Operational space control of a lightweight robotic arm actuated by shape memory alloy wires: A comparative study

This article presents the design and control of a two-link lightweight robotic arm using shape memory alloy wires as actuators. Both a single-wire actuated system and an antagonistic configuration system are tested in open and closed loops. The mathematical model of the shape memory alloy wire, as well as the kinematics and dynamics of the robotic arm, are presented. The operational space control of the robotic arm is performed using a joint space control in the inner loop and closed-loop inverse kinematics in the outer loop. In order to choose the best joint space control approach, a comparative study of four different control approaches (proportional derivative, sliding mode, adaptive, and adaptive sliding mode control) is carried out for the proposed model. From this comparative analysis, the adaptive controller was chosen to perform operational space control. This control helps us to perform accurate positioning of the end-effector of shape memory alloy wire–based robotic arm. The complete operational space control was successfully tested through simulation studies performing position reference tracking in the end-effector space. Through simulation studies, the proposed control solution is successfully verified to control the hysteretic robotic arm.

[1]  Haoyong Yu,et al.  Design and control of a novel compliant differential shape memory alloy actuator , 2015 .

[2]  Thanh Nho Do,et al.  A survey on hysteresis modeling, identification and control , 2014 .

[3]  Francesca Passaretti,et al.  A new design of a Nitinol ring-like wire for suturing in deep surgical field. , 2015, Materials science & engineering. C, Materials for biological applications.

[4]  Martin B.G. Jun,et al.  Fuzzy PWM-PID control of cocontracting antagonistic shape memory alloy muscle pairs in an artificial finger , 2011 .

[5]  Jonathan Luntz,et al.  Experimental characterization of the convective heat transfer from Shape Memory Alloy (SMA) wire to various ambient environments , 2008 .

[6]  David Dean,et al.  Three Dimensional Printing of Stiffness-tuned, Nitinol Skeletal Fixation Hardware with an Example of Mandibular Segmental Defect Repair , 2016 .

[7]  Fei Gao,et al.  A prototype of a biomimetic mantle jet propeller inspired by cuttlefish actuated by SMA wires and a theoretical model for its jet thrust , 2014 .

[8]  Seyed Mojtaba Zebarjad,et al.  Effect of pre-strain on microstructure of Ni–Ti orthodontic archwires , 2008 .

[9]  Craig A. Rogers,et al.  One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials , 1990 .

[10]  Sayed Khatiboleslam Sadrnezhaad,et al.  Effects of material properties on mechanical performance of Nitinol stent designed for femoral artery: Finite element analysis , 2012 .

[11]  N. Pandis,et al.  Nickel-Titanium (NiTi) Arch Wires: The Clinical Significance of Super Elasticity , 2010 .

[12]  Constantin Florin Caruntu,et al.  Spiking neural network for controlling the artificial muscles of a humanoid robotic arm , 2014, 2014 18th International Conference on System Theory, Control and Computing (ICSTCC).

[13]  Holger Voos,et al.  Adaptive Control of Hysteretic Robotic arm in Operational Space , 2016, ICMCE '16.

[14]  Haoyong Yu,et al.  Output-Feedback Adaptive Neural Control of a Compliant Differential SMA Actuator , 2017, IEEE Transactions on Control Systems Technology.

[15]  Rogelio Lozano,et al.  Adaptive Control: Algorithms, Analysis and Applications , 2011 .

[16]  Jinkun Liu,et al.  Advanced Sliding Mode Control for Mechanical Systems , 2011 .

[17]  Darwin G. Caldwell,et al.  Control design of shape memory alloy based multi-arm continuum robot inspired by octopus , 2014, 2014 9th IEEE Conference on Industrial Electronics and Applications.

[18]  Gang Tao,et al.  Multivariable adaptive control: A survey , 2014, Autom..

[19]  Antonio Concilio,et al.  Wing Shape Control through an SMA-Based Device , 2009 .

[20]  Mohammad Elahinia,et al.  Design, modeling and experimental evaluation of a minimally invasive cage for spinal fusion surgery utilizing superelastic Nitinol hinges , 2015 .

[21]  Darren M. Dawson,et al.  Lyapunov-Based Control of Mechanical Systems , 2000 .

[22]  Somasundar Kannan.  Modeling and control of Shape Memory Alloy Actuator. (Modélisation et commande de actionneurs à alliage à memoire de forme) , 2011 .

[23]  Min Young Kim,et al.  Tunable-focus liquid lens system controlled by antagonistic winding-type SMA actuator. , 2009, Optics express.

[24]  Miguel A. Olivares-Méndez,et al.  Adaptive Control of Robotic arm with Hysteretic Joint , 2016, ICCMA '16.

[25]  J. N. Reddy,et al.  Design of Shape Memory Alloy (SMA) Actuators , 2015 .

[26]  E. Patoor,et al.  Laguerre model based adaptive control of antagonistic shape memory alloy (SMA) actuator , 2010, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[27]  Bu Hyun Shin,et al.  A Miniaturized Tadpole Robot Using an Electromagnetic Oscillatory Actuator , 2015 .

[28]  Alireza Khodayari,et al.  Fuzzy PID controller design for artificial finger based SMA actuators , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[29]  Mohammad Elahinia,et al.  Control of an automotive shape memory alloy mirror actuator , 2010 .

[30]  Antonio Barrientos,et al.  Músculos Inteligentes en Robots Biológicamente Inspirados: Modelado, Control y Actuación , 2011 .

[31]  Oussama Khatib,et al.  A unified approach for motion and force control of robot manipulators: The operational space formulation , 1987, IEEE J. Robotics Autom..

[32]  Vincenzo Lippiello,et al.  Design, modeling and control of a 5-DoF light-weight robot arm for aerial manipulation , 2015, 2015 23rd Mediterranean Conference on Control and Automation (MED).

[33]  E Patoor,et al.  Application of Laguerre based adaptive predictive control to Shape Memory Alloy (SMA) Actuator. , 2013, ISA transactions.

[34]  M. Sreekumar,et al.  Application of trained NiTi SMA actuators in a spatial compliant mechanism: Experimental investigations , 2009 .

[35]  Gangbing Song,et al.  Adaptive online inverse control of a shape memory alloy wire actuator using a dynamic neural network , 2013 .

[36]  Friedrich K. Straub,et al.  Development of an SMA Actuator for In-flight Rotor Blade Tracking , 2004 .

[37]  Hashem Ashrafiuon,et al.  Nonlinear Control of a Shape Memory Alloy Actuated Manipulator , 2002 .

[38]  Nguyen Trong Tai,et al.  Output Feedback Direct Adaptive Controller for a SMA Actuator With a Kalman Filter , 2012, IEEE Transactions on Control Systems Technology.

[39]  Nickel-titanium (NiTi) arch wires: the clinical significance of super elasticity , 2011, BDJ.

[40]  Miguel A. Olivares-Mendez,et al.  Operational Space Control of a Lightweight Robotic Arm Actuated by Shape Memory Alloy (SMA) Wires , 2016 .

[41]  Sung-Hoon Ahn,et al.  Effect of twist morphing wing segment on aerodynamic performance of UAV , 2016 .

[42]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[43]  Mohammad Elahinia,et al.  Adaptive ankle–foot orthoses based on superelasticity of shape memory alloys , 2015 .