Adaptive second order terminal sliding mode controller for robotic manipulators

In this paper an adaptive second order terminal sliding mode (SOTSM) controller is proposed for controlling robotic manipulators. Instead of the normal control input, its time derivative is used in the proposed controller. The discontinuous sign function is contained in the derivative control and th...

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Published inJournal of the Franklin Institute Vol. 351; no. 4; pp. 2356 - 2377
Main Authors Mondal, Sanjoy, Mahanta, Chitralekha
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2014
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Abstract In this paper an adaptive second order terminal sliding mode (SOTSM) controller is proposed for controlling robotic manipulators. Instead of the normal control input, its time derivative is used in the proposed controller. The discontinuous sign function is contained in the derivative control and the actual control obtained after integration is continuous and hence chatterless. An adaptive tuning method is utilized to deal with the system uncertainties whose upper bounds are not required to be known in advance. The performance of the proposed control strategy is evaluated through the control of a two-link rigid robotic manipulator. Simulation results demonstrate the effectiveness of the proposed control method. •An adaptive second order terminal sliding mode controller is designed for a two link robotic manipulator.•The adaptive tuning law implemented in the proposed controller eliminates the need for any prior knowledge about the uncertainty bound of the robotic manipulator.•The actual control signal obtained by integrating the derivative control signal is smooth and chattering free.•The proposed control law results in lesser total variation in the control input and requires lesser control energy.
AbstractList In this paper an adaptive second order terminal sliding mode (SOTSM) controller is proposed for controlling robotic manipulators. Instead of the normal control input, its time derivative is used in the proposed controller. The discontinuous sign function is contained in the derivative control and the actual control obtained after integration is continuous and hence chatterless. An adaptive tuning method is utilized to deal with the system uncertainties whose upper bounds are not required to be known in advance. The performance of the proposed control strategy is evaluated through the control of a two-link rigid robotic manipulator. Simulation results demonstrate the effectiveness of the proposed control method. •An adaptive second order terminal sliding mode controller is designed for a two link robotic manipulator.•The adaptive tuning law implemented in the proposed controller eliminates the need for any prior knowledge about the uncertainty bound of the robotic manipulator.•The actual control signal obtained by integrating the derivative control signal is smooth and chattering free.•The proposed control law results in lesser total variation in the control input and requires lesser control energy.
Author Mahanta, Chitralekha
Mondal, Sanjoy
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  givenname: Chitralekha
  surname: Mahanta
  fullname: Mahanta, Chitralekha
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Cites_doi 10.1109/9.362847
10.1109/TVT.2010.2100415
10.1016/S0959-1524(02)00062-8
10.1080/00207170601185046
10.1109/9.746266
10.1049/el:19981546
10.1049/ip-cta:19960378
10.1049/ip-cta:20040956
10.1049/iet-pel.2010.0071
10.1023/A:1008318928840
10.1109/9.29408
10.1049/iet-cta.2011.0478
10.1016/S0005-1098(02)00194-2
10.23919/ACC.1992.4792209
10.1109/9.661074
10.1080/00207178308933088
10.1016/S0005-1098(02)00147-4
10.1016/j.neucom.2011.05.002
10.1016/j.jmaa.2005.11.046
10.1080/00207179008953575
10.1080/00207179.2010.501385
10.1109/TIE.2009.2026378
10.1109/TIE.2009.2018437
10.1109/TIE.1987.350917
10.1109/41.184817
10.1016/j.automatica.2005.07.001
10.1080/00207170701650303
10.1109/AMC.2000.862901
10.1109/87.761053
10.1080/00207179308923053
10.1007/s10846-006-9101-1
10.1109/41.232228
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References Slotine, Sastry (bib11) 1983; 38
Craig (bib6) 1988
Kreutz (bib3) 1989; 34
Yu, Yu, Shirinzadeh, Man (bib23) 2005; 41
Hashimoto, Maruyama, Harashima (bib16) 1987; 34
Ferrara, Magnani (bib10) 2007; 48
Liu (bib7) 1999; 44
Yan, Edwards, Spurgeon, Bleijs (bib38) 2004; 151
Mondal, Mahanta (bib35) 2012; 6
Moulay, Perruquetti (bib31) 2008; 81
Wijesoma, Richards (bib12) 1990; 52
Emelyanov (bib13) 1967; 35
Young, Utkin, Özgüner (bib15) 1999; 7
Feng, Yu, Man (bib17) 2002; 38
Young (bib20) 1993
Edwards, Spurgeon (bib34) 1998
Zhihong, Paplinski, Wu (bib22) 1994; 39
P. Poignet, M. Gautier, Nonlinear model predictive control of a robot manipulator, in: Proceedings of the 6th International Workshop on Advanced Motion Control, Nagoya, Japan, 2000, pp. 401–406.
Wang, Zhang, Yuan, Liu (bib25) 2011; 60
Bartolini, Ferrara, Usai (bib27) 1998; 43
Feng, Han, Wang, Yu (bib24) 2007; 80
S.T. Venkataraman, S. Gulati, Control of nonlinear systems using terminal sliding modes, in: Proceedings of American Control Conference, IEEE, 1992, pp. 891–893.
Plestan, Shtessel, Bregeault, Poznyak (bib30) 2010; 83
Chiacchio, Pierrot, Sciavicco, Siciliano (bib1) 1993; 40
Skogestad (bib42) 2003; 13
Defoort, Nollet, Floquet, Perruquetti (bib41) 2009; 56
Zhang, Yang, Jing, Zhang (bib28) 2009; 56
Asada, Slotine (bib8) 1986
Utkin (bib33) 1992
Shyu, Tsai, Lai (bib36) 1998; 34
Utkin, Young (bib14) 1978; 39
Spong, Lewis, Abdallah (bib4) 1993
Bartolini, Ferrara, Punta (bib9) 2000; 10
Shyu, Chu, Shang (bib18) 1996; 143
Hang, Gao, Hung (bib19) 1993; 40
Chang, Chang, Liang, Chen (bib26) 2011; 4
H. Li, X. Liao, C. Li, C. Li, Chaos control and synchronization via a novel chatter free sliding mode control strategy, Neurocomputing 74 (17) (2011) 3212–3222.
Sciavicco, Siciliano (bib2) 2000
Xie, Xie, Wang, Guo (bib37) 2000; 147
Levant (bib40) 1993; 58
Moulay, Perruquetti (bib32) 2006; 323
Yan, Xie (bib39) 2003; 39
Skogestad (10.1016/j.jfranklin.2013.08.027_bib42) 2003; 13
Chang (10.1016/j.jfranklin.2013.08.027_bib26) 2011; 4
Yan (10.1016/j.jfranklin.2013.08.027_bib38) 2004; 151
Moulay (10.1016/j.jfranklin.2013.08.027_bib31) 2008; 81
Asada (10.1016/j.jfranklin.2013.08.027_bib8) 1986
Feng (10.1016/j.jfranklin.2013.08.027_bib17) 2002; 38
Spong (10.1016/j.jfranklin.2013.08.027_bib4) 1993
Shyu (10.1016/j.jfranklin.2013.08.027_bib36) 1998; 34
Young (10.1016/j.jfranklin.2013.08.027_bib20) 1993
Mondal (10.1016/j.jfranklin.2013.08.027_bib35) 2012; 6
Utkin (10.1016/j.jfranklin.2013.08.027_bib33) 1992
Wijesoma (10.1016/j.jfranklin.2013.08.027_bib12) 1990; 52
Levant (10.1016/j.jfranklin.2013.08.027_bib40) 1993; 58
Shyu (10.1016/j.jfranklin.2013.08.027_bib18) 1996; 143
10.1016/j.jfranklin.2013.08.027_bib29
10.1016/j.jfranklin.2013.08.027_bib5
Edwards (10.1016/j.jfranklin.2013.08.027_bib34) 1998
Yan (10.1016/j.jfranklin.2013.08.027_bib39) 2003; 39
10.1016/j.jfranklin.2013.08.027_bib21
Kreutz (10.1016/j.jfranklin.2013.08.027_bib3) 1989; 34
Xie (10.1016/j.jfranklin.2013.08.027_bib37) 2000; 147
Defoort (10.1016/j.jfranklin.2013.08.027_bib41) 2009; 56
Bartolini (10.1016/j.jfranklin.2013.08.027_bib27) 1998; 43
Zhang (10.1016/j.jfranklin.2013.08.027_bib28) 2009; 56
Hang (10.1016/j.jfranklin.2013.08.027_bib19) 1993; 40
Sciavicco (10.1016/j.jfranklin.2013.08.027_bib2) 2000
Emelyanov (10.1016/j.jfranklin.2013.08.027_bib13) 1967; 35
Feng (10.1016/j.jfranklin.2013.08.027_bib24) 2007; 80
Yu (10.1016/j.jfranklin.2013.08.027_bib23) 2005; 41
Slotine (10.1016/j.jfranklin.2013.08.027_bib11) 1983; 38
Wang (10.1016/j.jfranklin.2013.08.027_bib25) 2011; 60
Bartolini (10.1016/j.jfranklin.2013.08.027_bib9) 2000; 10
Craig (10.1016/j.jfranklin.2013.08.027_bib6) 1988
Utkin (10.1016/j.jfranklin.2013.08.027_bib14) 1978; 39
Liu (10.1016/j.jfranklin.2013.08.027_bib7) 1999; 44
Young (10.1016/j.jfranklin.2013.08.027_bib15) 1999; 7
Hashimoto (10.1016/j.jfranklin.2013.08.027_bib16) 1987; 34
Moulay (10.1016/j.jfranklin.2013.08.027_bib32) 2006; 323
Plestan (10.1016/j.jfranklin.2013.08.027_bib30) 2010; 83
Ferrara (10.1016/j.jfranklin.2013.08.027_bib10) 2007; 48
Chiacchio (10.1016/j.jfranklin.2013.08.027_bib1) 1993; 40
Zhihong (10.1016/j.jfranklin.2013.08.027_bib22) 1994; 39
References_xml – volume: 81
  start-page: 797
  year: 2008
  end-page: 803
  ident: bib31
  article-title: Finite time stability conditions for non autonomous continuous systems
  publication-title: International Journal of Control
– volume: 52
  start-page: 935
  year: 1990
  end-page: 962
  ident: bib12
  article-title: Robust trajectory following of robots using computed torque structure with VSS
  publication-title: International Journal of Control
– volume: 41
  start-page: 1957
  year: 2005
  end-page: 1964
  ident: bib23
  article-title: Continuous finite-time control for robotic manipulators with terminal sliding mode
  publication-title: Automatica
– volume: 4
  start-page: 159
  year: 2011
  end-page: 167
  ident: bib26
  article-title: Digital-signal-processor-based DC/AC inverter with integral-compensation terminal sliding-mode control
  publication-title: IET Power Electronics
– volume: 39
  start-page: 2464
  year: 1994
  end-page: 2469
  ident: bib22
  article-title: A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators
  publication-title: IEEE Transactions on Automatic Control
– year: 1993
  ident: bib20
  article-title: Variable Structure Control for Robotics and Aerospace Systems
– year: 1998
  ident: bib34
  article-title: Sliding Mode Control
– volume: 143
  start-page: 283
  year: 1996
  end-page: 288
  ident: bib18
  article-title: Control of rigid robot manipulators via combination of adaptive sliding mode control and compensated inverse dynamics approach
  publication-title: Proceedings of IEE Control Theory and Application
– volume: 80
  start-page: 856
  year: 2007
  end-page: 862
  ident: bib24
  article-title: Second-order terminal sliding mode control of uncertain multivariable systems
  publication-title: International Journal of Control
– volume: 60
  start-page: 421
  year: 2011
  end-page: 432
  ident: bib25
  article-title: Position-sensorless hybrid sliding-mode control of electric vehicles with brushless DC motor
  publication-title: IEEE Transactions on Vehicular Technology
– volume: 58
  start-page: 1247
  year: 1993
  end-page: 1263
  ident: bib40
  article-title: Sliding order and sliding accuracy in sliding mode control
  publication-title: International Journal of Control
– volume: 34
  start-page: 763
  year: 1989
  end-page: 767
  ident: bib3
  article-title: On manipulator control by exact linearization
  publication-title: IEEE Transactions on Automatic Control
– volume: 323
  start-page: 1430
  year: 2006
  end-page: 1443
  ident: bib32
  article-title: Finite time stability and stabilization of a class of continuous systems
  publication-title: Journal of Math Analysis Application
– volume: 10
  start-page: 277
  year: 2000
  end-page: 296
  ident: bib9
  article-title: Multi-input second-order sliding-mode hybrid control of constrained manipulators
  publication-title: Dynamics and Control
– volume: 34
  start-page: 2359
  year: 1998
  end-page: 2360
  ident: bib36
  article-title: Sliding mode control for mismatched uncertain systems
  publication-title: Electronics Letters
– volume: 13
  start-page: 291
  year: 2003
  end-page: 309
  ident: bib42
  article-title: Simple analytic rules for model reduction and pid controller tuning
  publication-title: Journal of Process Control
– reference: H. Li, X. Liao, C. Li, C. Li, Chaos control and synchronization via a novel chatter free sliding mode control strategy, Neurocomputing 74 (17) (2011) 3212–3222.
– volume: 38
  start-page: 2159
  year: 2002
  end-page: 2167
  ident: bib17
  article-title: Non-singular terminal sliding mode control of rigid manipulators
  publication-title: Automatica
– volume: 56
  start-page: 3330
  year: 2009
  end-page: 3336
  ident: bib28
  article-title: Congestion control for Diffserv network using second-order sliding mode control
  publication-title: IEEE Transactions on Industrial Electronics
– volume: 39
  start-page: 91
  year: 2003
  end-page: 99
  ident: bib39
  article-title: Reduced-order control for a class of nonlinear similar interconnected systems with mismatched uncertainty
  publication-title: Automatica
– reference: S.T. Venkataraman, S. Gulati, Control of nonlinear systems using terminal sliding modes, in: Proceedings of American Control Conference, IEEE, 1992, pp. 891–893.
– volume: 83
  start-page: 1907
  year: 2010
  end-page: 1919
  ident: bib30
  article-title: New methodologies for adaptive sliding mode control
  publication-title: International Journal of Control
– volume: 43
  start-page: 241
  year: 1998
  end-page: 246
  ident: bib27
  article-title: Chattering avoidance by second-order sliding mode control
  publication-title: IEEE Transactions on Automatic Control
– volume: 39
  start-page: 1466
  year: 1978
  end-page: 1470
  ident: bib14
  article-title: Methods for constructing discontinuity planes in multidimensional variable structure systems
  publication-title: Automatic Remote Control
– volume: 38
  start-page: 465
  year: 1983
  end-page: 492
  ident: bib11
  article-title: Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators
  publication-title: International Journal of Control
– volume: 35
  start-page: 120
  year: 1967
  end-page: 125
  ident: bib13
  article-title: Variable structure control systems
  publication-title: Nauka
– year: 1986
  ident: bib8
  article-title: Robot Analysis and Control
– volume: 151
  start-page: 627
  year: 2004
  end-page: 635
  ident: bib38
  article-title: Decentralised sliding-mode control for multimachine power systems using only output information
  publication-title: IEE Proceedings of Control Theory Application
– volume: 40
  start-page: 393
  year: 1993
  end-page: 403
  ident: bib1
  article-title: Robust design of independent joint controllers with experimentation on a high-speed parallel robot
  publication-title: IEEE Transactions on Industrial Electronics
– volume: 40
  start-page: 2
  year: 1993
  end-page: 22
  ident: bib19
  article-title: Variable structure control
  publication-title: IEEE Transactions on Industrial Electronics
– year: 1988
  ident: bib6
  article-title: Adaptive Control of Mechanical Manipulators
– volume: 147
  start-page: 355
  year: 2000
  end-page: 365
  ident: bib37
  article-title: Decentralized control of multimachine power systems with guaranteed performance
  publication-title: IEE Proceedings Part D
– year: 2000
  ident: bib2
  article-title: Modelling and Control of Robot Manipulators
– volume: 7
  start-page: 328
  year: 1999
  end-page: 342
  ident: bib15
  article-title: A control engineer's guide to sliding mode control
  publication-title: IEEE Transactions on Control System Technology
– volume: 48
  start-page: 23
  year: 2007
  end-page: 36
  ident: bib10
  article-title: Motion control of rigid robot manipulators via first and second order sliding modes
  publication-title: Journal of Intelligent and Robotic Systems
– volume: 34
  start-page: 11
  year: 1987
  end-page: 18
  ident: bib16
  article-title: A microprocessor based robot manipulator control with sliding mode
  publication-title: IEEE Transactions on Industrial Electronics
– reference: P. Poignet, M. Gautier, Nonlinear model predictive control of a robot manipulator, in: Proceedings of the 6th International Workshop on Advanced Motion Control, Nagoya, Japan, 2000, pp. 401–406.
– volume: 44
  start-page: 357
  year: 1999
  end-page: 363
  ident: bib7
  article-title: Decentralized control of robot manipulators
  publication-title: IEEE Transactions on Automatic Control
– volume: 56
  start-page: 3337
  year: 2009
  end-page: 3346
  ident: bib41
  article-title: A third-order sliding-mode controller for a stepper motor
  publication-title: IEEE Transactions on Industrial Electronics
– volume: 6
  start-page: 2157
  year: 2012
  end-page: 2167
  ident: bib35
  article-title: Adaptive second-order sliding mode controller for a twin rotor multi-input multi-output system
  publication-title: IET Control Theory & Applications
– year: 1992
  ident: bib33
  article-title: Sliding Modes in Control and Optimization
– year: 1993
  ident: bib4
  article-title: Robot Control
– volume: 39
  start-page: 2464
  issue: 12
  year: 1994
  ident: 10.1016/j.jfranklin.2013.08.027_bib22
  article-title: A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/9.362847
– volume: 60
  start-page: 421
  issue: 2
  year: 2011
  ident: 10.1016/j.jfranklin.2013.08.027_bib25
  article-title: Position-sensorless hybrid sliding-mode control of electric vehicles with brushless DC motor
  publication-title: IEEE Transactions on Vehicular Technology
  doi: 10.1109/TVT.2010.2100415
– volume: 13
  start-page: 291
  year: 2003
  ident: 10.1016/j.jfranklin.2013.08.027_bib42
  article-title: Simple analytic rules for model reduction and pid controller tuning
  publication-title: Journal of Process Control
  doi: 10.1016/S0959-1524(02)00062-8
– volume: 80
  start-page: 856
  issue: 6
  year: 2007
  ident: 10.1016/j.jfranklin.2013.08.027_bib24
  article-title: Second-order terminal sliding mode control of uncertain multivariable systems
  publication-title: International Journal of Control
  doi: 10.1080/00207170601185046
– year: 1988
  ident: 10.1016/j.jfranklin.2013.08.027_bib6
– volume: 44
  start-page: 357
  issue: 2
  year: 1999
  ident: 10.1016/j.jfranklin.2013.08.027_bib7
  article-title: Decentralized control of robot manipulators
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/9.746266
– volume: 34
  start-page: 2359
  issue: 24
  year: 1998
  ident: 10.1016/j.jfranklin.2013.08.027_bib36
  article-title: Sliding mode control for mismatched uncertain systems
  publication-title: Electronics Letters
  doi: 10.1049/el:19981546
– volume: 143
  start-page: 283
  year: 1996
  ident: 10.1016/j.jfranklin.2013.08.027_bib18
  article-title: Control of rigid robot manipulators via combination of adaptive sliding mode control and compensated inverse dynamics approach
  publication-title: Proceedings of IEE Control Theory and Application
  doi: 10.1049/ip-cta:19960378
– volume: 151
  start-page: 627
  issue: 5
  year: 2004
  ident: 10.1016/j.jfranklin.2013.08.027_bib38
  article-title: Decentralised sliding-mode control for multimachine power systems using only output information
  publication-title: IEE Proceedings of Control Theory Application
  doi: 10.1049/ip-cta:20040956
– volume: 4
  start-page: 159
  issue: 1
  year: 2011
  ident: 10.1016/j.jfranklin.2013.08.027_bib26
  article-title: Digital-signal-processor-based DC/AC inverter with integral-compensation terminal sliding-mode control
  publication-title: IET Power Electronics
  doi: 10.1049/iet-pel.2010.0071
– year: 2000
  ident: 10.1016/j.jfranklin.2013.08.027_bib2
– volume: 10
  start-page: 277
  issue: 3
  year: 2000
  ident: 10.1016/j.jfranklin.2013.08.027_bib9
  article-title: Multi-input second-order sliding-mode hybrid control of constrained manipulators
  publication-title: Dynamics and Control
  doi: 10.1023/A:1008318928840
– volume: 147
  start-page: 355
  issue: 3
  year: 2000
  ident: 10.1016/j.jfranklin.2013.08.027_bib37
  article-title: Decentralized control of multimachine power systems with guaranteed performance
  publication-title: IEE Proceedings Part D
– volume: 34
  start-page: 763
  issue: 7
  year: 1989
  ident: 10.1016/j.jfranklin.2013.08.027_bib3
  article-title: On manipulator control by exact linearization
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/9.29408
– volume: 6
  start-page: 2157
  issue: 14
  year: 2012
  ident: 10.1016/j.jfranklin.2013.08.027_bib35
  article-title: Adaptive second-order sliding mode controller for a twin rotor multi-input multi-output system
  publication-title: IET Control Theory & Applications
  doi: 10.1049/iet-cta.2011.0478
– volume: 39
  start-page: 91
  issue: 1
  year: 2003
  ident: 10.1016/j.jfranklin.2013.08.027_bib39
  article-title: Reduced-order control for a class of nonlinear similar interconnected systems with mismatched uncertainty
  publication-title: Automatica
  doi: 10.1016/S0005-1098(02)00194-2
– ident: 10.1016/j.jfranklin.2013.08.027_bib21
  doi: 10.23919/ACC.1992.4792209
– volume: 43
  start-page: 241
  issue: 2
  year: 1998
  ident: 10.1016/j.jfranklin.2013.08.027_bib27
  article-title: Chattering avoidance by second-order sliding mode control
  publication-title: IEEE Transactions on Automatic Control
  doi: 10.1109/9.661074
– volume: 38
  start-page: 465
  year: 1983
  ident: 10.1016/j.jfranklin.2013.08.027_bib11
  article-title: Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators
  publication-title: International Journal of Control
  doi: 10.1080/00207178308933088
– year: 1986
  ident: 10.1016/j.jfranklin.2013.08.027_bib8
– volume: 38
  start-page: 2159
  year: 2002
  ident: 10.1016/j.jfranklin.2013.08.027_bib17
  article-title: Non-singular terminal sliding mode control of rigid manipulators
  publication-title: Automatica
  doi: 10.1016/S0005-1098(02)00147-4
– year: 1993
  ident: 10.1016/j.jfranklin.2013.08.027_bib4
– ident: 10.1016/j.jfranklin.2013.08.027_bib29
  doi: 10.1016/j.neucom.2011.05.002
– volume: 323
  start-page: 1430
  issue: 2
  year: 2006
  ident: 10.1016/j.jfranklin.2013.08.027_bib32
  article-title: Finite time stability and stabilization of a class of continuous systems
  publication-title: Journal of Math Analysis Application
  doi: 10.1016/j.jmaa.2005.11.046
– volume: 52
  start-page: 935
  year: 1990
  ident: 10.1016/j.jfranklin.2013.08.027_bib12
  article-title: Robust trajectory following of robots using computed torque structure with VSS
  publication-title: International Journal of Control
  doi: 10.1080/00207179008953575
– volume: 83
  start-page: 1907
  issue: 9
  year: 2010
  ident: 10.1016/j.jfranklin.2013.08.027_bib30
  article-title: New methodologies for adaptive sliding mode control
  publication-title: International Journal of Control
  doi: 10.1080/00207179.2010.501385
– year: 1992
  ident: 10.1016/j.jfranklin.2013.08.027_bib33
– volume: 56
  start-page: 3337
  issue: 9
  year: 2009
  ident: 10.1016/j.jfranklin.2013.08.027_bib41
  article-title: A third-order sliding-mode controller for a stepper motor
  publication-title: IEEE Transactions on Industrial Electronics
  doi: 10.1109/TIE.2009.2026378
– volume: 56
  start-page: 3330
  issue: 9
  year: 2009
  ident: 10.1016/j.jfranklin.2013.08.027_bib28
  article-title: Congestion control for Diffserv network using second-order sliding mode control
  publication-title: IEEE Transactions on Industrial Electronics
  doi: 10.1109/TIE.2009.2018437
– volume: 34
  start-page: 11
  year: 1987
  ident: 10.1016/j.jfranklin.2013.08.027_bib16
  article-title: A microprocessor based robot manipulator control with sliding mode
  publication-title: IEEE Transactions on Industrial Electronics
  doi: 10.1109/TIE.1987.350917
– volume: 40
  start-page: 2
  issue: 1
  year: 1993
  ident: 10.1016/j.jfranklin.2013.08.027_bib19
  article-title: Variable structure control
  publication-title: IEEE Transactions on Industrial Electronics
  doi: 10.1109/41.184817
– volume: 41
  start-page: 1957
  year: 2005
  ident: 10.1016/j.jfranklin.2013.08.027_bib23
  article-title: Continuous finite-time control for robotic manipulators with terminal sliding mode
  publication-title: Automatica
  doi: 10.1016/j.automatica.2005.07.001
– volume: 39
  start-page: 1466
  year: 1978
  ident: 10.1016/j.jfranklin.2013.08.027_bib14
  article-title: Methods for constructing discontinuity planes in multidimensional variable structure systems
  publication-title: Automatic Remote Control
– year: 1993
  ident: 10.1016/j.jfranklin.2013.08.027_bib20
– volume: 81
  start-page: 797
  issue: 5
  year: 2008
  ident: 10.1016/j.jfranklin.2013.08.027_bib31
  article-title: Finite time stability conditions for non autonomous continuous systems
  publication-title: International Journal of Control
  doi: 10.1080/00207170701650303
– ident: 10.1016/j.jfranklin.2013.08.027_bib5
  doi: 10.1109/AMC.2000.862901
– volume: 7
  start-page: 328
  issue: 3
  year: 1999
  ident: 10.1016/j.jfranklin.2013.08.027_bib15
  article-title: A control engineer's guide to sliding mode control
  publication-title: IEEE Transactions on Control System Technology
  doi: 10.1109/87.761053
– volume: 58
  start-page: 1247
  issue: 6
  year: 1993
  ident: 10.1016/j.jfranklin.2013.08.027_bib40
  article-title: Sliding order and sliding accuracy in sliding mode control
  publication-title: International Journal of Control
  doi: 10.1080/00207179308923053
– volume: 35
  start-page: 120
  year: 1967
  ident: 10.1016/j.jfranklin.2013.08.027_bib13
  article-title: Variable structure control systems
  publication-title: Nauka
– year: 1998
  ident: 10.1016/j.jfranklin.2013.08.027_bib34
– volume: 48
  start-page: 23
  issue: 1
  year: 2007
  ident: 10.1016/j.jfranklin.2013.08.027_bib10
  article-title: Motion control of rigid robot manipulators via first and second order sliding modes
  publication-title: Journal of Intelligent and Robotic Systems
  doi: 10.1007/s10846-006-9101-1
– volume: 40
  start-page: 393
  issue: 4
  year: 1993
  ident: 10.1016/j.jfranklin.2013.08.027_bib1
  article-title: Robust design of independent joint controllers with experimentation on a high-speed parallel robot
  publication-title: IEEE Transactions on Industrial Electronics
  doi: 10.1109/41.232228
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Snippet In this paper an adaptive second order terminal sliding mode (SOTSM) controller is proposed for controlling robotic manipulators. Instead of the normal control...
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Title Adaptive second order terminal sliding mode controller for robotic manipulators
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