, Fuzzy sliding-mode strategy for air–fuel ratio control of lean-burn spark ignition engines, Asian J. Control, 20, 149, 10.1002/asjc.1544 Yang, 1992 Yang, 2002, Couple stress based strain gradient theory for elasticity, Int. J. Solids Struct., 39, 2731, 10.1016/S0020-7683(02)00152-X Yousefpour, 2020, Stabilization of nonlinear vibrations of carbon nanotubes using observer-based terminal sliding mode control, Trans. Inst. Meas. Control, 42, 1047, 10.1177/0142331219881547 Zeighampour, 2017, Wave propagation in double-walled carbon nanotube conveying fluid considering slip boundary condition and shell model based on nonlocal strain gradient theory, Microfluid. Nanofluidics, 21, 10.1007/s10404-017-1918-3 Zhu, 2017, Closed form solution for a nonlocal strain gradient rod in tension, Int. J. Eng. Sci., 119, 16, 10.1016/j.ijengsci.2017.06.019 Zhu, 2017, Longitudinal and torsional vibrations of size-dependent rods via nonlocal integral elasticity, Int. J. Mech. Sci., 133, 639, 10.1016/j.ijmecsci.2017.09.030