Nonlinear Discrete Observer for Flexibility Compensation of Industrial Robots

Abstract This paper demonstrates the solutions of digital observer implementation for industrial applications. A nonlinear high-gain discrete observer is proposed to compensate the tracking error due to the flexibility of robot manipulators. The proposed discrete observer is obtained by using Euler approximate discretization of the continuous observer. A series of experimental validations have been carried out on a 6 DOF industrial manipulator during a Friction Stir Welding process. The results showed good performance of discrete observer and the observer based compensation has succeed to correct the positioning error in real-time implementation.

[1]  H. Khalil,et al.  Discrete-time implementation of high-gain observers for numerical differentiation , 1999 .

[2]  Dragan Nesic,et al.  A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models , 2004, IEEE Transactions on Automatic Control.

[3]  Gabriel Abba,et al.  Robustness and Safe Sampling of Distributed-Delay Control Laws for Unstable Delayed Systems , 2012, IEEE Transactions on Automatic Control.

[4]  M. Spong,et al.  Robot Modeling and Control , 2005 .

[5]  Ahmet íStüNtüRk,et al.  Output feedback stabilization of nonlinear dual-rate sampled-data systems via an approximate discrete-time model , 2012 .

[6]  Jinna Qin,et al.  Non-Linear Observer-Based Control of Flexible-Joint Manipulators Used in Machine Processing , 2012 .

[7]  Heidar A. Malki,et al.  Control Systems Technology , 2001 .

[8]  B. T. Krishna Studies on fractional order differentiators and integrators: A survey , 2011, Signal Process..

[9]  George A. Perdikaris Computer Controlled Systems , 1991 .

[10]  Wisama Khalil,et al.  SYMORO+: A system for the symbolic modelling of robots , 1997, Robotica.

[11]  Alessandro De Luca,et al.  An Acceleration-based State Observer for Robot Manipulators with Elastic Joints , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[12]  F. Leonard First-order optimal reduced-delay sample-data holds , 1999, IEEE Trans. Autom. Control..

[13]  Jinna Qin,et al.  Experimental external force estimation using a non-linear observer for 6 axes flexible-joint industrial manipulators , 2013, 2013 9th Asian Control Conference (ASCC).

[14]  Dragan Nesic,et al.  Stabilization of sampled-data nonlinear systems via backstepping on their Euler approximate model , 2006, Autom..

[15]  P. Kokotovic,et al.  Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations , 1999 .

[16]  Sylvie Galichet,et al.  Observer-based fuzzy adaptive control for a class of nonlinear systems: real-time implementation for a robot wrist , 2004, IEEE Transactions on Control Systems Technology.

[17]  Ahmet Üstüntürk Output feedback stabilization of nonlinear dual-rate sampled-data systems via an approximate discrete-time model , 2012, Autom..

[18]  Wisama Khalil,et al.  Modeling, Identification and Control of Robots , 2003 .

[19]  Dragan Nesic,et al.  A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation , 2004, Autom..

[20]  Xin Zhao,et al.  Empirical Dynamic Modeling of Friction Stir Welding Processes , 2009 .

[21]  B. Anderson,et al.  Digital control of dynamic systems , 1981, IEEE Transactions on Acoustics, Speech, and Signal Processing.