Year 2022,
Volume: 4 Issue: 4, 179 - 196, 31.12.2022
Sahar Jenhani
,
Hassène Gritli
,
Professor Giuseppe Carbone
References
- Abbas, M., S. Al Issa, and S. K. Dwivedy, 2021 Event-triggered
adaptive hybrid position-force control for robot-assisted ultrasonic
examination system. Journal of Intelligent & Robotic Systems
102: 84–102.
- Abdul-Adheem, W. R., I. K. Ibraheem, A. J. Humaidi, and A. T.
Azar, 2021 Model-free active input–output feedback linearization
of a single-link flexible joint manipulator: An improved
active disturbance rejection control approach. Measurement and
Control 54: 856–871.
- Ahmed, T.,M. Assad-Uz-Zaman, M. R. Islam, D. Gottheardt, E. Mc-
Gonigle, et al., 2021 Flexohand: A hybrid exoskeleton-based
novel hand rehabilitation device. Micromachines 12.
- Biswal, P. and P. K. Mohanty, 2021 Development of quadruped
walking robots: A review. Ain Shams Engineering Journal 12:
2017–2031.
- Bjelonic, M., N. Kottege, and P. Beckerle, 2016 Proprioceptive control
of an over-actuated hexapod robot in unstructured terrain.
In 2016 IEEE/RSJ International Conference on Intelligent Robots and
Systems (IROS), pp. 2042–2049.
- Chai, H., Y. Li, R. Song, G. Zhang, Q. Zhang, et al., 2021 A survey
of the development of quadruped robots: Joint configuration,
dynamic locomotion control method and mobile manipulation
approach. Biomimetic Intelligence and Robotics p. 100029.
- Chawla, I. and A. Singla, 2021 Real-time stabilization control of
a rotary inverted pendulum using LQR-based sliding mode
controller. Arabian Journal for Science and Engineering 46: 2589–
2596.
- Choukchou-Braham, A., B. Cherki, M. Djemai, and K. Busawon,
2014 Analysis and Control of Underactuated Mechanical Systems.
Springer-Verlag, New York.
- da Costa Barros, I. R. and T. P. Nascimento, 2021 Robotic mobile
fulfillment systems: A survey on recent developments and research
opportunities. Robotics and Autonomous Systems 137:
103729.
- Gonzalez-Aguirre, J. A., R. Osorio-Oliveros, K. L. Rodriguez-
Hernandez, J. Lizarraga-Iturralde, R. M. Menendez, et al., 2021
Service robots: Trends and technology. Applied Sciences 11:
10702.
- González, C., J. E. Solanes, A. Muñoz, L. Gracia, V. Girbés-Juan,
et al., 2021 Advanced teleoperation and control system for industrial
robots based on augmented virtuality and haptic feedback.
Journal of Manufacturing Systems 59: 283–298.
- Gritli, H., 2020 LMI-based robust stabilization of a class of inputconstrained
uncertain nonlinear systems with application to a
helicopter model. Complexity 2020: 7025761.
- Gritli, H. and S. Belghith, 2018 Robust feedback control of the
underactuated Inertia Wheel Inverted Pendulum under parametric
uncertainties and subject to external disturbances: LMI
formulation. Journal of The Franklin Institute 355: 9150–9191.
- Gritli, H. and S. Belghith, 2021 LMI-based synthesis of a robust
saturated controller for an underactuated mechanical system
subject to motion constraints. European Journal of Control 57:
179–193.
- Gritli, H., S. Jenhani, and G. Carbone, 2022 Position control of
robotic systems via an affine PD-based controller: Comparison
between two design approaches. In 2022 5th International Conference
on Advanced Systems and Emergent Technologies (IC_ASET),
pp. 424–432.
- Gu, E. Y. L., 2013 Control of Robotic Systems, volume 1. Springer,
Berlin, Heidelberg.
Gualtieri, L., E. Rauch, and R. Vidoni, 2021 Development and
validation of guidelines for safety in human-robot collaborative
assembly systems. Computers & Industrial Engineering p.
107801.
- Hasan, S. K. and A. K. Dhingra, 2021 Development of a model reference
computed torque controller for a human lower extremity
exoskeleton robot. Proceedings of the Institution of Mechanical
Engineers, Part I: Journal of Systems and Control Engineering
235: 1615–1637.
- Islam, M. R., M. Assad-Uz-Zaman, and M. H. Rahman, 2020 Design
and control of an ergonomic robotic shoulder for wearable
exoskeleton robot for rehabilitation. International Journal of Dynamics
and Control 8: 312–325.
- Jafari, M., S. Mobayen, F. Bayat, and H. Roth, 2023 A nonsingular
terminal sliding algorithm for swing and stance control of a
prosthetic leg robot. Applied Mathematical Modelling 113: 13–
29.
- Jenhani, S., H. Gritli, and G. Carbone, 2022a Design and computation
aid of command gains for the position control of manipulator
robots. In 2022 International Conference on Decision Aid Sciences
and Applications (DASA), pp. 1558–1564.
- Jenhani, S., H. Gritli, and G. Carbone, 2022b Design of an affine
control law for the position control problem of robotic systems
based on the development of a linear dynamic model. In 2022
5th International Conference on Advanced Systems and Emergent
Technologies (IC_ASET), pp. 403–411.
- Jenhani, S., H. Gritli, and G. Carbone, 2022c Determination of
conditions on feedback gains for the position control of robotic
systems under an affine PD-based control law. In 2022 5th International
Conference on Advanced Systems and Emergent Technologies
(IC_ASET), pp. 518–526.
- Jenhani, S., H. Gritli, and G. Carbone, 2022d LMI-based optimization
for the position feedback control of underactuated robotic
systems via an affine PD controller: Case of the pendubot. In
2022 International Conference on Data Analytics for Business and
Industry (ICDABI) (DATA’22), pp. 768–774, virtual, Bahrain.
- Jenhani, S., H. Gritli, and G. Carbone, 2022e Position control of Lagrangian
robotic systems via an affine PID-based controller and
using the LMI approach. In Advances in Italian Mechanism Science,
edited by V. Niola, A. Gasparetto, G. Quaglia, and G. Carbone,
pp. 727–737, Cham, Springer International Publishing.
- Jenhani, S., H. Gritli, and G. Carbone, 2022f Position feedback
control of Lagrangian robotic systems via an affine PD-based
control law. Part 1: Design of LMI conditions. In 2022 IEEE 2nd
International Maghreb Meeting of the Conference on Sciences and
Techniques of Automatic Control and Computer Engineering (MISTA),
pp. 171–176
- Jenhani, S., H. Gritli, and G. Carbone, 2022g Position feedback
control of Lagrangian robotic systems via an affine PD-based control law. Part 2: Improved results. In 2022
IEEE 2nd International Maghreb Meeting of the Conference on Sciences and Techniques
of Automatic Control and Computer Engineering (MI-STA), pp. 177–
182.
- Jiang, Y., K. Lu, C. Gong, and H. Liang, 2020 Robust composite
nonlinear feedback control for uncertain robot manipulators.
International Journal of Advanced Robotic Systems 17:
1729881420914805.
- Kalita, B., J. Narayan, and S. K. Dwivedy, 2021 Development of active
lower limb robotic-based orthosis and exoskeleton devices:
A systematic review. International Journal of Social Robotics 3:
775–793.
- Kelly, R., V. S. Davila, and A. Loría, 2005 Control of Robot Manipulators
in Joint Space. Advanced Textbooks in Control and Signal
Processing, Springer-Verlag, London.
- Koditschek, D. E., 2021 What is robotics? why do we need it and
how can we get it? Annual Review of Control, Robotics, and
Autonomous Systems 4: 1–33.
- Krafes, S., Z. Chalh, and A. Saka, 2018 A review on the control of
second order underactuated mechanical systems. Complexity
2018: 9573514.
- Kurdila, A. J. and P. Ben-Tzvi, 2019 Dynamics and Control of Robotic
Systems. Control Process & Measurements, Wiley, first edition.
- Li, X., B. Liu, and L. Wang, 2020 Control system of the six-axis
serial manipulator based on active disturbance rejection control.
International Journal of Advanced Robotic Systems 17:
1729881420939476.
- Liu, P., M. N. Huda, L. Sun, and H. Yu, 2020 A survey on underactuated
robotic systems: Bio-inspiration, trajectory planning and
control. Mechatronics 72: 102443.
- Liu, Y. and H. Yu, 2013 A survey of underactuated mechanical
systems. IET Control Theory Applications 7: 921–935.
- Mobayen, S., F. Tchier, and L. Ragoub, 2017 Design of an adaptive
tracker for n-link rigid robotic manipulators based on supertwisting
global nonlinear sliding mode control. International
Journal of Systems Science 48: 1990–2002.
- Narayan, J. and S. K. Dwivedy, 2021 Robust LQR-based neuralfuzzy
tracking control for a lower limb exoskeleton system with
parametric uncertainties and external disturbances. Applied
Bionics and Biomechanics 2021: 5573041.
- Nho, H. C. and P. Meckl, 2003 Intelligent feedforward control
and payload estimation for a two-link robotic manipulator.
IEEE/ASME transactions on mechatronics 8: 277–282.
- Parulski, P., P. Bartkowiak, and D. Pazderski, 2021, 11 Evaluation
of linearization methods for control of the pendubot. Applied
Sciences 11: 1–13.
- Perrusquia, A., J. A. Flores-Campos, and C. R. Torres-San-Miguel,
2020 A novel tuning method of PD with gravity compensation
controller for robot manipulators. IEEE Access 8: 114773–114783.
- Singla, A. and G. Singh, 2017 Real-time swing-up and stabilization
control of a cart-pendulum system with constrained cart movement.
International Journal of Nonlinear Sciences and Numerical
Simulation 18: 525–539.
- Spong, M. W., 2022 An historical perspective on the control of
robotic manipulators. Annual Review of Control, Robotics, and
Autonomous Systems 5: 1–31.
- Spong, M.W., S. Hutchinson, and M. Vidyasagar, 2020 Robot Modeling
and Control. Robotics, John Wiley & Sons Inc, second edition.
Tarnita, D., I. D. Geonea, D. Pisla, G. Carbone, B. Gherman, et al.,
2022 Analysis of dynamic behavior of parreex robot used in
upper limb rehabilitation. Applied Sciences 12.
- Tipary, B. and G. Erdos, 2021 Generic development methodology
for flexible robotic pick-and-place workcells based on digital
twin. Robotics and Computer-Integrated Manufacturing 71:
102140.
- Turki, F., H. Gritli, and S. Belghith, 2020 An LMI-based design
of a robust state-feedback control for the master-slave tracking
of an impact mechanical oscillator with double-side rigid
constraints and subject to bounded-parametric uncertainty. Communications
in Nonlinear Science and Numerical Simulation 82:
105020.
- Wang, J., W. Chen, X. Xiao, Y. Xu, C. Li, et al., 2021 A survey
of the development of biomimetic intelligence and robotics.
Biomimetic Intelligence and Robotics 1: 100001.
- Zhang, C. and Y. Wu, 2021 P-Rob six-degree-of-freedom robot
manipulator dynamics modeling and anti-disturbance control.
IEEE Access 9: 141403–141420.
- Zilong Zhang, C. S. S., 2022 Underactuated mechanical systems
– a review of control design. Journal of Vibration Testing and
System Dynamics 6: 21–51.
Comparison Between Some Nonlinear Controllers for the Position Control of Lagrangian-type Robotic Systems
Year 2022,
Volume: 4 Issue: 4, 179 - 196, 31.12.2022
Sahar Jenhani
,
Hassène Gritli
,
Professor Giuseppe Carbone
Abstract
This work addresses the set-point control problem of the position of fully-actuated Lagrangian-type robotic systems by means of some nonlinear control laws. We adopt four different nonlinear control laws: the PD plus gravity compensation controller, the PD plus desired gravity compensation controller, the computed-torque controller and the augmented PD plus gravity compensation controller. An in-depth comparison between these control laws and their application is achieved. Indeed, using some properties, we design some conditions on the feedback gains of the nonlinear controllers ensuring the stability in the closed loop of the zero-equilibrium point and its uniqueness. At the end of this work, we adopt a planar two-degree-of-freedom manipulator robot to illustrate via simulation the difference between and the efficiency of the adopted nonlinear controllers.
References
- Abbas, M., S. Al Issa, and S. K. Dwivedy, 2021 Event-triggered
adaptive hybrid position-force control for robot-assisted ultrasonic
examination system. Journal of Intelligent & Robotic Systems
102: 84–102.
- Abdul-Adheem, W. R., I. K. Ibraheem, A. J. Humaidi, and A. T.
Azar, 2021 Model-free active input–output feedback linearization
of a single-link flexible joint manipulator: An improved
active disturbance rejection control approach. Measurement and
Control 54: 856–871.
- Ahmed, T.,M. Assad-Uz-Zaman, M. R. Islam, D. Gottheardt, E. Mc-
Gonigle, et al., 2021 Flexohand: A hybrid exoskeleton-based
novel hand rehabilitation device. Micromachines 12.
- Biswal, P. and P. K. Mohanty, 2021 Development of quadruped
walking robots: A review. Ain Shams Engineering Journal 12:
2017–2031.
- Bjelonic, M., N. Kottege, and P. Beckerle, 2016 Proprioceptive control
of an over-actuated hexapod robot in unstructured terrain.
In 2016 IEEE/RSJ International Conference on Intelligent Robots and
Systems (IROS), pp. 2042–2049.
- Chai, H., Y. Li, R. Song, G. Zhang, Q. Zhang, et al., 2021 A survey
of the development of quadruped robots: Joint configuration,
dynamic locomotion control method and mobile manipulation
approach. Biomimetic Intelligence and Robotics p. 100029.
- Chawla, I. and A. Singla, 2021 Real-time stabilization control of
a rotary inverted pendulum using LQR-based sliding mode
controller. Arabian Journal for Science and Engineering 46: 2589–
2596.
- Choukchou-Braham, A., B. Cherki, M. Djemai, and K. Busawon,
2014 Analysis and Control of Underactuated Mechanical Systems.
Springer-Verlag, New York.
- da Costa Barros, I. R. and T. P. Nascimento, 2021 Robotic mobile
fulfillment systems: A survey on recent developments and research
opportunities. Robotics and Autonomous Systems 137:
103729.
- Gonzalez-Aguirre, J. A., R. Osorio-Oliveros, K. L. Rodriguez-
Hernandez, J. Lizarraga-Iturralde, R. M. Menendez, et al., 2021
Service robots: Trends and technology. Applied Sciences 11:
10702.
- González, C., J. E. Solanes, A. Muñoz, L. Gracia, V. Girbés-Juan,
et al., 2021 Advanced teleoperation and control system for industrial
robots based on augmented virtuality and haptic feedback.
Journal of Manufacturing Systems 59: 283–298.
- Gritli, H., 2020 LMI-based robust stabilization of a class of inputconstrained
uncertain nonlinear systems with application to a
helicopter model. Complexity 2020: 7025761.
- Gritli, H. and S. Belghith, 2018 Robust feedback control of the
underactuated Inertia Wheel Inverted Pendulum under parametric
uncertainties and subject to external disturbances: LMI
formulation. Journal of The Franklin Institute 355: 9150–9191.
- Gritli, H. and S. Belghith, 2021 LMI-based synthesis of a robust
saturated controller for an underactuated mechanical system
subject to motion constraints. European Journal of Control 57:
179–193.
- Gritli, H., S. Jenhani, and G. Carbone, 2022 Position control of
robotic systems via an affine PD-based controller: Comparison
between two design approaches. In 2022 5th International Conference
on Advanced Systems and Emergent Technologies (IC_ASET),
pp. 424–432.
- Gu, E. Y. L., 2013 Control of Robotic Systems, volume 1. Springer,
Berlin, Heidelberg.
Gualtieri, L., E. Rauch, and R. Vidoni, 2021 Development and
validation of guidelines for safety in human-robot collaborative
assembly systems. Computers & Industrial Engineering p.
107801.
- Hasan, S. K. and A. K. Dhingra, 2021 Development of a model reference
computed torque controller for a human lower extremity
exoskeleton robot. Proceedings of the Institution of Mechanical
Engineers, Part I: Journal of Systems and Control Engineering
235: 1615–1637.
- Islam, M. R., M. Assad-Uz-Zaman, and M. H. Rahman, 2020 Design
and control of an ergonomic robotic shoulder for wearable
exoskeleton robot for rehabilitation. International Journal of Dynamics
and Control 8: 312–325.
- Jafari, M., S. Mobayen, F. Bayat, and H. Roth, 2023 A nonsingular
terminal sliding algorithm for swing and stance control of a
prosthetic leg robot. Applied Mathematical Modelling 113: 13–
29.
- Jenhani, S., H. Gritli, and G. Carbone, 2022a Design and computation
aid of command gains for the position control of manipulator
robots. In 2022 International Conference on Decision Aid Sciences
and Applications (DASA), pp. 1558–1564.
- Jenhani, S., H. Gritli, and G. Carbone, 2022b Design of an affine
control law for the position control problem of robotic systems
based on the development of a linear dynamic model. In 2022
5th International Conference on Advanced Systems and Emergent
Technologies (IC_ASET), pp. 403–411.
- Jenhani, S., H. Gritli, and G. Carbone, 2022c Determination of
conditions on feedback gains for the position control of robotic
systems under an affine PD-based control law. In 2022 5th International
Conference on Advanced Systems and Emergent Technologies
(IC_ASET), pp. 518–526.
- Jenhani, S., H. Gritli, and G. Carbone, 2022d LMI-based optimization
for the position feedback control of underactuated robotic
systems via an affine PD controller: Case of the pendubot. In
2022 International Conference on Data Analytics for Business and
Industry (ICDABI) (DATA’22), pp. 768–774, virtual, Bahrain.
- Jenhani, S., H. Gritli, and G. Carbone, 2022e Position control of Lagrangian
robotic systems via an affine PID-based controller and
using the LMI approach. In Advances in Italian Mechanism Science,
edited by V. Niola, A. Gasparetto, G. Quaglia, and G. Carbone,
pp. 727–737, Cham, Springer International Publishing.
- Jenhani, S., H. Gritli, and G. Carbone, 2022f Position feedback
control of Lagrangian robotic systems via an affine PD-based
control law. Part 1: Design of LMI conditions. In 2022 IEEE 2nd
International Maghreb Meeting of the Conference on Sciences and
Techniques of Automatic Control and Computer Engineering (MISTA),
pp. 171–176
- Jenhani, S., H. Gritli, and G. Carbone, 2022g Position feedback
control of Lagrangian robotic systems via an affine PD-based control law. Part 2: Improved results. In 2022
IEEE 2nd International Maghreb Meeting of the Conference on Sciences and Techniques
of Automatic Control and Computer Engineering (MI-STA), pp. 177–
182.
- Jiang, Y., K. Lu, C. Gong, and H. Liang, 2020 Robust composite
nonlinear feedback control for uncertain robot manipulators.
International Journal of Advanced Robotic Systems 17:
1729881420914805.
- Kalita, B., J. Narayan, and S. K. Dwivedy, 2021 Development of active
lower limb robotic-based orthosis and exoskeleton devices:
A systematic review. International Journal of Social Robotics 3:
775–793.
- Kelly, R., V. S. Davila, and A. Loría, 2005 Control of Robot Manipulators
in Joint Space. Advanced Textbooks in Control and Signal
Processing, Springer-Verlag, London.
- Koditschek, D. E., 2021 What is robotics? why do we need it and
how can we get it? Annual Review of Control, Robotics, and
Autonomous Systems 4: 1–33.
- Krafes, S., Z. Chalh, and A. Saka, 2018 A review on the control of
second order underactuated mechanical systems. Complexity
2018: 9573514.
- Kurdila, A. J. and P. Ben-Tzvi, 2019 Dynamics and Control of Robotic
Systems. Control Process & Measurements, Wiley, first edition.
- Li, X., B. Liu, and L. Wang, 2020 Control system of the six-axis
serial manipulator based on active disturbance rejection control.
International Journal of Advanced Robotic Systems 17:
1729881420939476.
- Liu, P., M. N. Huda, L. Sun, and H. Yu, 2020 A survey on underactuated
robotic systems: Bio-inspiration, trajectory planning and
control. Mechatronics 72: 102443.
- Liu, Y. and H. Yu, 2013 A survey of underactuated mechanical
systems. IET Control Theory Applications 7: 921–935.
- Mobayen, S., F. Tchier, and L. Ragoub, 2017 Design of an adaptive
tracker for n-link rigid robotic manipulators based on supertwisting
global nonlinear sliding mode control. International
Journal of Systems Science 48: 1990–2002.
- Narayan, J. and S. K. Dwivedy, 2021 Robust LQR-based neuralfuzzy
tracking control for a lower limb exoskeleton system with
parametric uncertainties and external disturbances. Applied
Bionics and Biomechanics 2021: 5573041.
- Nho, H. C. and P. Meckl, 2003 Intelligent feedforward control
and payload estimation for a two-link robotic manipulator.
IEEE/ASME transactions on mechatronics 8: 277–282.
- Parulski, P., P. Bartkowiak, and D. Pazderski, 2021, 11 Evaluation
of linearization methods for control of the pendubot. Applied
Sciences 11: 1–13.
- Perrusquia, A., J. A. Flores-Campos, and C. R. Torres-San-Miguel,
2020 A novel tuning method of PD with gravity compensation
controller for robot manipulators. IEEE Access 8: 114773–114783.
- Singla, A. and G. Singh, 2017 Real-time swing-up and stabilization
control of a cart-pendulum system with constrained cart movement.
International Journal of Nonlinear Sciences and Numerical
Simulation 18: 525–539.
- Spong, M. W., 2022 An historical perspective on the control of
robotic manipulators. Annual Review of Control, Robotics, and
Autonomous Systems 5: 1–31.
- Spong, M.W., S. Hutchinson, and M. Vidyasagar, 2020 Robot Modeling
and Control. Robotics, John Wiley & Sons Inc, second edition.
Tarnita, D., I. D. Geonea, D. Pisla, G. Carbone, B. Gherman, et al.,
2022 Analysis of dynamic behavior of parreex robot used in
upper limb rehabilitation. Applied Sciences 12.
- Tipary, B. and G. Erdos, 2021 Generic development methodology
for flexible robotic pick-and-place workcells based on digital
twin. Robotics and Computer-Integrated Manufacturing 71:
102140.
- Turki, F., H. Gritli, and S. Belghith, 2020 An LMI-based design
of a robust state-feedback control for the master-slave tracking
of an impact mechanical oscillator with double-side rigid
constraints and subject to bounded-parametric uncertainty. Communications
in Nonlinear Science and Numerical Simulation 82:
105020.
- Wang, J., W. Chen, X. Xiao, Y. Xu, C. Li, et al., 2021 A survey
of the development of biomimetic intelligence and robotics.
Biomimetic Intelligence and Robotics 1: 100001.
- Zhang, C. and Y. Wu, 2021 P-Rob six-degree-of-freedom robot
manipulator dynamics modeling and anti-disturbance control.
IEEE Access 9: 141403–141420.
- Zilong Zhang, C. S. S., 2022 Underactuated mechanical systems
– a review of control design. Journal of Vibration Testing and
System Dynamics 6: 21–51.