22nd Mediterranean Conference on Control and Automation 2014
DOI: 10.1109/med.2014.6961584
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H∞ feedback control for Parallel mechanism and application to delta robot

Abstract: This paper discusses the design of an H∞ MIMO centralized feedback controller applied to a 3 DOF parallel robot namely the "Delta robot". The designed controller is used in combination with a feed-forward pre-computed torque (a priori torque). The simulation results for a complex trajectory used in pick and place operation with high acceleration (12 G) show the performance improvements obtained by the total controller (a priori torque + H∞ feedback) in comparison to the conventional decentralized PID controlle… Show more

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Cited by 9 publications
(6 citation statements)
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“…where l i are the Lagrange multipliers; F PX , F PY , and F PZ are the applied external forces at the point P; t i are the applied external torques at the active joints. Note that equations (10) to (13) are functions of nine variables X P , Y P , Z P , 1i , and l i . Therefore, the equations will be solved with the constraint equations as equation (2).…”
Section: Kinematicsmentioning
confidence: 99%
See 1 more Smart Citation
“…where l i are the Lagrange multipliers; F PX , F PY , and F PZ are the applied external forces at the point P; t i are the applied external torques at the active joints. Note that equations (10) to (13) are functions of nine variables X P , Y P , Z P , 1i , and l i . Therefore, the equations will be solved with the constraint equations as equation (2).…”
Section: Kinematicsmentioning
confidence: 99%
“…2. The Lagrange multipliers l i can be obtained by solving equations (10) to (12), where the applied forces F PX , F PY , and F PZ are given. 3.…”
Section: Kinematicsmentioning
confidence: 99%
“…e existing control strategies that have been applied to the parallel robot include PID control [7][8][9][10][11], calculated torque control [12][13][14][15][16][17], and sliding mode variable structure control [18][19][20]. ese methods have higher requirements on the model of the control object, and the operating conditions and operating environment are deterministic.…”
Section: Introductionmentioning
confidence: 99%
“…e method of calculating torque control is to simplify the dynamic model of each joint and carry out decoupling control, which can achieve linear control of each joint. In literature [12][13][14][15][16][17], the dynamics control of the robot is realized based on the computational torque control method which achieves a good trajectory tracking control. In order to improve the tracking performance of the system, various improvements and compensations are made to predict or calculate the torque in the literature, and the robustness of the system is analyzed.…”
Section: Introductionmentioning
confidence: 99%
“…The main objective of this control strategy is to present good trajectory tracking even in the presence of model uncertainties. A similar control approach was proposed by Rachedi, Bouri and Hemici (2014) and applied to the Delta robot, which is a 3-DOF parallel mechanism. Moreover, there are many other control strategies that have been used to control different parallel architectures, from the traditional designs as the PID controller (AL-MAYYAHI; ALDAIR; CHATWIN, 2020) and the LQR control (YUN; to the more unconventional ones such as adaptive control (ANSARIESHLAGHI; EBERHARD, 2019), fuzzy control (WEN et al, 2019) and deep reinforcement learning (MA et al, 2019).…”
Section: Introductionmentioning
confidence: 99%