Tracking Control and Deflection Suppression of an AMM Modelled TLFM Using Backstepping Based Adaptive SMC Technique

Manipulators are widely used in all areas of science and technology. Effective trajectory tracking and quick deflection suppression are the two main aspect of research for a flexible manipulator. The paper reports aperiodic signal like trajectory tracking control for a planar assumed modes modelled two-link flexible manipulator (TLFM). The aperiodic chaotic signal is used as a desired trajectory for the TLFM. Thus, designing of a robust controller for the aperiodic signal tracking control is a challenging task. A backstepping based adaptive SMC technique is designed for the considered problem. In adaptive SMC, the gain of the switching control law is estimated online. The effectiveness of the considered controller is compared to an available backstepping controller. It is found that the designed backstepping based adaptive SMC perform better in terms of smaller tracking time, quick tip deflection suppression and lesser, smoother control efforts. Proposed trajectory strategy is validated on a two-link flexible manipulator in MATLAB simulation environment.

[1]  Ieee Staff 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT) , 2017 .

[2]  Jung-Shan Lin,et al.  Backstepping Control Design of a Single-Link Flexible Robotic Manipulator , 2008 .

[3]  Linjun Zhang,et al.  Observer-based partial differential equation boundary control for a flexible two-link manipulator in task space , 2012 .

[4]  B. K. Roy,et al.  Second-order SMC for tip trajectory tracking and tip deflection suppression of an AMM modelled nonlinear TLFM , 2018 .

[5]  S. Beach,et al.  Elder Abuse in Assisted Living , 2013, Journal of applied gerontology : the official journal of the Southern Gerontological Society.

[6]  Helmut Schwarz,et al.  Adaptive augmented state feedback control for an experimental planar two-link flexible manipulator , 1998, IEEE Trans. Robotics Autom..

[7]  S. Mobayen,et al.  An adaptive fast terminal sliding mode control combined with global sliding mode scheme for tracking control of uncertain nonlinear third-order systems , 2015 .

[8]  Jean Bosco Mbede,et al.  Exponential Tracking Control Using Backstepping Approach for Voltage-Based Control of a Flexible Joint Electrically Driven Robot , 2014, J. Robotics.

[9]  Bidyadhar Subudhi,et al.  Real-Time Adaptive Control of a Flexible Manipulator Using Reinforcement Learning , 2012, IEEE Transactions on Automation Science and Engineering.

[10]  Bidyadhar Subudhi,et al.  Adaptive time-varying super-twisting global SMC for projective synchronisation of flexible manipulator , 2018 .

[11]  Badri Narayan Subudhi,et al.  Robust tip trajectory synchronisation between assumed modes modelled two-link flexible manipulators using second-order PID terminal SMC , 2017, Robotics Auton. Syst..

[12]  Zaharuddin Mohamed,et al.  Hybrid vibration and rest-to-rest control of a two-link flexible robotic arm using H∞ loop-shaping control design , 2016 .

[13]  Julien Clinton Sprott,et al.  Chaotic hyperjerk systems , 2006 .

[14]  Chang Tai Kiang,et al.  Review of Control and Sensor System of Flexible Manipulator , 2015, J. Intell. Robotic Syst..

[15]  Keith J. Burnham,et al.  Adaptive backstepping sliding mode control for feedforward uncertain systems , 2011, Int. J. Syst. Sci..

[16]  M. Z. Jahromi,et al.  Chattering-free fuzzy sliding mode control in MIMO uncertain systems , 2009 .

[17]  Yang Yu,et al.  Back-stepping control of two-link flexible manipulator based on an extended state observer , 2015 .

[18]  Bidyadhar Subudhi,et al.  SMC Controlled Chaotic Trajectory Tracking of Two-Link Flexible Manipulator with PID Sliding Surface , 2016 .

[19]  Alan S. Morris,et al.  Dynamic modelling, simulation and control of a manipulator with flexible links and joints , 2002, Robotics Auton. Syst..

[20]  Alessandro De Luca,et al.  Closed-form dynamic model of planar multilink lightweight robots , 1991, IEEE Trans. Syst. Man Cybern..

[21]  Yao-Nan Wang,et al.  Robust Adaptive Trajectory Tracking Sliding mode control based on Neural networks for Cleaning and Detecting Robot Manipulators , 2015, J. Intell. Robotic Syst..

[22]  Alan S. Morris,et al.  Soft computing methods applied to the control of a flexible robot manipulator , 2009, Appl. Soft Comput..

[23]  K. Lochan,et al.  A review on two-link flexible manipulators , 2016, Annu. Rev. Control..

[24]  Bidyadhar Subudhi,et al.  Nonlinear Adaptive Model Predictive Controller for a Flexible Manipulator: An Experimental Study , 2014, IEEE Transactions on Control Systems Technology.

[25]  Shaocheng Tong,et al.  Adaptive fuzzy backstepping output constraint control of flexible manipulator with actuator saturation , 2017, Neural Computing and Applications.

[26]  Liang Xu,et al.  Adaptive backstepping trajectory tracking control of robot manipulator , 2012, J. Frankl. Inst..