Optimal interval type-2 fuzzy fractional order super twisting algorithm: A second order sliding mode controller for fully-actuated and under-actuated nonlinear systems

ISA Transactions - Tập 85 - Trang 13-32 - 2019
Ehsan Zakeri1, Seyed Alireza Moezi2, Mohammad Eghtesad3
1Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran
2Department of Mechanical Engineering, Yazd University, Yazd, Iran
3School of Mechanical Engineering, Shiraz University, Shiraz, Iran

Tài liệu tham khảo

Utkin, 1978 Slotine, 1991 Chang, 2012, Fuzzy sliding-mode control for ball and beam system with fuzzy ant colony optimization, Expert Syst Appl, 39, 3624, 10.1016/j.eswa.2011.09.052 Qian, 2016 Zakeri, 2018, Tracking control of ball on sphere system using tuned fuzzy sliding mode controller based on artificial bee colony algorithm, Int J Fuzzy Syst, 20, 295, 10.1007/s40815-017-0302-5 Zakeri, 2016, Robust sliding mode control of a mini unmanned underwater vehicle equipped with a new arrangement of water jet propulsions: simulation and experimental study, Appl Ocean Res, 59, 521, 10.1016/j.apor.2016.07.006 Jinkun, 2011 Zeghlache, 2015, Fault tolerant control based on interval type-2 fuzzy sliding mode controller for coaxial trirotor aircraft, ISA Trans, 59, 215, 10.1016/j.isatra.2015.09.006 Xu, 2016, Sliding mode control with sigmoid function for the motion tracking control of the piezo-actuated stages, Electron Lett, 53, 75, 10.1049/el.2016.3558 Fridman, 2002, Higher order sliding modes, 53 Bartolini, 2003, A survey of applications of second-order sliding mode control to mechanical systems, Int J Control, 76, 875, 10.1080/0020717031000099010 Roy, 2016, Cascaded fractional order sliding mode control for trajectory control of a ball and plate system, Trans Inst Meas Control, 2016, 1 Zhang, 2017, Fractional-order sliding mode control for a class of uncertain nonlinear systems based on LQR, Int J Adv Robot Syst, 2017, 1 Levant, 1993, Sliding order and sliding accuracy in sliding mode control, Int J Control, 58, 1247, 10.1080/00207179308923053 Yang, 2017, A modified super-twisting sliding mode control with inner feedback and adaptive gain schedule, Internat J Adapt Control Signal Process, 31, 398, 10.1002/acs.2706 Salgado, 2016, Control of discrete time systems based on recurrent super-twisting-like algorithm, ISA Trans, 64, 47, 10.1016/j.isatra.2016.04.024 Kuntanapreeda, 2015, Super-twisting sliding-mode traction control of vehicles with tractive force observer, Control Eng Practic, 38, 26, 10.1016/j.conengprac.2015.01.004 Haghighi, 2018, Design of an adaptive super-twisting decoupled terminal sliding mode control scheme for a class of fourth-order systems, ISA Trans, 75, 216, 10.1016/j.isatra.2018.02.006 Salgado, 2017, Output feedback control of a skid-steered mobile robot based on the super-twisting algorithm, Control Eng Pract, 58, 193, 10.1016/j.conengprac.2016.10.003 Mohamed, 2017, Adaptive Super Twisting control design for manufactured diesel engine air path, Int J Adv Manuf Technol, 92, 2379, 10.1007/s00170-017-0327-9 Guzmán, 2015, Super-twisting observer for second-order systems with time-varying coefficient, IET Control Theory Appl, 9, 553, 10.1049/iet-cta.2014.0348 Bahrami, 2018, Adaptive super-twisting observer for fault reconstruction in electro-hydraulic systems, ISA Trans, 76, 235, 10.1016/j.isatra.2018.03.014 Levant, 1998, Robust exact differentiation via sliding mode technique, Automatica, 34, 379, 10.1016/S0005-1098(97)00209-4 Yeroğlu, 2014, Sliding mode controller design with fractional order differentiation: applications for unstable time delay systems, Turk J Electr Eng Comput Sci, 22, 1270, 10.3906/elk-1212-149 Muñoz Vázquez, 2017, Fractional sliding mode control of underwater ROVs subject to non-differentiable disturbances, Int J Control. Autom Syst, 15, 1314, 10.1007/s12555-015-0210-0 Dumlu, 2018, Design of a fractional-order adaptive integral sliding mode controller for the trajectory tracking control of robot manipulators, Proc Inst Mech Eng I, Jun, 1 Yang, 2011, Robust finite-time convergence of chaotic systems via adaptive terminal sliding mode scheme, Commun Nonlinear Sci Numer Simul, 16, 2405, 10.1016/j.cnsns.2010.09.022 Bayramoglu, 2013, Nonsingular decoupled terminal sliding-mode control for a class of fourth-order nonlinear systems, Commun Nonlinear Sci Numer Simul, 18, 2527, 10.1016/j.cnsns.2012.11.008 Guo, 2016, Dynamic coordinated control for over-actuated autonomous electric vehicles with nonholonomic constraints via nonsingular terminal sliding mode technique, Nonlinear Dynam, 85, 583, 10.1007/s11071-016-2708-2 Sun, 2016, Finite-time synchronization between two complex-variable chaotic systems with unknown parameters via nonsingular terminal sliding mode control, Nonlinear Dynam, 85, 1105, 10.1007/s11071-016-2747-8 Hušek, 2016, Adaptive sliding mode control with moving sliding surface, Appl Soft Comput, 42, 178, 10.1016/j.asoc.2016.01.009 Yorgancıoğlu, 2008, Single-input fuzzy-like moving sliding surface approach to the sliding mode control, Electr Eng, 90, 199, 10.1007/s00202-007-0074-2 Antić, 2010, Optimal fuzzy sliding mode control with a time-varying sliding surface, 149 Ha, 1999, Fuzzy moving sliding mode control with application to robotic manipulators, Automatica, 35, 607, 10.1016/S0005-1098(98)00169-1 Fayek, 2014, A controller based on Optimal Type-2 Fuzzy Logic: Systematic design, optimization and real-time implementation, ISA Trans, 53, 1583, 10.1016/j.isatra.2014.06.001 Zakeri, 2016, Path planning for unmanned underwater vehicle in 3d space with obstacles using spline-imperialist competitive algorithm and optimal interval type-2 fuzzy logic controller, Lat Am J Solids Struct, 13, 1054, 10.1590/1679-78252029 Tan, 2006, A simplified type-2 fuzzy logic controller for real-time control, ISA Trans, 45, 503, 10.1016/S0019-0578(07)60228-6 Moezi, 2014, Fuzzy logic control of a ball on sphere system, Adv Fuzzy Syst, 2014, 1, 10.1155/2014/291430 Kareem, 2013, A novel adaptive super-twisting sliding mode controller with a single input-single output fuzzy logic control based moving sliding surface, Int J Control Autom, 6, 183 Muhammad, 2017, Comparative study of hierarchical sliding mode control and decoupled sliding mode control, 818 Hwang, 2014, Adaptive fuzzy hierarchical sliding-mode control for the trajectory tracking of uncertain underactuated nonlinear dynamic systems, IEEE Trans Fuzzy Syst, 22, 286, 10.1109/TFUZZ.2013.2253106 Xu, 2014, Super-twisting-algorithm-based terminal sliding mode control for a bioreactor system, Abstr Appl Anal, 2014, 1 Zakeri, 2016, Multi-tracker optimization algorithm: a general algorithm for solving engineering optimization problems, Iran J Sci Technol Trans Mech Eng, 41, 315, 10.1007/s40997-016-0066-9 Liu, 2013, A survey of underactuated mechanical systems, IET Control Theory Appl, 7, 921, 10.1049/iet-cta.2012.0505 Kilbas, 2006 Jakovljević, 2016, On the sliding-mode control of fractional-order nonlinear uncertain dynamics, Internat J Robust Nonlinear Control, 26, 782, 10.1002/rnc.3337 Li, 2007, Remarks on fractional derivatives, Appl Math Comput, 187, 777, 10.1016/j.amc.2006.08.163 Zakeri, 2012, Simultaneous control of GMAW process and SCARA robot in tracking a circular path via a cascade approach, Trends Appl Sci Res, 10 Olfati-Saber, 2001 Moezi, 2014, Control of a ball on sphere system with adaptive neural network method for regulation purpose, J Appl Sci, 14, 1984, 10.3923/jas.2014.1984.1989 Zakeri, 2013, Control of a ball on sphere system with adaptive feedback linearization method for regulation purpose, Majlesi J Mechatron Eng, 2, 7 Moreno, 2008, A Lyapunov approach to second-order sliding mode controllers and observers, 2856 Caponetto, 2015, Identification and fractional super-twisting robust control of IPMC actuators, Fract Calc Appl Anal, 18, 1358, 10.1515/fca-2015-0079 Ha, 2001, Robotic excavator swing control using fuzzy rotating sliding mode, 332 Karnik, 1998, Introduction to type-2 fuzzy logic systems, 915 Liang, 2000, Interval type-2 fuzzy logic systems: theory and design, IEEE Trans Fuzzy Syst, 8, 535, 10.1109/91.873577 Wang, 2011, Simulation studies of inverted pendulum based on PID controllers, Simul Model Pract Theory, 19, 440, 10.1016/j.simpat.2010.08.003 Moezi, 2018, A generally modified cuckoo optimization algorithm for crack detection in cantilever euler–bernoulli beams, Precis Eng, 52, 227, 10.1016/j.precisioneng.2017.12.010 Moezi, 2015, On the application of modified cuckoo optimization algorithm to the crack detection problem of cantilever Euler–Bernoulli beam, Comput Struct, 157, 42, 10.1016/j.compstruc.2015.05.008 Moezi, 2018, Structural single and multiple crack detection in cantilever beams using a hybrid Cuckoo-Nelder–Mead optimization method, Mech Syst Signal Process, 99, 805, 10.1016/j.ymssp.2017.07.013 Rothlauf, 2006 Eberhart, 1995, A new optimizer using particle swarm theory, 39 Moezi, 2016, Simulation and experimental control of a 3-RPR parallel robot using optimal fuzzy controller and fast on/off solenoid valves based on the PWM wave, ISA Trans, 61, 265, 10.1016/j.isatra.2015.12.005 Mishra, 2014, Stabilization and tracking control of inverted pendulum using fractional order PID controllers, J Eng, 2014, 1, 10.1155/2014/752918 Chen, 2016, Simulation of a triple inverted pendulum based on fuzzy control, World J Eng Technol, 4, 267, 10.4236/wjet.2016.42026 Bouarroudj, 2016, Sliding-Mode controller based on fractional order calculus for a class of nonlinear systems, Int J Electr Comput Eng, 6, 2239